NOBLE DRILLING CORP
S-3, 1995-05-12
DRILLING OIL & GAS WELLS
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<PAGE>   1
 
      AS FILED WITH THE SECURITIES AND EXCHANGE COMMISSION ON MAY 12, 1995
                                                      REGISTRATION NO. 33-
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
 
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549
                            ------------------------
                                    FORM S-3
                          REGISTRATION STATEMENT UNDER
                           THE SECURITIES ACT OF 1933
                            ------------------------
                           NOBLE DRILLING CORPORATION
             (EXACT NAME OF REGISTRANT AS SPECIFIED IN ITS CHARTER)
 
<TABLE>
<S>                                           <C>
                   DELAWARE                                     73-0374541
       (STATE OR OTHER JURISDICTION OF                       (I.R.S. EMPLOYER
        INCORPORATION OR ORGANIZATION)                     IDENTIFICATION NO.)
</TABLE>
 
                        10370 RICHMOND AVENUE, SUITE 400
                              HOUSTON, TEXAS 77042
                                 (713) 974-3131
 
         (ADDRESS, INCLUDING ZIP CODE, AND TELEPHONE NUMBER, INCLUDING
            AREA CODE, OF REGISTRANT'S PRINCIPAL EXECUTIVE OFFICES)
                            ------------------------
 
                                  JAMES C. DAY
                CHAIRMAN, PRESIDENT AND CHIEF EXECUTIVE OFFICER
                           NOBLE DRILLING CORPORATION
                        10370 RICHMOND AVENUE, SUITE 400
                              HOUSTON, TEXAS 77042
                                 (713) 974-3131
 
           (NAME, ADDRESS, INCLUDING ZIP CODE, AND TELEPHONE NUMBER,
                   INCLUDING AREA CODE, OF AGENT FOR SERVICE)
                            ------------------------
                                   Copies to:
 
<TABLE>
<S>                                           <C>
              ROBERT D. CAMPBELL                          WILLIAM P. ROGERS, JR.
           THOMPSON & KNIGHT, P.C.                       CRAVATH, SWAINE & MOORE
       1700 PACIFIC AVENUE, SUITE 3300                       WORLDWIDE PLAZA
             DALLAS, TEXAS 75201                            825 EIGHTH AVENUE
                (214) 969-1700                           NEW YORK, NEW YORK 10019
                                                              (212) 474-1000
</TABLE>
 
                            ------------------------
     APPROXIMATE DATE OF COMMENCEMENT OF PROPOSED SALE TO THE PUBLIC: As soon as
practicable after this registration statement becomes effective.
 
     If the only securities being registered on this Form are being offered
pursuant to dividend or interest reinvestment plans, please check the following
box. / /
 
     If any of the securities being registered on this Form are to be offered on
a delayed or continuous basis pursuant to Rule 415 under the Securities Act of
1933, other than securities offered only in connection with dividend or interest
reinvestment plans, check the following box. /X/
                            ------------------------
                        CALCULATION OF REGISTRATION FEE
 
<TABLE>
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- ---------------------------------------------------------------------------------------------------
                                                                       PROPOSED
                                                       PROPOSED        MAXIMUM
                                                       MAXIMUM        AGGREGATE
      TITLE OF EACH CLASS OF         AMOUNT TO BE   OFFERING PRICE     OFFERING       AMOUNT OF
    SECURITIES TO BE REGISTERED       REGISTERED     PER UNIT(1)       PRICE(1)    REGISTRATION FEE
- ---------------------------------------------------------------------------------------------------
<S>                                <C>             <C>             <C>             <C>
Common Stock, par value $.10 per
  share............................    11,192,474       $6.75        $75,549,200       $26,052
                                        shares
- ---------------------------------------------------------------------------------------------------
- ---------------------------------------------------------------------------------------------------
</TABLE>
 
(1) Estimated pursuant to Rule 457(c) solely for the purpose of calculating the
    registration fee based on the average of the high and low sales prices of
    the Common Stock reported in the consolidated reporting system for NASDAQ
    National Market System securities on May 8, 1995.
 
                            -----------------------------
 
     THE REGISTRANT HEREBY AMENDS THIS REGISTRATION STATEMENT ON SUCH DATE OR
DATES AS MAY BE NECESSARY TO DELAY ITS EFFECTIVE DATE UNTIL THE REGISTRANT SHALL
FILE A FURTHER AMENDMENT WHICH SPECIFICALLY STATES THAT THIS REGISTRATION
STATEMENT SHALL THEREAFTER BECOME EFFECTIVE IN ACCORDANCE WITH SECTION 8(A) OF
THE SECURITIES ACT OF 1933 OR UNTIL THIS REGISTRATION STATEMENT SHALL BECOME
EFFECTIVE ON SUCH DATE AS THE COMMISSION, ACTING PURSUANT TO SAID SECTION 8(A),
MAY DETERMINE.
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
<PAGE>   2
 
PROSPECTUS
 
11,192,474 SHARES                                            [NOBLE LOGO]
 
NOBLE DRILLING CORPORATION
 
COMMON STOCK
 
($.10 PAR VALUE)
 
This Prospectus relates to the sale from time to time by Salomon Brothers Inc
(the "Purchaser") of a maximum of 11,192,474 shares of Common Stock, par value
$.10 per share ("Common Stock"), of Noble Drilling Corporation, a Delaware
corporation (the "Company"), that may be acquired by the Purchaser either (i)
upon conversion of the $2.25 Convertible Exchangeable Preferred Stock, par value
$1.00 per share (the "$2.25 Preferred Stock"), of the Company or (ii) under the
standby arrangements described herein.
 
The Company has called all of the shares of $2.25 Preferred Stock (the "$2.25
Preferred Shares") for redemption on June 1, 1995 (the "Redemption Date") at a
redemption price equal to $26.575 per share, plus an amount equal to unpaid
dividends accrued thereon from April 1, 1995 through the Redemption Date of
$0.38125 per share, for a total redemption price of $26.95625 per share (the
"Redemption Price"). No dividends will accrue on the $2.25 Preferred Shares from
and after the Redemption Date. The $2.25 Preferred Shares are convertible into
shares of Common Stock at the rate of 5.41946 shares of Common Stock for each
share of $2.25 Preferred Stock, until 5:00 p.m., Central Daylight Savings Time,
on May 31, 1995, the business day prior to the Redemption Date (the "Final
Conversion Date"), at which time the conversion privilege terminates. Cash will
be paid in lieu of any fractional shares of Common Stock. No payment or
adjustment will be made for dividends accrued on $2.25 Preferred Shares
surrendered for conversion.
 
The Company has arranged for the Purchaser to purchase, at a flat price of
$27.10 per $2.25 Preferred Share, all $2.25 Preferred Shares properly tendered
to it or the Paying Agent prior to the expiration of convertibility on the Final
Conversion Date and to convert all such purchased $2.25 Preferred Shares into
shares of Common Stock. The Purchaser may also purchase $2.25 Preferred Shares
in the open market or otherwise prior to expiration of convertibility on the
Final Conversion Date, and any $2.25 Preferred Shares so purchased will be
converted into Common Stock. In addition, in the event that less than all the
$2.25 Preferred Shares are surrendered for conversion prior to the expiration of
convertibility on the Final Conversion Date, the Company has made arrangements
with the Purchaser to purchase from the Company such number of shares of Common
Stock as would have been issuable upon conversion of the $2.25 Preferred Shares
that have not been surrendered for conversion prior to 5:00 p.m., Central
Daylight Savings Time, on the Final Conversion Date. See "Standby Arrangements"
for a description of the Purchaser's compensation and indemnification
arrangements with the Company. The Common Stock is traded through the NASDAQ
National Market System under the symbol "NDCO." On May 11, 1995, the reported
last sale price of the Common Stock, as reported in the NASDAQ National Market
System, was $6.75 per share. See "Price Range of Common Stock and Dividend
Policy."
 
THE CONVERTIBILITY OF THE $2.25 PREFERRED SHARES WILL EXPIRE AT 5:00 P.M.,
CENTRAL DAYLIGHT SAVINGS TIME, ON MAY 31, 1995.
 
NO DIVIDENDS ACCRUED FOR THE PERIOD COMMENCING APRIL 1, 1995 WILL BE PAID ON
$2.25 PREFERRED SHARES DULY SURRENDERED FOR CONVERSION PRIOR TO THE EXPIRATION
OF CONVERTIBILITY.
 
SEE "INVESTMENT CONSIDERATIONS" FOR A DISCUSSION OF CERTAIN FACTORS THAT SHOULD
BE CONSIDERED BY PROSPECTIVE PURCHASERS OF COMMON STOCK.
 
Under the foregoing alternatives, a holder of $2.25 Preferred Shares (a
"Holder") who converted such $2.25 Preferred Shares on May 11, 1995 would have
received Common Stock (including cash in lieu of any fractional share) having a
market value of $36.58, based on the reported last sale price of the Common
Stock, as reported in the NASDAQ National Market System, on that date. As long
as the market price of the Common Stock (after giving effect to commissions and
any other costs of sale) remains at least $5.01 per share, Holders who elect to
convert will receive upon conversion Common Stock (plus cash in lieu of any
fractional share) having a current market value greater than the $27.10 in cash
that they would be entitled to receive if such $2.25 Preferred Shares were
tendered for purchase. It should be noted, however, that the price of the Common
Stock received upon conversion will fluctuate in the market, and that Holders
may incur various expenses of sale if such Common Stock is sold.
 
THESE SECURITIES HAVE NOT BEEN APPROVED OR DISAPPROVED BY THE SECURITIES AND
EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION NOR HAS THE SECURITIES
AND EXCHANGE COMMISSION OR ANY STATE SECURITIES COMMISSION PASSED UPON THE
ACCURACY OR ADEQUACY OF THIS PROSPECTUS. ANY REPRESENTATION TO THE CONTRARY IS A
CRIMINAL OFFENSE.
 
On or before the close of business on June 1, 1995 the Purchaser may offer to
the public Common Stock, including shares acquired through the purchase and
conversion of the $2.25 Preferred Shares, at prices set from time to time by the
Purchaser. It is intended that each such price when set will not exceed the
highest price offered by any dealer not participating in this distribution, as
reported in the NASDAQ National Market System, plus the amount of any
concessions to dealers, and it is intended that an offering price set on any
calendar day will not be increased more than once during such day. After the
close of business on June 1, 1995 the Purchaser may offer Common Stock at a
price or prices to be determined, but it is presently intended that any such
price will be determined in conformity with the preceding sentence. The
Purchaser may thus realize profits or losses independent of the compensation
referred to under "Standby Arrangements." Any Common Stock will be offered by
the Purchaser when, as and if accepted by the Purchaser and subject to its right
to reject orders in whole or in part.
 
This Prospectus covers the sale from time to time by the Purchaser of a maximum
of 11,192,474 shares of Common Stock that may be acquired by the Purchaser upon
conversion of the $2.25 Preferred Shares or pursuant to the standby arrangements
described herein.
- ---------------------------------------------------
SALOMON BROTHERS INC
- --------------------------------------------------------------------------------
The date of this Prospectus is May 12, 1995.
<PAGE>   3
 
     IN CONNECTION WITH THIS OFFERING, THE PURCHASER MAY OVER-ALLOT OR EFFECT
TRANSACTIONS WHICH STABILIZE OR MAINTAIN THE MARKET PRICE OF THE COMMON STOCK,
THE $2.25 PREFERRED STOCK AND THE $1.50 CONVERTIBLE PREFERRED STOCK OF THE
COMPANY AT LEVELS ABOVE THOSE WHICH MIGHT OTHERWISE PREVAIL IN THE OPEN MARKET.
SUCH TRANSACTIONS MAY BE EFFECTED IN THE OVER-THE-COUNTER MARKET OR OTHERWISE.
SUCH STABILIZING, IF COMMENCED, MAY BE DISCONTINUED AT ANY TIME.
 
                             AVAILABLE INFORMATION
 
     The Company is subject to the informational requirements of the Securities
Exchange Act of 1934, as amended (the "Exchange Act"), and in accordance
therewith files reports, proxy and information statements, and other information
with the Securities and Exchange Commission (the "Commission"). These reports,
proxy and information statements, and other information concerning the Company
can be inspected and copied at the public reference facilities maintained by the
Commission at Room 1024, Judiciary Plaza, 450 Fifth Street, N.W., Washington,
D.C. 20549; and at the Commission's regional offices at Citicorp Center, 500
West Madison Street, Suite 1400, Chicago, Illinois 60621-2511 and at Seven World
Trade Center, 13th Floor, New York, New York 10048. Copies of such material can
also be obtained from the Commission at prescribed rates through its Public
Reference Section at 450 Fifth Street, N.W., Washington, D.C. 20549. In
addition, reports, proxy statements and other information filed by the Company
can be inspected at the offices of the National Association of Securities
Dealers, Inc., 1735 K Street, Washington, D.C. 20006.
 
     The Company has filed with the Commission a Registration Statement on Form
S-3 under the Securities Act of 1933, as amended (the "Securities Act"), with
respect to the shares of Common Stock offered hereby (including all amendments
and supplements thereto, the "Registration Statement"). This Prospectus, which
forms a part of the Registration Statement, does not contain all the information
set forth in the Registration Statement, certain parts of which have been
omitted in accordance with the rules and regulations of the Commission.
Statements contained herein concerning the provisions of certain documents are
not necessarily complete and, in each instance, reference is made to the copy of
such document filed as an exhibit to the Registration Statement or otherwise
filed with the Commission. Each such statement is qualified in its entirety by
such reference. The Registration Statement and the exhibits thereto can be
inspected and copied at the public reference facilities and regional offices
referred to above.
 
     On September 15, 1994, Chiles Offshore Corporation ("Chiles") merged with
and into a wholly owned subsidiary of the Company pursuant to the terms of that
certain Agreement and Plan of Merger dated June 13, 1994 among the Company, such
subsidiary and Chiles. Prior to the merger, Chiles was engaged in the drilling
and workover of offshore oil and gas wells on a contract basis for major and
independent oil and gas companies. The Chiles merger has been accounted for as a
"pooling of interests" which results in the historical financial statements of
the Company being restated for prior periods. Unless otherwise specified,
information contained in this Prospectus gives effect to the merger.
 
                INCORPORATION OF CERTAIN DOCUMENTS BY REFERENCE
 
     The following documents, which have been filed with the Commission pursuant
to the Exchange Act, are incorporated herein by reference and made a part of
this Prospectus:
 
          1. The Company's Annual Report on Form 10-K for the fiscal year ended
     December 31, 1994.
 
          2. The Company's Quarterly Report on Form 10-Q for the quarter ended
     March 31, 1995.
 
          3. The description of the Common Stock contained in the Registration
     Statement on Form 10 of the Company heretofore filed with the Commission,
     including any amendments or reports filed for the purpose of updating such
     description.
 
                                        2
<PAGE>   4
 
     All documents filed by the Company pursuant to Section 13(a), 13(c), 14 or
15(d) of the Exchange Act subsequent to the date of this Prospectus and prior to
the termination of the offering of the Common Stock covered hereby shall be
deemed to be incorporated by reference into this Prospectus and to be a part
hereof from the respective dates of filing of such documents. All information
appearing in this Prospectus or in any document incorporated herein by reference
is not necessarily complete and is qualified in its entirety by the information
and financial statements (including notes thereto) appearing in the documents
incorporated herein by reference and should be read together with such
information and documents. Any statement contained in a document or information
incorporated or deemed to be incorporated herein by reference shall be deemed to
be modified or superseded for purposes of this Prospectus to the extent that a
statement contained herein or in any subsequently filed document that also is,
or is deemed to be, incorporated herein by reference, modifies or supersedes
such statement. Any such statement so modified or superseded shall not be
deemed, except as so modified or superseded, to constitute a part of this
Prospectus.
 
     THE COMPANY UNDERTAKES TO PROVIDE, WITHOUT CHARGE, TO EACH PERSON,
INCLUDING ANY BENEFICIAL OWNER, TO WHOM A COPY OF THIS PROSPECTUS IS DELIVERED,
UPON THE WRITTEN OR ORAL REQUEST OF SUCH PERSON, A COPY OF ANY AND ALL OF THE
DOCUMENTS OR INFORMATION REFERRED TO ABOVE THAT HAS BEEN OR MAY BE INCORPORATED
BY REFERENCE IN THIS PROSPECTUS (EXCLUDING EXHIBITS TO SUCH DOCUMENTS UNLESS
SUCH EXHIBITS ARE SPECIFICALLY INCORPORATED BY REFERENCE). REQUESTS SHOULD BE
DIRECTED TO BYRON L. WELLIVER, SENIOR VICE PRESIDENT-FINANCE, TREASURER AND
CONTROLLER, NOBLE DRILLING CORPORATION, 10370 RICHMOND AVENUE, SUITE 400,
HOUSTON, TEXAS 77042 (THE PRINCIPAL EXECUTIVE OFFICES OF THE COMPANY), TELEPHONE
(713) 974-3131.
 
                                        3
<PAGE>   5
 
                                  THE COMPANY
 
     The Company is a leading provider of diversified contract drilling services
for the oil and gas industry worldwide. The Company's activities include
offshore and land drilling services, turnkey drilling services, and engineering
and production management services. The Company's drilling fleet is broadly
diversified allowing it to work in a variety of operating conditions.
 
     The Company's business strategy since becoming a publicly held corporation
in 1985 has been to actively expand its international and offshore capabilities
through acquisitions and to position itself in geologically promising areas. In
addition, the Company attempts to balance its revenues between international and
domestic operations. The Company intends to continue to make selective strategic
acquisitions as opportunities arise. On September 15, 1994, the Company
completed the merger of Chiles Offshore Corporation ("Chiles") with and into a
subsidiary of the Company. Prior to the merger, Chiles was engaged in the
drilling and workover of offshore oil and gas wells on a contract basis for
major and independent oil and gas companies. The assets acquired by the Company
in the merger included a fleet of 13 offshore jackup drilling rigs, 11 of which
are located in the U.S. Gulf of Mexico and two of which are located offshore
Nigeria. Unless otherwise specified, information contained in this Prospectus
gives effect to the merger.
 
     The Company was organized as a Delaware corporation in 1939. The Company
and its predecessors have been engaged in the contract drilling of oil and gas
wells for others domestically since 1921 and internationally during various
periods since 1939. As hereinafter used in this Prospectus, unless otherwise
required by the context, the term "Noble Drilling" refers to Noble Drilling
Corporation and the term "Company" refers to Noble Drilling and its consolidated
subsidiaries (including the Company's subsidiary into which Chiles was merged).
 
     Offshore Drilling Operations. The Company's offshore drilling operations
are conducted worldwide. Principal regions of operations currently include the
Gulf of Mexico, West Africa, Venezuela and, to a lesser extent, India. The
offshore fleet consists of 44 rigs, composed of 32 jackup drilling rigs, eight
submersible rigs and four posted barges. The average age of the offshore fleet
is 14 years, with 34 of the 44 offshore rigs having been built or rebuilt since
1980. The offshore fleet is currently diversified geographically as follows:
U.S. Gulf -- 29 rigs; Mexican Gulf -- two rigs; Nigeria and Zaire -- eight rigs;
Venezuela -- four rigs; and India -- one rig.
 
     The Company's offshore operations also include labor contracts for drilling
and workover activities covering 14 rigs operating in the U.K. North Sea and one
rig operating in the Middle East. These rigs are not owned or leased by the
Company. Under these labor contracts, the Company provides the personnel
necessary to manage and perform the drilling operations from drilling platforms
owned by the operator.
 
     Land Operations. The Company's land drilling operations are conducted in
Canada, Texas and Louisiana. Twenty of the Company's 46 land rigs are being or
can be actively bid by the Company. As of April 30, 1995, 14 of the 46 rigs were
operating under contract, six were available for bidding and 26 were mothballed
or stacked and not being actively marketed. The 20 actively marketed rigs have
an average age of 13 years. The domestic land drilling operations of the Company
have in recent years been de-emphasized strategically as compared to offshore
and international operations, accounting in 1994 for only 2.7 percent of the
Company's total operating revenues.
 
     Turnkey Drilling and Engineering Services. Through its wholly owned
subsidiary, Triton Engineering Services Company ("Triton"), and Triton's
subsidiaries, the Company provides turnkey drilling services and other
engineering and consulting services for the oil and gas industry. Triton is also
engaged in the manufacture and rental of oilfield equipment. The Company
acquired all the issued and outstanding common stock of Triton on April 22, 1994
(the "Triton acquisition").
 
     Through its wholly owned subsidiary, Noble Engineering Services Ltd.
("Noble Engineering"), the Company provides engineering services relating
primarily to the design of drilling equipment for offshore development and
production services. Noble Engineering works, on a contract basis, with
operators and prime construction contractors of drilling and production
platforms in the design of drilling equipment configurations aimed at optimizing
the operational efficiency of developmental drilling by maximizing platform
space utilization and load capability.
 
                                        4
<PAGE>   6
 
                           INVESTMENT CONSIDERATIONS
 
     Prospective purchasers of the Common Stock offered hereby should carefully
consider the following matters, as well as the information contained elsewhere
in this Prospectus and incorporated herein by reference.
 
INTENSE COMPETITION; INDUSTRY CONDITIONS
 
     The offshore contract drilling industry is a highly competitive and
cyclical business characterized by high capital and maintenance costs. Although
conditions in recent years in the oil and gas industry have precipitated
consolidation of offshore contract drilling industry participants, there remains
a substantial oversupply of drilling equipment. As a consequence, there has been
intense competition for available drilling contracts, resulting in much
equipment being idle for long periods of time and generally unfavorable terms
and prices for contract drilling. In addition, certain competitors of the
Company may have access to greater financial resources than the Company.
 
     The Company's operations are materially dependent upon the levels of
activity in offshore world oil and U.S. natural gas exploration, development and
production. Such activity levels are affected both by short-term and long-term
trends in oil and natural gas prices. In recent years, oil and natural gas
prices, and therefore the level of offshore drilling and exploration activity,
have been extremely volatile. Worldwide military, political and economic events,
including initiatives by the Organization of Petroleum Exporting Countries, have
contributed to, and are likely to continue to contribute to, price volatility.
As events during recent years have exhibited, any prolonged reduction in oil and
natural gas prices would depress the level of offshore exploration and
development activity and result in a corresponding decline in the demand for the
Company's services and therefore have a material adverse effect on the Company's
revenues and profitability.
 
     During late 1992, U.S. natural gas prices began to improve. Increasing U.S.
natural gas prices resulted in significant improvements during 1993 in rig
demand and dayrates in the U.S. Gulf of Mexico ("U.S. Gulf"). Declining world
oil prices during this period reduced rig demand outside the U.S. Gulf. As a
result of declining international rig demand and improved market conditions in
the U.S. Gulf, certain contractors mobilized rigs from international markets to
the U.S. Gulf during late 1993 and early 1994. The increased supply of drilling
rigs in the U.S. Gulf more than offset the increased level of U.S. Gulf rig
demand during 1994 and the first quarter of 1995, causing dayrates to
deteriorate. The average dayrate charged by the Company in the first quarter of
1995 in the U.S. Gulf was 16 percent lower than the average dayrate charged by
the Company in the first quarter of 1994. If the price of natural gas in the
U.S., which has increased slightly in recent months, remains at current levels
indefinitely, the Company's dayrates and utilization rates in the U.S. Gulf
could be adversely affected. The Company believes that, absent an improvement in
rig demand outside the U.S. Gulf, the supply of rigs in the U.S. Gulf could
continue to have an adverse effect on dayrates and utilization levels of the
Company's rig fleet through 1995. The Company can predict neither the future
level of demand for its drilling services nor the future conditions in the
offshore contract drilling industry.
 
LOSSES FROM OPERATIONS
 
     The historical financial data for the Company reflect net losses applicable
to common shares of $3,331,000 and $50,078,000 for the three-month period ended
March 31, 1995 and the year ended December 31, 1992, respectively. The Company
had net income applicable to common shares of $4,930,000, $8,759,000 and
$14,916,000 for the three-month period ended March 31, 1994 and the years ended
December 31, 1994 and 1993, respectively. The profitability of the Company is
materially dependent upon the utilization of and rates for its drilling rigs. No
assurance can be given that utilization levels or dayrates will remain at
current levels or that they will not decrease in the future.
 
                                        5
<PAGE>   7
 
SUBSTANTIAL INTERNATIONAL OPERATIONS; NIGERIA AND VENEZUELA
 
     A major portion of the Company's revenues has been attributable to
international operations. Revenues from international sources accounted for
approximately 52 percent and 48 percent of the Company's operating revenues for
the three-month period ended March 31, 1995 and the year ended December 31,
1994, respectively. In addition to the risks inherent in the drilling business
(See "Investment Considerations -- Operational Risks and Insurance"), the
Company's international operations are subject to certain political, economic
and other uncertainties including, among others, risks of war and civil
disturbances, expropriation, nationalization, renegotiation or modification of
existing contracts, taxation policies, foreign exchange restrictions,
international monetary fluctuations, and other hazards arising out of foreign
governmental sovereignty over certain areas in which the Company conducts
operations. International operations are sometimes impacted by laws, regulations
or customs giving preferential considerations to drilling contractors with some
local ownership. Where necessary, international subsidiaries of Noble Drilling
have entered into agreements with foreign companies either to comply with
statutory requirements or to take advantage of the additional consideration
given to companies with local ownership. Furthermore, no predictions can be made
as to what foreign governmental regulations may be enacted in the future that
could be applicable to the contract drilling industry.
 
     The Company has significant operations in Nigeria. In 1994, Nigeria's two
oil worker unions and other national labor unions participated in strikes and
protests which resulted in the suspension of drilling activity in Nigeria by
certain operators but which did not materially adversely affect the Company's
operations. The strikes ended in September 1994.
 
     Currently, the Company has four offshore drilling rigs under contract and
three offshore drilling rigs stacked and available for bidding in Nigeria. The
contracts under which the four rigs are operating each contain provisions
permitting the operator to suspend operations in the event of force majeure and
to terminate the contract if the force majeure continues; however, no operator
has elected to suspend operations pursuant to these provisions. The Company
maintains war and political risk insurance (covering physical damage or loss up
to the insured value of each rig), subject, in the case of certain coverages, to
immediate termination upon certain events or upon termination by the underwriter
on seven days' notice. Revenues from drilling activities in Nigeria accounted
for approximately 10 percent and 13 percent, respectively, of the Company's
operating revenues for the three-month period ended March 31, 1995 and the year
ended December 31, 1994. No assurance can be given that the political and
economic climate in Nigeria will improve or that it will not worsen.
 
     The Company began to operate in Venezuela in late 1993. The Company
currently has four jackup rigs working for Lagoven, a subsidiary of the
government-owned oil company of Venezuela, under well-to-well contracts. The
four rigs were under long-term contracts with Lagoven which expired during the
first quarter of 1995. Negotiations are currently underway to renew contracts
for two of the rigs under an alliance program with Lagoven, and the remaining
two rigs are being actively bid by the Company in Venezuela. Revenues generated
from drilling operations in Venezuela accounted for approximately 10 percent of
the Company's operating revenues for each of the three-month period ended March
31, 1995 and the year ended December 31, 1994. In recent periods, the Venezuelan
economy has experienced high inflation and a shortage of foreign currency.
During a banking crisis in July 1994, the Venezuelan government imposed a
program of currency exchange controls and taxes on certain financial
transactions that temporarily limited the ability of the government-owned oil
companies and their affiliates to make payment in U.S. dollars or other hard
currencies to oilfield service contractors. The Company's operations have not
been materially affected, and the Company continues to receive timely payment
for its services in U.S. dollars. Although timely U.S. dollar payments are
currently being made to the Company, future exchange control actions of the
Venezuelan government could adversely affect the Company's operations in
Venezuela.
 
                                        6
<PAGE>   8
 
DEVALUATION OF MEXICAN CURRENCY
 
     Through the first quarter of 1995, the Company had two rigs working under
contract offshore Mexico in the Bay of Campeche. These two rigs are currently
stacked and being actively bid by the Company in Mexico. Although the Company
expects that any Mexican drilling contracts it will enter into in the future
will require payments in U.S. dollars, the level of drilling activity and the
ability of Mexican parties to meet these obligations will be affected by the
strength of the local currency. In late December 1994, the Mexican government
devalued its currency by approximately 45 percent. The Mexican new peso further
declined in value in the first quarter of 1995; however, the exchange rate has
improved in recent weeks. Revenues from drilling activities in Mexico accounted
for approximately five percent and six percent, respectively, of the Company's
operating revenues for the three-month period ended March 31, 1995 and the year
ended December 31, 1994, and the Company has not to date experienced any
defaults under its Mexican drilling contracts. At this time, it is not known
whether the currency situation in Mexico will cause delays in the renewal of
existing contracts or the execution of new drilling contracts for offshore
Mexico. No assurance can be given that the economic climate in Mexico will
improve or that it will not worsen.
 
CONCENTRATION OF OPERATIONS IN CERTAIN MARKETS
 
     Currently, 31 of the Company's 44 mobile offshore drilling rigs are located
in the Gulf of Mexico (29 in the U.S. Gulf and two in the Mexican Gulf), eight
are located off the coast of West Africa and four are located on Lake Maracaibo
in Venezuela. Consequently, given the concentration of such drilling rigs in
those regions, a decrease in the demand for offshore drilling rigs in the Gulf
of Mexico, and to a lesser extent in West Africa or Venezuela, could have a
material adverse effect on the financial performance of the Company.
 
ABSENCE OF DIVIDENDS ON COMMON STOCK
 
     The Company has not paid any cash dividends on the Common Stock since
becoming a publicly held corporation in October 1985 and does not anticipate
paying dividends on the Common Stock at any time in the foreseeable future. The
$1.50 Convertible Preferred Stock has priority as to dividends over Common
Stock, and no dividend (other than dividends payable solely in Common Stock) may
be declared, paid or set apart for payment on the Common Stock unless all
accrued and unpaid dividends on the $1.50 Convertible Preferred Stock have been
paid or declared and set apart for payment.
 
     Certain terms of the indenture governing the 9 1/4% Senior Notes Due 2003
of the Company may restrict the Company's ability to pay cash dividends on the
Common Stock and the $1.50 Convertible Preferred Stock. In addition, certain
provisions of the Company's bank credit agreement may restrict the payment of
dividends on the Common Stock and $1.50 Convertible Preferred Stock. See
"Description of Capital Stock -- Restrictions on Dividends."
 
RESTRICTIONS ON FOREIGN OWNERSHIP
 
     The Certificate of Incorporation of the Company contains limitations on the
percentage of outstanding shares of any class of stock of the Company that can
be owned by persons who are not United States citizens within the meaning of
certain U.S. statutes relating to ownership of U.S. flag vessels. The Common
Stock and the Company's preferred stock (combining all series of preferred
stock) are considered to be separate classes of stock for this purpose. Applying
the statutory requirements, the Certificate of Incorporation would currently
prohibit more than 45 percent of the outstanding Common Stock or more than 45
percent of the outstanding shares of all series of preferred stock of the
Company combined from being owned by non-U.S. citizens. As of May 2, 1995,
approximately 0.3 percent of the outstanding Common Stock and none of the
outstanding $1.50 Convertible Preferred Stock was held by record holders with
registered addresses outside the United States. The limitations imposed by the
Company's Certificate of Incorporation may at times restrict the ability of the
Company's stockholders to transfer shares of their stock to non-U.S. citizens.
See "Description of Capital Stock -- Foreign Ownership."
 
                                        7
<PAGE>   9
 
OPERATIONAL RISKS AND INSURANCE
 
     The Company's operations are subject to the many hazards inherent in the
drilling business, including blowouts, cratering, fires and collisions or
groundings of offshore equipment, which could cause substantial damage to the
environment, and damage or loss from adverse weather and seas. These hazards
could cause personal injury and loss of life, suspend drilling operations or
seriously damage or destroy the property and equipment involved and, in addition
to environmental damage, could cause substantial damage to producing formations
and surrounding areas. Although the Company maintains insurance against many of
these hazards, such insurance is subject to substantial deductibles and provides
for premium adjustments based on claims. It also excludes certain matters from
coverage, such as loss of earnings on certain rigs. Also, while the Company
generally obtains indemnification from its customers for environmental damage
with respect to offshore drilling, such indemnification is generally only in
excess of a specified amount, which usually ranges from $100,000 to $250,000,
except for Triton and its operations which are discussed below.
 
     In the case of the turnkey drilling operations of Triton, Triton maintains
insurance against pollution and environmental damage in amounts ranging from $5
million to $50 million depending on location, subject to self-insured retentions
of $100,000 to $500,000. Under turnkey drilling contracts, Triton generally
assumes the risk of pollution and environmental damage, but on occasion receives
indemnification from the customer for environmental and pollution liabilities in
excess of Triton's pollution insurance coverage. Further, Triton is not insured
against certain drilling risks that could result in delays or nonperformance of
a turnkey drilling contract, although it generally maintains insurance against
delays related to loss of well control. Triton typically obtains contractual
indemnification from the drilling contractors that provide the rigs for Triton's
turnkey drilling operations for pollution arising from certain acts of such
contractors.
 
     Notwithstanding the insurance coverage carried by and indemnity coverage
provided to the Company, the occurrence of a significant event not fully insured
or indemnified against or the failure of a customer to meet its indemnification
obligations could materially and adversely affect the Company's operations and
financial condition. Moreover, no assurance can be given that the Company will
be able to maintain adequate insurance in the future at rates it considers
reasonable or that particular types of coverage will be available.
 
GOVERNMENTAL REGULATION AND ENVIRONMENTAL MATTERS
 
     Many aspects of the Company's operations are affected by domestic and
foreign political developments and are subject to numerous domestic and foreign
governmental regulations that may relate directly or indirectly to the contract
drilling industry. The regulations applicable to the Company's operations
include certain regulations that control the discharge of materials into the
environment or require remediation of contamination, under certain
circumstances. Usually these environmental laws and regulations impose "strict
liability," rendering a person liable without regard to negligence or fault on
the part of such person. Such environmental laws and regulations may expose the
Company to liability for the conduct of, or conditions caused by, others, or for
acts of the Company that were in compliance with all applicable laws at the time
such acts were performed. It has been the Company's experience that
environmental laws, rules and regulations of the United States are more
stringent than those found in foreign jurisdictions, and therefore the
requirements of foreign jurisdictions do not, in general, impose an additional
compliance burden on the Company.
 
     The U.S. Oil Pollution Act of 1990 ("OPA '90") and the regulations
promulgated pursuant thereto impose certain additional operational requirements
on the Company's domestic offshore rigs and govern liability for leaks, spills
and blowouts. Regulations under OPA '90 may increase the level of financial
assurance required of owners and operators of rigs in the waters of the United
States. The Company has monitored these regulations and does not believe that
they are likely to have a material adverse effect on the Company's financial
condition or results of operations.
 
                                        8
<PAGE>   10
 
     The Company has made and will continue to make expenditures in its efforts
to comply with environmental requirements. The Company does not believe that it
has to date expended material amounts in connection with such activities or that
compliance with such requirements will have a material adverse effect upon the
capital expenditures, results of operations or competitive position of the
Company. Although such requirements do have a substantial impact upon the energy
and energy services industries, generally they do not appear to affect the
Company any differently or to any greater or lesser extent than other companies
in the energy services industry.
 
     The modification of existing laws or regulations or the adoption of new
laws or regulations curtailing exploratory or development drilling for oil and
gas for economic, environmental or other reasons could have a material adverse
effect on the Company's operations by limiting drilling opportunities.
 
LIMITATION ON USE OF NET OPERATING LOSS CARRYFORWARDS
 
     If a corporation undergoes an "ownership change" within the meaning of
Section 382 of the Internal Revenue Code of 1986, as amended (the "Code"), the
corporation's right to use its then-existing net operating loss carryforwards
("NOLs") (and certain other tax attributes), for both regular tax and
alternative minimum tax purposes, during each future year is limited to a
percentage (currently approximately six percent) of the fair market value of
such corporation's stock immediately before the ownership change (the "Section
382 Limitation"). In general, there is an "ownership change" under Section 382
of the Code if over a three-year period certain stockholders increase their
percentage ownership of a corporation (with NOLs) by more than 50 percent. To
the extent that taxable income exceeds the Section 382 Limitation in any year
subsequent to the ownership change, such excess income may not be offset by NOLs
from years prior to the ownership change. To the extent the amount of taxable
income in any subsequent year is less than the Section 382 Limitation for such
year, the Section 382 Limitation for future years is correspondingly increased.
There is generally no restriction on the use of NOLs arising after the ownership
change, although Section 382 of the Code applies anew each time there is an
ownership change. An ownership change for purposes of Section 382 of the Code
took place on September 15, 1994, the date of the merger of Chiles into Noble
Offshore Corporation ("NOC"). The annual Section 382 Limitation attributable to
pre-merger carryforwards of Noble Drilling was $26.8 million at December 31,
1994. The annual Section 382 Limitation attributable to NOC is $17.1 million.
The Section 382 Limitations may limit the ability of Noble Drilling and NOC to
use their respective NOLs in future years, although the actual effect, if any,
of such limitations will depend on the respective profitability of Noble
Drilling and NOC in future years. The Company does not believe that any Section
382 Limitation resulting from such merger or from any prior ownership changes
will have a material adverse effect on the Company's ability to utilize its
NOLs.
 
     At December 31, 1994, Noble Drilling had approximately $112.0 million of
NOLs which expire in the years 2000 through 2009, and NOC had approximately
$68.4 million of NOL's which expire in the years 2004 through 2009.
 
POTENTIAL EXPIRATION OF CONTRACTS; ABSENCE OF CONTRACTS
 
     In general, the Company's drilling contracts extend over a period of time
covering either the drilling of a single well or the drilling of a group of
wells for a stated term. Accordingly, although it varies among markets in which
the Company is active, the Company's contracts are typically for a primary term
of less than one year. Twenty of the Company's offshore rigs are currently
operating under contracts that may expire as early as the end of the second
quarter of 1995. Although the Company anticipates that, upon expiration of any
such contracts, the Company will be able to enter into new contracts for most of
such rigs on terms acceptable to the Company, there can be no assurance that the
Company will be successful in such regard. The inability of the Company to keep
its currently operating rigs working at satisfactory rates, either under
extension of the existing contracts or under replacement contracts, could
materially and adversely affect the Company's results of operations and
financial condition.
 
                                        9
<PAGE>   11
 
                                USE OF PROCEEDS
 
     The net proceeds from the sale of the Common Stock to the Purchaser
pursuant to the agreement described under "Standby Arrangements" will be used to
fund the redemption of any $2.25 Preferred Shares not surrendered for
conversion. Any excess net proceeds, resulting from the Purchaser remitting
certain amounts to the Company (see "Standby Arrangements"), will be used for
general corporate purposes and, pending such uses, are anticipated to be
invested in short-term, interest-bearing investments.
 
                PRICE RANGE OF COMMON STOCK AND DIVIDEND POLICY
 
     The Common Stock is traded in the NASDAQ National Market System under the
symbol "NDCO." The following table sets forth for the periods indicated the high
and low sales prices of the Common Stock as reported by the NASDAQ National
Market System.
 
<TABLE>
<CAPTION>
                                                                         COMMON STOCK
                                                                      -------------------
                                                                       HIGH         LOW
                                                                      ------       ------
    <S>                                                               <C>          <C>
    1993
      First Quarter................................................   $    6       $3 5/8
      Second Quarter...............................................    8 3/4        5 1/2
      Third Quarter................................................   10 1/2        7 5/8
      Fourth Quarter...............................................   11 1/8        7 1/8
    1994
      First Quarter................................................    9 1/8        6 3/8
      Second Quarter...............................................        8        6 3/8
      Third Quarter................................................    8 3/8        6 1/4
      Fourth Quarter...............................................    7 5/8        5 1/4
    1995
      First Quarter................................................    6 1/2            5
      Second Quarter (through May 11th)............................    7 1/4        5 7/8
</TABLE>
 
     On May 11, 1995, the reported last sale price of the Common Stock, as
reported in the NASDAQ National Market System, was $6.75 per share. As of that
date, there were approximately 2,390 holders of record of Common Stock.
 
     The Company has not paid any cash dividends on the Common Stock since
becoming a publicly held corporation in October 1985 and does not anticipate
paying dividends on the Common Stock at any time in the foreseeable future. The
outstanding $1.50 Convertible Preferred Stock of the Company has priority as to
dividends over the Common Stock, and no dividend (other than dividends payable
solely in Common Stock) may be declared, paid or set apart for payment on the
Common Stock unless all accrued and unpaid dividends on the $1.50 Convertible
Preferred Stock have been paid or declared and set apart for payment.
 
                                       10
<PAGE>   12
 
                                 CAPITALIZATION
 
     The following table sets forth the consolidated capitalization of the
Company at March 31, 1995, and as adjusted to give effect to the assumed
conversion of all the outstanding $2.25 Preferred Shares into 11,192,474 shares
of Common Stock, net of certain expenses associated therewith.
 
<TABLE>
<CAPTION>
                                                                           MARCH 31, 1995
                                                                      ------------------------
                                                                                        AS
                                                                       ACTUAL        ADJUSTED
                                                                      ---------      ---------
                                                                           (IN THOUSANDS)
<S>                                                                   <C>            <C>
SHORT-TERM DEBT AND CURRENT INSTALLMENTS OF LONG TERM-DEBT.........   $   3,700      $   3,700
                                                                      =========      =========
LONG-TERM DEBT(1)
  U.S. Government Guaranteed Ship Financing Sinking Fund Bonds.....   $   1,546      $   1,546
  9 1/4% Senior Notes Due 2003.....................................     125,000        125,000
                                                                      ---------      ---------
          Total long-term debt.....................................     126,546        126,546
                                                                      ---------      ---------
SHAREHOLDERS' EQUITY(2)
  Preferred stock -- $1.00 par value; 15,000,000 shares authorized;
     2,065,238 shares of $2.25 Convertible Exchangeable Preferred
     Stock(3), actual, and none as adjusted, issued and
     outstanding; 4,025,000 shares of $1.50 Convertible Preferred
     Stock(4), actual and as adjusted, issued and outstanding......       6,090          4,025
  Common Stock -- $.10 par value; 200,000,000 shares authorized;
     83,188,121 shares issued and 83,149,621 shares outstanding,
     actual, and 94,380,595 shares issued and 94,342,095 shares
     outstanding, as adjusted......................................       8,319          9,438
  Capital in excess of par value(5)................................     588,699        588,613
  Minimum pension liability........................................      (3,825)        (3,825)
  Cumulative translation adjustment................................      (1,794)        (1,794)
  Unrealized losses on marketable securities.......................        (936)          (936)
  Accumulated deficit..............................................     (71,528)       (71,528)
  Treasury stock, at cost..........................................        (270)          (270)
                                                                      ---------      ---------
          Total shareholders' equity...............................     524,755        523,723
                                                                      ---------      ---------
TOTAL CAPITALIZATION...............................................   $ 651,301      $ 650,269
                                                                      =========      =========
</TABLE>
 
- ---------------
 
(1) At March 31, 1995, the Company had lines of credit totaling $26,000,000 and
    letter of credit facilities totaling $5,700,000, subject to the Company's
    maintenance of certain levels of collateral. Based on levels of collateral
    at March 31, 1995, the Company had $26,000,000 available under these lines
    of credit and $2,700,000 available to support the issuance of letters of
    credit.
 
(2) Excludes, as of March 31, 1995, shares reserved for issuance as follows: (i)
    2,966,997 shares of Common Stock under the Company's employee stock option
    plans, (ii) 325,000 shares of Common Stock under the Company's non-employee
    director stock option plan, (iii) 160,000 shares of Common Stock under
    certain non-employee director stock option agreements, (iv) 11,192,474
    shares of Common Stock upon conversion of the $2.25 Preferred Shares, which
    have been called for redemption on June 1, 1995, and (v) 9,839,515 shares of
    Common Stock upon conversion of the $1.50 Convertible Preferred Stock. In
    addition, the Company has reserved for issuance in connection with certain
    contingent obligations relating to the Triton acquisition up to 254,551
    shares of Common Stock.
 
(3) The outstanding $2.25 Convertible Exchangeable Preferred Stock has an
    aggregate liquidation preference of $51,630,950 and has been called for
    redemption by the Company on June 1, 1995.
 
(4) The $1.50 Convertible Preferred Stock has an aggregate liquidation
    preference of $100,625,000 and cannot be called for redemption prior to
    December 31, 1996.
 
(5) Under the Standby Agreement with the Purchaser, if any shares of $2.25
    Convertible Exchangeable Preferred Stock are redeemed, the Purchaser has
    agreed, subject to the terms of the Standby Agreement, to purchase from the
    Company the number of shares of Common Stock equal to the number of shares
    that would have been issued had the redeemed shares instead been converted,
    at a purchase price equal to the aggregate redemption price paid by the
    Company for the redeemed shares. Any such purchase will result in the
    payment by the Company of certain additional fees to the Purchaser. See
    "Standby Arrangements."
 
                                       11
<PAGE>   13
 
                            SELECTED FINANCIAL DATA
 
     The following selected financial data are derived from (i) the Company's
audited consolidated financial statements for the years ended December 31, 1994,
1993, and 1992 and (ii) the Company's unaudited consolidated financial
statements for the three-month periods ended March 31, 1995 and 1994. Such
financial data reflect (a) the merger of Chiles into a subsidiary of the Company
on September 15, 1994, (b) the Triton acquisition on April 22, 1994 and (c) the
acquisition by the Company of certain assets from The Western Company of North
America on October 7, 1993 (the "Western acquisition"). The Chiles merger is
accounted for as a "pooling of interests" which results in the historical
financial statements being restated for all periods presented. Each of the
Triton acquisition and the Western acquisition is accounted for as a "purchase"
transaction from the date of consummation thereof. The following summary
consolidated financial data should be read in conjunction with the financial
statements and notes thereto incorporated by reference in this Prospectus.
 
                                    COMPANY
 
<TABLE>
<CAPTION>
                                             THREE MONTHS
                                            ENDED MARCH 31,        YEAR ENDED DECEMBER 31,
                                          -------------------   ------------------------------
                                            1995       1994       1994       1993       1992
                                          --------   --------   --------   --------   --------
                                              (UNAUDITED)
<S>                                       <C>        <C>        <C>        <C>        <C>
                                                (IN THOUSANDS, EXCEPT PER SHARE AMOUNTS)
STATEMENT OF OPERATIONS DATA:
  Operating revenues....................  $ 85,096   $ 78,921   $351,988   $264,531   $184,166
  Operating income (loss)(1)............  $  2,013   $ 10,362   $ 18,163   $ 28,909   $(30,259)
  Net (loss) income.....................  $   (661)  $  8,121   $ 21,523   $ 22,852   $(43,350)
  Preferred stock dividends.............  $ (2,670)  $ (3,191)  $(12,764)  $ (7,936)  $ (6,728)
  Net (loss) income applicable to common
     shares.............................  $ (3,331)  $  4,930   $  8,759   $ 14,916   $(50,078)
  Net (loss) income applicable to common
     shares per share(2)(3).............  $  (0.06)  $   0.06   $   0.11   $   0.22   $  (1.05)
  Weighted average common shares
     outstanding........................    80,066     76,928     77,576     66,923     47,762
BALANCE SHEET DATA (AT END OF PERIOD):
  Working capital.......................  $152,107   $131,083   $157,885   $150,535   $ 42,993
  Total assets..........................  $731,618   $706,235   $739,889   $696,553   $456,529
  Long-term debt........................  $126,546   $127,138   $126,546   $127,144   $ 87,280
  Shareholders' equity..................  $524,755   $521,447   $527,611   $516,770   $301,634
</TABLE>
 
- ---------------
(1) Effective January 1, 1995, the Company revised its estimates of salvage
    values and remaining depreciable lives of certain refurbished rigs to better
    reflect their economic lives and to be more consistent with other similar
    assets owned by the Company. The effect of this change in estimates was a
    decrease in the net loss applicable to common shares for the three-month
    period ended March 31, 1995 of $1.1 million, or $0.01 per share. If the
    change in estimates had been made on January 1, 1994, net income applicable
    to common shares for the three-month period ended March 31, 1994 would have
    been increased by $800,000, or $0.01 per share.
 
(2) In March 1995, an aggregate of 923,862 shares of the $2.25 Preferred Shares
    were converted into 5,006,830 shares of Common Stock. The Company paid an
    aggregate of approximately $1.5 million in cash in connection with the
    conversion ("Preferred Conversion Payment"). The Preferred Conversion
    Payment was accounted for as a reduction of net earnings applicable to
    common shares for purposes of calculating the net loss applicable to common
    shares per common share. This accounting treatment increased the net loss
    applicable to common shares per share from $0.04 to $0.06 for the
    three-month period ended March 31, 1995.
 
(3) Net income applicable to common shares per share before extraordinary item
    was $0.20 for the year ended December 31, 1993. Loss applicable to common
    shares per share from discontinued operations was $(0.07) for the year ended
    December 31, 1992.
 
                                       12
<PAGE>   14
 
     The following selected unaudited pro forma consolidated financial data give
effect to the consummation of the Triton acquisition, which has been accounted
for as a purchase, as if the transaction had occurred on January 1, 1994. The
following unaudited pro forma statement of operations data do not purport to be
indicative of the results that would have actually been obtained if the
transaction had been in effect as of the date indicated or that might be
obtained in the future.
 
                     COMPANY (INCLUDING TRITON)(PRO FORMA)
 
<TABLE>
<CAPTION>
                                                                 YEAR ENDED DECEMBER 31, 1994
                                                      --------------------------------------------------
                                                           (IN THOUSANDS, EXCEPT PER SHARE AMOUNTS)
                                                           HISTORICAL
                                                      --------------------                     PRO FORMA
                                                        THE                    ACQUISITION        AS
                                                      COMPANY      TRITON(1)   ADJUSTMENTS     ADJUSTED
                                                      --------     -------     -----------     ---------
<S>                                                   <C>          <C>         <C>             <C>
OPERATING REVENUES
  Contract drilling services........................  $249,820     $    --       $    --       $ 249,820
  Labor contract drilling services..................    36,203          --            --          36,203
  Turnkey drilling services.........................    56,380      22,458            --          78,838
  Engineering and consulting services...............     3,796       1,536            --           5,332
  Other revenue.....................................     5,789       2,194           (53)(2)       7,930
                                                      --------     -------     -----------     ---------
                                                       351,988      26,188           (53)        378,123
                                                      --------     -------     -----------     ---------
OPERATING COSTS AND EXPENSES
  Contract drilling services........................   160,109          --            --         160,109
  Labor contract drilling services..................    28,355          --            --          28,355
  Turnkey drilling services.........................    46,886      18,989            --          65,875
  Engineering and consulting services...............     2,958         756            --           3,714
  Other expense.....................................     4,900       1,376            (2)(2)       6,274
  Selling, general and administrative...............    39,519       4,476        (1,070)(3)      42,925
  Depreciation and amortization.....................    47,606         236             9(4)       47,851
  Restructuring charges/asset write-downs...........     3,661          --            --           3,661
  Minority interest.................................      (169)        493            --             324
                                                      --------     -------     -----------     ---------
                                                       333,825      26,326        (1,063)        359,088
                                                      --------     -------     -----------     ---------
OPERATING INCOME (LOSS).............................    18,163        (138)        1,010          19,035
OTHER INCOME (EXPENSE)
  Interest expense..................................   (12,351)         --            --         (12,351)
  Interest income...................................     5,640         123            --           5,763
  Other, net........................................    15,743      (2,361)           51(2)       15,653
                                                                                   2,220(5)
                                                      --------     -------     -----------     ---------
INCOME BEFORE INCOME TAXES..........................    27,195      (2,376)        3,281          28,100
INCOME TAX PROVISION................................    (5,672)       (115)         (696)(6)      (6,483)
                                                      --------     -------     -----------     ---------
NET INCOME (LOSS)...................................    21,523      (2,491)        2,585          21,617
PREFERRED STOCK DIVIDENDS...........................   (12,764)         --            --         (12,764)
                                                      --------     -------     -----------     ---------
NET INCOME (LOSS) APPLICABLE TO COMMON SHARES.......  $  8,759     $(2,491)      $ 2,585       $   8,853
                                                      ========     =======     ==========      =========
NET INCOME APPLICABLE TO COMMON SHARES PER SHARE....  $   0.11                                 $    0.11
                                                      ========                                 =========
WEIGHTED AVERAGE COMMON SHARES OUTSTANDING..........    77,576                       188          77,764
</TABLE>
 
- ---------------
(1) This column represents the operating results for Triton for the first three
    months of 1994. The operating results of Triton from April 1 to April 22,
    1994 (the date of consummation of the Triton acquisition) are included under
    "The Company" column.
 
(2) To reclassify the operating results of Triton's oil and gas activities, as
    these activities are not an ongoing business line of the Company.
 
(3) To eliminate a nonrecurring stock option buyout effected by Triton in March
    1994 in connection with the Triton acquisition.
 
(4) To record amortization of $9,000 for goodwill associated with the Triton
acquisition.
 
(5) To eliminate the write-off of $2,220,000 of notes receivable from a
    partnership that was disposed of prior to the Triton acquisition.
 
(6) To record the incremental tax effect of the Triton acquisition adjustments.
 
                                       13
<PAGE>   15
 
                          DESCRIPTION OF CAPITAL STOCK
 
     The Company has 215,000,000 authorized shares of stock, consisting of (i)
200,000,000 shares of Common Stock and (ii) 15,000,000 shares of preferred stock
having a par value of $1.00 per share, of which two series have been heretofore
designated. As of May 1, 1995, there were outstanding 83,175,625 shares of
Common Stock, 2,065,238 shares of $2.25 Preferred Stock, and 4,025,000 shares of
$1.50 Convertible Preferred Stock ("$1.50 Convertible Preferred Stock"). In
addition, as of May 1, 1995, the Company had reserved for issuance (i) 2,949,497
shares of Common Stock under the Company's employee stock option plans, (ii)
325,000 shares of Common Stock under the Company's non-employee director stock
option plan, (iii) 160,000 shares of Common Stock under certain non-employee
director stock option agreements, (iv) 11,192,474 shares of Common Stock upon
conversion of the $2.25 Preferred Shares, which have been called for redemption
on June 1, 1995, and (v) 9,839,515 shares of Common Stock upon conversion of the
$1.50 Convertible Preferred Stock. In addition, the Company has reserved for
issuance in connection with certain contingent obligations relating to the
Triton acquisition up to 254,551 shares of Common Stock.
 
     The following summary description of the capital stock of the Company is
qualified in its entirety by reference to the Restated Certificate of
Incorporation of Noble Drilling, as amended (the "Certificate of
Incorporation"), a copy of which has been filed or incorporated by reference as
an exhibit to the Registration Statement. Unless otherwise specified, the
information contained in this Description of Capital Stock section assumes that
the redemption by the Company of the $2.25 Preferred Stock occurs on the
Redemption Date.
 
COMMON STOCK
 
     Holders of Common Stock are entitled to one vote per share on each matter
to be voted upon by the stockholders of the Company. Dividends may be paid to
the holders of Common Stock when, as and if declared by the Board of Directors
of Noble Drilling out of funds legally available for such purpose, subject to
any preferential cumulative dividend rights of any preferred stock of the
Company, including the $1.50 Convertible Preferred Stock, outstanding at the
time. Holders of Common Stock have no conversion, redemption, cumulative voting
or preemptive rights. In the event of any liquidation, dissolution or winding up
of the Company, after payment or provision for payment of the debts and other
liabilities of the Company and the preferential amounts to which the holders of
the $1.50 Convertible Preferred Stock, or any other series or class of the
Company's stock hereafter issued that ranks senior as to liquidation rights to
the Common Stock are entitled, the holders of Common Stock will be entitled to
share ratably in any remaining assets of the Company.
 
     All outstanding shares of Common Stock are, and the shares of Common Stock
to be issued upon conversion of the $2.25 Preferred Stock and the $1.50
Convertible Preferred Stock or upon issuance by the Company pursuant to the
Standby Agreement (see "Standby Arrangements") will be, when issued, duly and
validly issued, fully paid and nonassessable.
 
     The Common Stock is quoted in the NASDAQ National Market System under the
symbol "NDCO."
 
     The transfer agent and registrar for the Common Stock is Liberty Bank and
Trust Company of Oklahoma City, N.A.
 
$1.50 CONVERTIBLE PREFERRED STOCK
 
     The Board of Directors of the Company is authorized by the Certificate of
Incorporation to issue preferred stock in one or more series and to fix for each
such series such designation, voting powers, if any, preferences and relative,
participating, optional or other special rights, and such qualifications,
limitations and restrictions thereof, as are stated and adopted by resolution of
the Board without further stockholder approval. No shares of preferred stock
other than the $2.25 Preferred Stock, which has been called for redemption on
the Redemption Date, and the $1.50 Convertible Preferred Stock are currently
issued or outstanding.
 
                                       14
<PAGE>   16
 
     The holders of the $1.50 Convertible Preferred Stock have no preemptive
rights with respect to any shares of capital stock of the Company or any other
securities of the Company convertible into or carrying rights or options to
purchase any such shares. The $1.50 Convertible Preferred Stock is not subject
to any sinking fund or other obligation of the Company to redeem or retire the
$1.50 Convertible Preferred Stock.
 
     Ranking. The $1.50 Convertible Preferred Stock ranks senior to the Common
Stock with respect to the payment of dividends and upon liquidation, dissolution
or winding up of the Company.
 
     Dividends. Holders of the $1.50 Convertible Preferred Stock will be
entitled to receive, when, as and if declared by the Board of Directors of the
Company, out of funds at the time legally available therefor, annual cash
dividends at the rate of $1.50 per share, payable quarterly.
 
     If dividends are not paid in full, or declared in full and sums set apart
for the payment thereof, upon the $1.50 Convertible Preferred Stock and upon any
other capital stock ranking on a parity as to dividends with the $1.50
Convertible Preferred Stock, all dividends declared upon shares of $1.50
Convertible Preferred Stock and such other parity stock will be declared and
paid pro rata so that in all cases the amount of dividends declared per share on
the $1.50 Convertible Preferred Stock and such other parity stock will bear to
each other the same ratio that accrued and unpaid dividends per share on the
shares of $1.50 Convertible Preferred Stock and such other parity stock bear to
each other. Except as set forth above, unless full cumulative dividends on all
outstanding shares of the $1.50 Convertible Preferred Stock have been paid or
declared and sums set aside for the payment thereof, dividends (other than
dividends paid in Common Stock or other stock ranking junior to the $1.50
Convertible Preferred Stock as to dividends and upon liquidation, dissolution or
winding up) may not be declared or paid or set apart for payment, and other
distributions may not be made upon the Common Stock or on any other stock of the
Company ranking junior to the $1.50 Convertible Preferred Stock as to dividends,
or upon liquidation, dissolution or winding up, nor may any Common Stock or any
other stock of the Company ranking junior to or on a parity with the $1.50
Convertible Preferred Stock as to dividends or upon liquidation, dissolution or
winding up be redeemed, purchased or otherwise acquired for any consideration by
the Company (except by conversion into or exchange for stock of the Company
ranking junior to the $1.50 Convertible Preferred Stock as to dividends and upon
liquidation, dissolution or winding up).
 
     Liquidation Rights. In the event of any liquidation, dissolution or winding
up of the Company, whether voluntary or involuntary, the holders of shares of
$1.50 Convertible Preferred Stock will be entitled to receive out of the assets
of the Company available for distribution to stockholders the liquidation
preference of $25.00 per share plus an amount equal to all dividends (whether or
not earned or declared) accrued and unpaid to the payment date before any
payment or distribution of assets is made to holders of Common Stock or of any
other class of stock of the Company ranking junior to the $1.50 Convertible
Preferred Stock upon liquidation, dissolution or winding up. After payment of
the full amount of the liquidation preference to which they are entitled, the
holders of shares of $1.50 Convertible Preferred Stock will not be entitled to
any further participation in any distribution of assets by the Company.
 
     Conversion Rights. The holder of shares of the $1.50 Convertible Preferred
Stock has the right, at the holder's option, to convert any or all such shares
into Common Stock at any time at a rate (subject to adjustment in the case of
certain dilutive events) of 2.4446 shares of Common Stock for each share of
$1.50 Convertible Preferred Stock (equivalent to a conversion price of $10.23
per share of Common Stock).
 
     Right of Redemption of the Company. Shares of $1.50 Convertible Preferred
Stock are not redeemable prior to December 31, 1996. Shares of $1.50 Convertible
Preferred Stock are otherwise redeemable at the option of the Company, in whole
or in part, at any time or from time to time, out of funds legally available
therefor, on or after December 31, 1996, at the redemption prices per share of
$1.50 Convertible Preferred Stock set forth below during the 12-month periods
beginning on December 31 of the years shown below, plus in each case an amount
equal to accrued and unpaid dividends, if
 
                                       15
<PAGE>   17
 
any, to (and including) the Redemption Date, whether or not earned or declared
(the "Redemption Price").
<TABLE>
<CAPTION>
                                       PRICE
                                        PER
               YEAR                    SHARE
- -----------------------------------   -------
<S>                                   <C>
1996...............................   $ 26.05
1997...............................     25.90
1998...............................     25.75
1999...............................     25.60
 
<CAPTION>
                                       PRICE
                                        PER
               YEAR                    SHARE
- -----------------------------------   -------
<S>                                   <C>
2000...............................   $ 25.45
2001...............................     25.30
2002...............................     25.15
2003 and thereafter................     25.00
</TABLE>
 
     There is no mandatory redemption or sinking fund obligation with respect to
the $1.50 Convertible Preferred Stock. In the event that the Company has failed
to pay accrued and unpaid dividends on the $1.50 Convertible Preferred Stock, it
may not redeem less than all of the then outstanding shares of the $1.50
Convertible Preferred Stock until all such accrued and unpaid dividends and the
then current quarterly dividends have been paid in full.
 
     Voting Rights. The holders of the $1.50 Convertible Preferred Stock will
have no voting rights, except as described below or as required by law. In
exercising any such vote, each outstanding share of $1.50 Convertible Preferred
Stock will be entitled to one vote, excluding shares held by the Company or any
entity controlled by the Company, which shares shall have no voting rights.
 
     Whenever dividends on the $1.50 Convertible Preferred Stock have not been
paid in an aggregate amount equal to at least six quarterly dividends on such
shares (whether or not consecutive), the holders of the $1.50 Convertible
Preferred Stock (voting separately as a class with the holders of any stock
ranking on a parity as to dividends with the $1.50 Convertible Preferred Stock
on which like voting rights have been conferred and are exercisable) will be
entitled to elect two directors to the Board of Directors either by written
consent or at any meeting of stockholders of the Company at which directors are
to be elected held during the period such dividends remain in arrears. Such
voting rights will terminate when all such dividends accrued and in default have
been paid in full or declared and funds set apart for payment in full. The term
of office of all directors so elected will terminate immediately upon such
payment or setting apart for payment.
 
     In addition, without the affirmative vote or consent of the holders of at
least 66 2/3 percent of shares of the $1.50 Convertible Preferred Stock then
outstanding, voting separately as a class, the Company may not (i) authorize,
create, issue or increase the authorized number of shares of any class or
classes or series of stock, or any security convertible into stock of such class
or series, ranking prior to the $1.50 Convertible Preferred Stock either as to
dividends or upon liquidation, dissolution or winding up of the Company, (ii)
amend, alter or repeal (whether by merger, consolidation or otherwise) any of
the provisions of the Certificate of Incorporation (including the Certificate of
Designation) of the Company so as to affect adversely any right, preference,
privilege or voting power of the $1.50 Convertible Preferred Stock or the
holders thereof or (iii) authorize any reclassification of the $1.50 Convertible
Preferred Stock. Without the affirmative vote or consent of holders of at least
50 percent of the shares of $1.50 Convertible Preferred Stock then outstanding,
the Company may not increase the amount of authorized $1.50 Convertible
Preferred Stock or create additional classes of stock or issue series of capital
stock ranking on a parity with the $1.50 Convertible Preferred Stock with
respect to the payment of dividends or upon liquidation, dissolution and winding
up of the Company. However, the Company may increase the amount of authorized
preferred stock or create additional classes of stock or issue series of capital
stock ranking junior to the $1.50 Convertible Preferred Stock with respect to
the payment of dividends and upon liquidation, dissolution and winding up of the
Company without the consent of any holder of $1.50 Convertible Preferred Stock.
 
     Special Conversion Rights. The $1.50 Convertible Preferred Stock has a
special conversion right that becomes effective upon the occurrence of certain
types of significant transactions affecting ownership or control of the Company
or the market for the Common Stock. The purpose of the special conversion right
is to provide (subject to certain exceptions) partial loss protection upon the
occurrence
 
                                       16
<PAGE>   18
 
of a Change of Control or a Fundamental Change (each as defined) at a time when
the Market Value (as defined) of the Common Stock issuable upon conversion by a
holder at the prevailing conversion price is less than the amount to which the
holder would be entitled upon redemption. In such situations, the special
conversion right would, for a limited period, reduce the then prevailing
conversion price to the higher of the Market Value of the Common Stock or a
minimum conversion price of $6.53 per share of Common Stock, subject to certain
adjustments (and increase the equivalent conversion ratio accordingly).
Consequently, to the extent that the Market Value of the Common Stock is less
than the minimum conversion price, a holder will have a lesser degree of
protection from loss upon exercise of a special conversion right.
 
     The $1.50 Convertible Preferred Stock is traded through the NASDAQ National
Market System under the symbol "NDCOO." The transfer agent, conversion agent and
registrar for the $1.50 Convertible Preferred Stock is Liberty Bank and Trust
Company of Oklahoma City, N.A.
 
RESTRICTIONS ON DIVIDENDS
 
     Senior Note Indenture. Certain provisions of the indenture (the "Senior
Note Indenture") governing the Company's outstanding 9 1/4% Senior Notes Due
2003 (the "Senior Notes") restrict the Company's ability to pay cash dividends
on Common Stock and $1.50 Convertible Preferred Stock. Under the Senior Note
Indenture, the Company may not make certain Restricted Payments (as defined in
the Senior Note Indenture), including dividends and other payments with respect
to Common Stock and $1.50 Convertible Preferred Stock, if (i) a default under
the Senior Note Indenture is continuing or would result from such Restricted
Payment; (ii) for the 12-month period ending on the last day of the Company's
most recently completed fiscal quarter, the Company's Consolidated Interest
Coverage Ratio (as defined in the Senior Note Indenture) was less than (A)
2.0:1, for any such payment occurring on or prior to December 31, 1995, or (B)
2.5:1, for any such payment occurring on or after January 1, 1996; or (iii)
after giving effect to such Restricted Payment, the aggregate amount of all
Restricted Payments since October 7, 1993, the date of issuance of the Senior
Notes, exceeds the sum (such sum, the "Restricted Payment Basket") of (A) 50
percent of the Aggregate Consolidated Net Income (as defined in the Senior Note
Indenture) of the Company (or if such consolidated net income is a deficit,
minus 100 percent of such deficit) accrued during the period beginning on
October 1, 1993 and ending on the last day of the fiscal quarter ending
immediately prior to the date of such proposed Restricted Payment; (B) the
aggregate net cash proceeds received by the Company from the issuance or sale of
certain capital stock of the Company subsequent to October 7, 1993 and the
liability (expressed as a positive number) of any indebtedness of the Company,
or the carrying value of any redeemable stock of the Company (including the
$2.25 Preferred Stock), which has been converted into shares of Common Stock
subsequent to October 7, 1993; and (C) $10,000,000.
 
     The payment of dividends on the $1.50 Convertible Preferred Stock
constitutes Restricted Payments for all purposes of the Senior Note Indenture
and, accordingly, is subject to the Restricted Payment Basket. To the extent
that the payment of dividends on Common Stock, if any were to be made, or the
payment of accrued dividends on the $1.50 Convertible Preferred Stock would
result in the aggregate amount of all Restricted Payments made by the Company
exceeding the Restricted Payment Basket, and during such times that the
aggregate amount of all Restricted Payments exceeds the Restricted Payment
Basket, such dividend payments on Common Stock and $1.50 Convertible Preferred
Stock will be prohibited under the provisions of the Senior Note Indenture.
 
     As of March 31, 1995, the Company's Consolidated Interest Coverage Ratio
was 3.28:1 and the amount of the Restricted Payment Basket was $39.1 million. As
of that same date, the Company had made aggregate Restricted Payments
(consisting of regular dividends on the $2.25 Preferred Stock and $1.50
Convertible Preferred Stock and the Preferred Conversion Payment) since October
7, 1993 of $14.4 million, leaving $24.7 million of the Restricted Payment Basket
available, as of March 31, 1995, for Restricted Payments. Annual dividends on
the currently outstanding shares of $1.50 Convertible Preferred Stock total
$6,037,500.
 
                                       17
<PAGE>   19
 
     Giving effect to an assumed full conversion on May 31, 1995 of the $2.25
Preferred Shares, and assuming (i) the amount of the Restricted Payment Basket
remains unchanged from the date of this Prospectus through June 2, 1995 (the
next succeeding business day after the Redemption Date) and (ii) no Restricted
Payments are made during such period other than regular cash dividends on the
$1.50 Convertible Preferred Stock, the amount of the Restricted Payment Basket
available for Restricted Payments as of June 2, 1995 would be $73.6 million.
 
     Credit Agreement. On June 16, 1994, the Company entered into a credit
agreement (the "Credit Agreement") with two banks providing for a $25 million
revolving line of credit. Certain provisions of the Credit Agreement restrict
the Company's ability to pay cash dividends on Common Stock and $1.50
Convertible Preferred Stock. Under the Credit Agreement, the Company may not
make certain Restricted Payments (as defined in the Credit Agreement), including
dividends and other payments with respect to Common Stock and $1.50 Convertible
Preferred Stock, if (i) a default under the Credit Agreement is continuing or
would result from such Restricted Payment; (ii) the Company's tangible net worth
is less than the sum of (A) $280,000,000, plus (B) 50 percent of any positive
net income of the Company computed on a cumulative basis for the period
beginning April 30, 1994 and ending on the last day of the fiscal quarter
immediately preceding the date of any determination, with no negative adjustment
to be made in the event net income is a deficit figure for any fiscal period,
plus (C) 85 percent of the aggregate amount of net non-cash proceeds, and 100
percent of net cash proceeds, to the Company from the issuance or sale after
April 30, 1994, and determined as of the last day of each fiscal quarter
subsequent to March 31, 1994, of (x) shares of Common Stock or warrants, rights
or options to purchase or acquire Common Stock and (y) shares of preferred stock
of the Company, provided that such 85 percent rate will increase to 100 percent
at such time as the aggregate of all net non-cash proceeds from the sale by the
Company of Common Stock, or warrants, rights or options to purchase or acquire
Common Stock, exceeds $300,000,000; or (iii) the Company's debt to capital ratio
exceeds 0.35:1.
 
     As of March 31, 1995, the Company's tangible net worth was approximately
$519.5 million, and the minimum tangible net worth required under the provisions
of the Credit Agreement to allow Restricted Payments, calculated as set forth in
the Credit Agreement and as generally described above, was $445.3 million. As of
March 31, 1995, the Company's debt to capital ratio was 0.20:1.
 
FOREIGN OWNERSHIP
 
     The Certificate of Incorporation contains provisions that limit foreign
ownership of the stock of the Company. These provisions are to protect the
ability of the Company to continue to own its mobile offshore drilling units as
U.S. flag vessels and to comply with covenants of the Company to maintain U.S.
citizenship (as defined) that are contained in certain financing agreements.
 
     In order to continue to enjoy the benefits of U.S. flag registry for its
vessels, the Company must maintain "United States citizenship" as defined in the
Shipping Act, 1916, as amended (the "Shipping Act"). A corporation is not
considered a U.S. citizen for these purposes unless, among other things, the
controlling interest therein (a majority in the case of non-coastwise trade) is
owned by U.S. citizens. Under regulations adopted by the U.S. Maritime
Administration to implement the citizenship requirements, the "controlling
interest" test is applied to each class of stock of the Company. The Common
Stock and the Company's preferred stock (combining all series of preferred
stock) are considered to be separate classes of stock for this purpose.
 
     Under the provisions of the Certificate of Incorporation, (i) any transfer,
or attempted or purported transfer, of any shares of stock of the Company that
would result in the ownership or control by one or more persons who is not a
U.S. citizen for purposes of the Shipping Act of an aggregate percentage of the
shares of any class of stock in excess of a fixed percentage (the "Permitted
Percentage") that is equal to 90 percent of the percentage that would prevent
the Company from being a U.S. citizen (currently 50 percent) for purposes of the
Shipping Act, will, for so long as such excess shall exist, be void and
ineffective as against the Company, and (ii) if at any time ownership of shares
of stock of the
 
                                       18
<PAGE>   20
 
Company (either of record or beneficial) by persons other than U.S. citizens
exceeds the Permitted Percentage, the Company may withhold payment of dividends
on such shares determined to be in excess of the Permitted Percentage and may
suspend voting rights attributable to such shares. The shares subject to any
such withholding of dividends or suspension of voting rights would be those
foreign-owned shares that the Board of Directors of the Company determines
became so owned most recently. The Permitted Percentage is currently 45 percent.
 
     The certificates representing the shares of Common Stock will bear a legend
concerning the restrictions on ownership by persons other than U.S. citizens.
The Company has instructed its transfer agent for the Common Stock to attempt to
ensure the applicable transfer instructions are enforced.
 
CERTAIN CORPORATE GOVERNANCE PROVISIONS
 
     Stockholder Consent Action Prohibited. The Certificate of Incorporation and
Bylaws of the Company require that, subject to the possible rights of the
holders of any class or series of stock having a preference over the Common
Stock as to dividends or upon liquidation, stockholder action be taken only at
an annual meeting or at a special meeting of stockholders called by the Chairman
of the Board or the President of the Company or by a majority of the entire
Board of Directors of the Company, and prohibit stockholder action by written
consent in lieu of a meeting. Stockholders are not permitted to call a special
meeting of stockholders or to require that the Board of Directors of the Company
call such a special meeting.
 
     Classified Board and Other Provisions. The Certificate of Incorporation and
Bylaws of the Company provide that, subject to the possible rights of the
holders of any class or series of stock having a preference over the Common
Stock as to dividends or upon liquidation, the Board of Directors of the Company
will be composed of not less than three directors, with the exact number of
directors fixed from time to time by resolution adopted by vote of a majority of
the entire Board of Directors, and is divided into three classes of directors,
each class to be as nearly equal in number as possible. The term of office of
one class of directors expires each year in rotation so that one class is
elected at each annual meeting of stockholders for a full three-year term.
 
     The Certificate of Incorporation and Bylaws of the Company provide that a
director may be removed only for cause as defined in the Certificate of
Incorporation, and only by the affirmative vote of the holders of a majority of
the combined voting power of the capital stock of the Company entitled to vote
generally in the election of directors ("Voting Stock").
 
     The Certificate of Incorporation provides that, subject to the possible
rights of the holders of any class or series of stock having a preference over
the Common Stock as to dividends or upon liquidation, a vacancy on the Board
resulting from any increase in the number of directors may be filled by the
Board or in the manner provided in the Bylaws of the Company, that any other
vacancy shall be filled only by an affirmative vote of a majority of directors
remaining in office, even though less than a quorum, and that the newly-elected
director shall serve for the unexpired term of his predecessor in office. The
Bylaws provide that if any vacancy resulting from an increase in the number of
directors is not filled by the remaining directors it will be filled by the
stockholders of the Company at the next annual meeting or at a special meeting
of stockholders called for that purpose.
 
     An anti-takeover effect is accomplished by these provisions in that they
tend to preclude a third party from removing incumbent directors and
simultaneously gaining control of the Board by filling the vacancies created by
removal with its own nominees unless such third party controls at least 80
percent of the combined voting power of the Voting Stock (the ownership level
required to amend the Certificate Incorporation and Bylaws in this respect).
Under these provisions, together with the classified board provisions described
above, it would take at least two elections of directors for any individual or
group to gain control of the Board.
 
     Fair Price Provision. The affirmative vote of the holders of at least 80
percent of the combined voting power of the Voting Stock is required to approve
certain Business Combinations (as such term is defined
 
                                       19
<PAGE>   21
 
in the Certificate of Incorporation). The transactions included in the
definition of Business Combination are those between the Company and an
Interested Stockholder (as defined below) or, in certain instances, proposed by
an Interested Stockholder and include: (a) a merger or consolidation of the
Company, or any subsidiary having assets of $1,000,000 or more, with any
Interested Stockholder or with any other corporation or entity that is, or after
such merger or consolidation would be, an affiliate or associate of an
Interested Stockholder; (b) the sale or other disposition by the Company, or a
subsidiary, of assets of $1,000,000 or more if an Interested Stockholder (or an
affiliate or associate thereof) is a party to the transaction; (c) the issuance
or transfer of any securities of the Company, or a subsidiary, to an Interested
Stockholder (or an affiliate or associate thereof) in exchange for cash,
securities or other property (or a combination thereof) of $1,000,000 or more;
(d) the adoption of any plan or proposal for the liquidation or dissolution of
the Company proposed by or on behalf of an Interested Stockholder (or an
affiliate or associate thereof); (e) any reclassification of securities,
recapitalization, merger with a subsidiary or other transaction that has the
effect, directly or indirectly, of increasing the proportionate share of the
outstanding shares (or securities convertible into shares) of any class or
series of stock of the Company or a subsidiary owned by an Interested
Stockholder (or an affiliate or associate thereof); (f) any series or
combination of transactions directly or indirectly having the same effect as any
of the foregoing; or (g) any contract, agreement or other arrangement providing
directly or indirectly for any of the foregoing. An "Interested Stockholder" is
defined in the Certificate of Incorporation to include a beneficial owner of
five percent or more of the combined voting power of the Voting Stock, other
than the Company, and any affiliate of the Company who, at any time during the
preceding two years, was the beneficial owner of five percent or more of the
combined voting power of the Voting Stock and includes any person who is an
assignee of or has succeeded to any shares of Voting Stock in a transaction not
involving a public offering which were at any time within the prior two-year
period beneficially owned by an Interested Stockholder. The term "beneficial
owner" includes persons directly and indirectly owning or having the right to
acquire or vote the stock in question.
 
     The provisions of the Certificate of Incorporation of the Company described
in the preceding paragraph may have the effect of delaying, deterring or
preventing a change in control of the Company. The special vote requirement of
such provisions may be waived if the Business Combination is duly approved by a
majority of the Disinterested Directors (as such term is defined in the
Certificate of Incorporation) or if certain minimum price criteria and
procedural requirements are met. There is no requirement that a Business
Combination duly approved by the Disinterested Directors meet any minimum price
criteria or procedural requirements.
 
     Alteration or Amendment. The approval of the holders of 80 percent or more
of the combined voting power of the Voting Stock is required for the alteration,
amendment or repeal of, or the adoption of any provision inconsistent with, the
foregoing corporate governance provisions as stated in the Certificate of
Incorporation. In addition, the affirmative vote of a majority of the entire
Board may authorize the alteration, amendment or repeal of the Bylaws of the
Company.
 
     Elimination of Certain Director Liability; Indemnification. The Certificate
of Incorporation contains an article, which was approved by stockholders at the
1987 annual meeting of stockholders, that eliminates the personal liability of
the Company's directors for monetary damages resulting from breaches of their
fiduciary duty, to the extent permitted by the General Corporation Law of the
State of Delaware ("DGCL"). This article eliminates the liability of each
director to the Company or its stockholders for all claims for negligence or
gross negligence in the performance of his duties other than the duty of
loyalty. Directors remain liable to the Company and its stockholders for
breaches of their duty of loyalty, as well as for acts or omissions not in good
faith or which involve intentional misconduct or a knowing violation of law, and
for transactions from which a director derives improper personal benefit. The
article does not limit the liability of directors under Section 174 of the DGCL,
which makes directors personally liable for unlawful dividends or unlawful stock
repurchases or redemptions and expressly sets forth a negligence standard with
respect to such liability.
 
                                       20
<PAGE>   22
 
     The Certificate of Incorporation and the Bylaws of the Company contain
provisions providing for the indemnification of the Company's directors and
officers to the fullest extent permitted by Section 145 of the DGCL, including
in circumstances in which indemnification is otherwise discretionary.
 
     The Company believes that these provisions are necessary to attract and
retain qualified persons as directors and officers.
 
     The Delaware Business Combination Act. The Company is covered by Section
203 of the DGCL which provides that a corporation shall not engage in any
business combination with an "interested stockholder" for a period of three
years following the date that such stockholder became an interested stockholder
unless: (1) prior to such date, the board of directors of the corporation
approved either the business combination or the transaction that resulted in the
stockholder becoming an interested stockholder, (2) upon consummation of such
transaction, the interested stockholder owned at least 85 percent of the voting
stock of the corporation outstanding at the time (excluding, from the
calculation of outstanding shares, shares beneficially owned by management,
directors and certain employee stock plans), or (3) on or after such date, the
business combination is (i) approved by the board of directors and (ii)
authorized at a meeting of stockholders by the affirmative vote of the holders
of at least two-thirds of the outstanding voting stock other than the
interested stockholder.
 
                                       21
<PAGE>   23
 
                              STANDBY ARRANGEMENTS
 
     Upon the terms and subject to the conditions contained in the Standby
Agreement dated May 12, 1995 between the Company and the Purchaser (the "Standby
Agreement"), the Purchaser has agreed to purchase, at a flat price of $27.10 per
$2.25 Preferred Share, all $2.25 Preferred Shares properly tendered to it or to
Liberty Bank and Trust Company of Oklahoma City, N.A., as Paying Agent, prior to
5:00 p.m., Central Daylight Savings Time, on the Final Conversion Date. The
Purchaser may also purchase $2.25 Preferred Shares in the open market or
otherwise. The Purchaser has agreed with the Company to convert all $2.25
Preferred Shares so purchased or otherwise acquired by the Purchaser into Common
Stock (the "Conversion Shares"). The Conversion Shares issued to the Purchaser
upon the conversion of $2.25 Preferred Shares purchased by the Purchaser
pursuant to the third preceding sentence are referred to as the "Tendered
Shares." In the event that less than all of the $2.25 Preferred Shares are
surrendered for conversion prior to 5:00 p.m., Central Daylight Savings Time, on
the Final Conversion Date, the Purchaser has agreed to purchase from the Company
such number of shares (the "Purchased Shares") of Common Stock as would have
been issuable upon conversion of such of the $2.25 Preferred Shares as are not
surrendered for conversion prior to 5:00 p.m., Central Daylight Savings Time, on
the Final Conversion Date. The price to the Purchaser of the Purchased Shares
will be $4.97397 per share.
 
     The Purchaser has agreed to pay to the Company 50 percent of the excess, if
any, of the aggregate proceeds received on the sale of the Tendered Shares and
the Purchased Shares (net of selling concessions, transfer taxes and other
directly related expenses) over $4.97397.
 
     The Company has been advised by the Purchaser that it proposes to offer for
resale any shares of Common Stock purchased from the Company or acquired upon
conversion as set forth on the cover page of this Prospectus. The Purchaser may
also make sales of such shares to certain securities dealers at prices that may
reflect concessions from the prices at which such shares are then being offered
to the public. The amount of such concessions will be determined from time to
time by the Purchaser.
 
     Under the terms of the Standby Agreement and as compensation for the
commitment of the Purchaser thereunder, the Company has agreed to pay the
Purchaser the sum of $556,711, plus an additional sum for certain Compensable
Shares (as defined below). The additional sum will be paid as follows: (i) no
additional sum will be paid if the total number of Compensable Shares is less
than or equal to 560,000 and (ii) if the total number of Compensable Shares is
greater than 560,000, the additional sum will equal $0.20 per share for all
Compensable Shares plus $0.0265 per share for all Tendered Shares. Compensable
Shares consist of all Conversion Shares (other than any Tendered Shares) that
are resold by the Purchaser for less than $4.97397 per share plus all Purchased
Shares and all Tendered Shares. The Company has also agreed to pay the
reasonable out-of-pocket expenses of the Purchaser, including the fees and
disbursements of Purchaser's counsel, and to pay Blue Sky fees and expenses.
 
     Pursuant to the Standby Agreement, the Company has agreed that it will not,
without the written consent of the Purchaser, sell, contract to sell, or
otherwise dispose of any shares of Common Stock, with certain exceptions, for a
period commencing on the date of this Prospectus and ending 90 days after the
Redemption Date, provided that if the Purchaser does not acquire any Purchased
Shares pursuant to the Standby Agreement, the Company will no longer be bound by
such restriction.
 
     The Company has agreed to indemnify the Purchaser against certain
liabilities, including liabilities under the Securities Act.
 
     The Purchaser has performed investment banking services for the Company
from time to time in the ordinary course of its business.
 
     Prior to the date hereof, the Company entered into individually-negotiated
arrangements with certain holders of $2.25 Preferred Shares, including the
Purchaser, whereby such holders converted their $2.25 Preferred Shares into
Common Stock. Pursuant to such arrangements, the Purchaser was paid
 
                                       22
<PAGE>   24
 
$583,085.25 on March 10, 1995, in connection with its conversion of the shares
of $2.25 Preferred Shares held by it.
 
     As of May 11, 1995, the Purchaser owned 10,000 $2.25 Preferred Shares.
 
                                 LEGAL OPINIONS
 
     The validity of the shares of Common Stock offered hereby will be passed
upon for the Company by Thompson & Knight, P.C., Dallas, Texas, and certain
legal matters will be passed on for the Purchaser by Cravath, Swaine & Moore,
New York, New York.
 
                                    EXPERTS
 
     The financial statements incorporated in this Prospectus by reference to
the Annual Report on Form 10-K for the year ended December 31, 1994 have been so
incorporated in reliance on the report of Price Waterhouse LLP, independent
accountants, given on the authority of said firm as experts in auditing and
accounting.
 
     The 1993 and 1992 consolidated financial statements of the Company
incorporated by reference in this Prospectus have been audited by Arthur
Andersen LLP, independent public accountants, as indicated in their report with
respect thereto, and are so incorporated herein in reliance upon the authority
of said firm as experts in giving said report.
 
                                       23
<PAGE>   25
 
NO DEALER, SALESPERSON OR ANY OTHER PERSON HAS BEEN AUTHORIZED TO GIVE ANY
INFORMATION OR TO MAKE ANY REPRESENTATIONS OTHER THAN THOSE CONTAINED IN OR
INCORPORATED BY REFERENCE IN THIS PROSPECTUS IN CONNECTION WITH THE OFFER MADE
BY THIS PROSPECTUS AND, IF GIVEN OR MADE, SUCH INFORMATION OR REPRESENTATIONS
MUST NOT BE RELIED UPON AS HAVING BEEN AUTHORIZED BY THE COMPANY OR THE
PURCHASER. NEITHER THE DELIVERY OF THIS PROSPECTUS NOR ANY SALE MADE HEREUNDER
SHALL, UNDER ANY CIRCUMSTANCES, CREATE ANY IMPLICATION THAT THERE HAS BEEN NO
CHANGE IN THE AFFAIRS OF THE COMPANY SINCE THE DATE HEREOF. THIS PROSPECTUS
DOES NOT CONSTITUTE AN OFFER OR SOLICITATION BY ANYONE IN ANY JURISDICTION IN
WHICH SUCH OFFER OR SOLICITATION IS NOT AUTHORIZED OR IN WHICH THE PERSON
MAKING SUCH OFFER OR SOLICITATION IS NOT QUALIFIED TO DO SO OR TO ANY PERSON TO
WHOM IT IS UNLAWFUL TO MAKE SUCH OFFER OR SOLICITATION.
 
                             ---------------------
 
                               TABLE OF CONTENTS
 
<TABLE>
<CAPTION>
                                       PAGE
                                       ----
<S>                                    <C>
Available Information................    2
Incorporation of Certain Documents by
  Reference..........................    2
The Company..........................    4
Investment Considerations............    5
Use of Proceeds......................   10
Price Range of Common Stock and
  Dividend Policy....................   10
Capitalization.......................   11
Selected Financial Data..............   12
Description of Capital Stock.........   14
Standby Arrangements.................   22
Legal Opinions.......................   23
Experts..............................   23
</TABLE>
 
11,192,474 SHARES
 
NOBLE DRILLING
CORPORATION
 
COMMON STOCK
($.10 PAR VALUE)
 
                                    [LOGO]

- ----------------------
SALOMON BROTHERS INC
- --------------------------------------------------------------------------------
 
PROSPECTUS
 
DATED MAY 12, 1995
<PAGE>   26
 
                                    PART II
 
                     INFORMATION NOT REQUIRED IN PROSPECTUS
 
ITEM 14. OTHER EXPENSES OF ISSUANCE AND DISTRIBUTION.
 
     Except for the SEC registration fee and the NASDAQ fee, all expenses are
estimated. All such expenses will be paid by the Registrant.
 
<TABLE>
    <S>                                                                         <C>
    SEC registration fee.....................................................   $  26,052
    NASDAQ fee...............................................................      17,500
    Accounting fees and expenses.............................................     124,000
    Legal fees and expenses..................................................     190,000
    Printing expenses........................................................      35,000
    Blue sky fees and expenses (including legal fees)........................       8,000
    Transfer agency fees and expenses........................................       2,500
    Miscellaneous............................................................      71,948
                                                                                ---------
              Total..........................................................   $ 475,000
                                                                                =========
</TABLE>
 
ITEM 15. INDEMNIFICATION OF DIRECTORS AND OFFICERS.
 
     The Registrant is a Delaware corporation. Under Section 145 of the General
Corporation Law of the State of Delaware, the Registrant has the power to
indemnify its directors and officers, subject to certain limitations.
 
     Reference is made to Article VI of the Bylaws of the Registrant, which
Article is filed as part of Exhibit 4.7 hereto and provides for indemnification
of directors and officers of the Registrant under certain circumstances.
 
     Reference is made to Section 8 of the form of Standby Agreement filed as
Exhibit 1.1 hereto for provisions relating to the indemnification of directors,
officers and controlling persons of the Registrant against certain liabilities,
including liabilities under the Securities Act of 1933.
 
     Pursuant to the General Corporation Law of the State of Delaware, the
Certificate of Incorporation of the Registrant, filed as Exhibits 4.1 through
4.6 hereto, limits the personal liability of the directors of the Registrant to
the Registrant or its stockholders for monetary damages for breach of fiduciary
duty under certain circumstances.
 
     The Registrant also maintains insurance to protect itself and its
directors, officers, employees and agents against expenses, liabilities and
losses incurred by such persons in connection with their service in the
foregoing capacities.
 
     The foregoing summaries are necessarily subject to the complete text of the
statute, bylaw, agreement, restated certificate of incorporation and insurance
policy referred to above and are qualified in their entirety by reference
thereto.
 
                                      II-1
<PAGE>   27
 
ITEM 16. EXHIBITS.
 
     The following exhibits are filed as part of this Registration Statement:
 
<TABLE>
<CAPTION>
       NUMBER                                        EXHIBIT
- -------------------  ------------------------------------------------------------------------
<C>                  <S>
         1.1         -- Form of Standby Agreement.
         4.1         -- Restated Certificate of Incorporation of the Registrant dated August
                        29, 1985 (filed as Exhibit 3.7 to the Registrant's Registration
                        Statement on Form 10 (No. 0-13857) and incorporated herein by
                        reference).
         4.2         -- Certificate of Amendment of Restated Certificate of Incorporation of
                        the Registrant dated May 5, 1987 (filed as Exhibit 4.2 to the
                        Registrant's Registration Statement on Form S-3 (No. 33-67130) and
                        incorporated herein by reference).
         4.3         -- Certificate of Amendment of Certificate of Incorporation of the
                        Registrant dated August 1, 1991 (filed as Exhibit 3.16 to the
                        Registrant's Annual Report on Form 10-K for the year ended December
                        31, 1991 and incorporated herein by reference).
         4.4         -- Certificate of Designations of $2.25 Convertible Exchangeable
                        Preferred Stock, par value $1.00 per share, of the Registrant, dated as
                        of November 18, 1991 (filed as Exhibit 3.17 to the Registrant's
                        Annual Report on Form 10-K for the year ended December 31, 1991 and
                        incorporated herein by reference.)
         4.5         -- Certificate of Designations of $1.50 Convertible Preferred Stock, par
                        value $1.00 per share, of the Registrant, dated as of September 15, 1994
                        (filed as Exhibit 3.8 to the Registrant's Annual Report on Form 10-K
                        for the year ended December 31, 1994 and incorporated herein by
                        reference).
         4.6         -- Certificate of Amendment of Certificate of Incorporation of the
                        Registrant dated September 15, 1994 (filed as Exhibit 3.1 to the
                        Registrant's Quarterly Report on Form 10-Q for the three-month period
                        ended March 31, 1995 and incorporated herein by reference).
         4.7         -- Composite copy of the Bylaws of the Registrant as currently in effect
                        (filed as Exhibit 4.8 to the Registrant's Registration Statement on Form
                        S-3 (No. 33-67130) and incorporated herein by reference).
         5.1         -- Opinion of Thompson & Knight, P.C.
        23.1         -- Consent of Price Waterhouse LLP.
        23.2         -- Consent of Arthur Andersen LLP.
        23.4         -- Consent of Thompson & Knight, P.C. (contained in its opinion filed as
                        Exhibit 5.1).
        24.1         -- Power of attorney (included on the signature page of this
                        Registration Statement).
</TABLE>
 
ITEM 17. UNDERTAKINGS.
 
     (a) Rule 415 offering.
 
     The Registrant hereby undertakes:
 
          (1) To file, during any period in which offers or sales are being
     made, a post-effective amendment to this Registration Statement:
 
             (i) To include any prospectus required by Section 10(a)(3) of the
        Securities Act of 1933;
 
             (ii) To reflect in the prospectus any facts or events arising after
        the effective date of this Registration Statement (or the most recent
        post-effective amendment thereof) which, individually or in the
        aggregate, represent a fundamental change in the information set forth
        in this Registration Statement; and
 
                                      II-2
<PAGE>   28
 
             (iii) To include any material information with respect to the plan
        of distribution not previously disclosed in this Registration Statement
        or any material change to such information in this Registration
        Statement;
 
     Provided, however, that paragraphs (a)(1)(i) and (a)(1)(ii) shall not apply
     if the information required to be included in a post-effective amendment by
     those paragraphs is contained in periodic reports filed by the Registrant
     pursuant to Section 13 or Section 15(d) of the Securities Exchange Act of
     1934 that are incorporated by reference in this Registration Statement.
 
          (2) That, for the purpose of determining any liability under the
     Securities Act of 1933, each such post-effective amendment shall be deemed
     to be a new registration statement relating to the securities offered
     therein, and the offering of such securities at that time shall be deemed
     to be the initial bona fide offering thereof.
 
          (3) To remove from registration by means of a post-effective amendment
     any of the securities being registered which remain unsold at the
     termination of the offering.
 
     (b) Filings incorporating subsequent Exchange Act documents by reference.
 
     The undersigned Registrant hereby undertakes that, for purposes of
determining any liability under the Securities Act of 1933, each filing of the
Registrant's Annual Report pursuant to Section 13(a) or Section 15(d) of the
Securities Exchange Act of 1934 that is incorporated by reference in the
Registration Statement shall be deemed to be a new registration statement
relating to the securities offered therein, and the offering of such securities
at that time shall be deemed to be the initial bona fide offering thereof.
 
     (h) Request for acceleration of effective date or filing of registration
statement on Form S-8.
 
     Insofar as indemnification for liabilities arising under the Securities Act
of 1933 may be permitted to directors, officers and controlling persons of the
Registrant pursuant to the foregoing provisions, or otherwise, the Registrant
has been advised that in the opinion of the Securities and Exchange Commission
such indemnification is against public policy as expressed in the Act and is,
therefore, unenforceable. In the event that a claim for indemnification against
such liabilities (other than the payment by the Registrant of expenses incurred
or paid by a director, officer or controlling person of the Registrant in the
successful defense of any action, suit or proceeding) is asserted by such
director, officer or controlling person in connection with the securities being
registered, the Registrant will, unless in the opinion of its counsel the matter
has been settled by controlling precedent, submit to a court of appropriate
jurisdiction the question whether such indemnification by it is against public
policy as expressed in the Act and will be governed by the final adjudication of
such issue.
 
                                      II-3
<PAGE>   29
 
                                   SIGNATURES
 
     Pursuant to the requirements of the Securities Act of 1933, the Registrant
certifies that it has reasonable grounds to believe that it meets all of the
requirements for filing on Form S-3 and has duly caused this Registration
Statement to be signed on its behalf by the undersigned, thereunto duly
authorized, in the City of Houston, State of Texas, on the 11th day of May,
1995.
 
                                          NOBLE DRILLING CORPORATION
 
                                          By       /s/  JAMES C. DAY
                                             ----------------------------------
                                                        James C. Day
                                               Chairman, President and Chief
                                                      Executive Officer
 
     Pursuant to the requirements of the Securities Act of 1933, this
Registration Statement has been signed by the following persons in the
capacities and on the dates indicated. Each person whose signature appears below
constitutes and appoints James C. Day and Byron L. Welliver, and each of them
(with full power to each of them to act alone), his true and lawful
attorney-in-fact and agent, with full power of substitution and resubstitution,
for him and in his name, place and stead, in any and all capacities to sign on
his behalf individually and in each capacity stated below any amendment,
including post-effective amendments, to this Registration Statement, and to file
the same, with all exhibits thereto and other documents in connection therewith
with the Securities and Exchange Commission, granting unto said
attorneys-in-fact and agents, and each of them, full power and authority to do
and perform each and every act and thing requisite and necessary to be done in
and about the premises, as fully to all intents and purposes as he might or
could do in person, hereby ratifying and confirming all that said
attorneys-in-fact and agents and either of them, or their substitutes, may
lawfully do or cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                  SIGNATURE                               TITLE                      DATE
                  ---------                               -----                      ----
                                                               
<S>                                            <C>                             <C>
           /s/  JAMES C. DAY                   Chairman, President and              May 11, 1995
- ---------------------------------------------    Chief Executive Officer
                James C. Day                     and Director (Principal
                                                 Executive Officer)
 
               /s/  BYRON L. WELLIVER          Senior Vice President --             May 11, 1995
- ---------------------------------------------    Finance, Treasurer and
              Byron L. Welliver                  Controller (Principal
                                                 Financial and Accounting
                                                 Officer)

               /s/  MICHAEL A. CAWLEY          Director                             May 11, 1995
- ---------------------------------------------
              Michael A. Cawley
 
              /s/  LAWRENCE J. CHAZEN          Director                             May 11, 1995
- ---------------------------------------------
             Lawrence J. Chazen
 
              /s/  TOMMY C. CRAIGHEAD          Director                             May 11, 1995
- ---------------------------------------------
             Tommy C. Craighead
 
                                               Director
- ---------------------------------------------
               James L. Fishel
 
              /s/  JOHNNIE W. HOFFMAN          Director                             May 11, 1995
- ---------------------------------------------
             Johnnie W. Hoffman
</TABLE>
 
                                      II-4
<PAGE>   30
 
<TABLE>
<CAPTION>
                  SIGNATURE                               TITLE                      DATE
                  ---------                               -----                      ----
                                                               
<S>                                            <C>                             <C>
           /s/  MARC E. LELAND                 Director                             May 11, 1995
- ---------------------------------------------
               Marc E. Leland
 
         /s/  JOHN F. SNODGRASS                Director                             May 11, 1995
- ---------------------------------------------
              John F. Snodgrass
 
                                               Director
- ---------------------------------------------
              Bill M. Thompson
</TABLE>
 
                                      II-5
<PAGE>   31
 
                               INDEX TO EXHIBITS
 
<TABLE>
<CAPTION>
       NUMBER                                        EXHIBIT
       ------                                        -------
<S>                  <C>
         1.1         -- Form of Standby Agreement.

         4.1         -- Restated Certificate of Incorporation of the Registrant dated August
                        29, 1985 (filed as Exhibit 3.7 to the Registrant's Registration
                        Statement on Form 10 (No. 0-13857) and incorporated herein by
                        reference).

         4.2         -- Certificate of Amendment of Restated Certificate of Incorporation of
                        the Registrant dated May 5, 1987 (filed as Exhibit 4.2 to the
                        Registrant's Registration Statement on Form S-3 (No. 33-67130) and
                        incorporated herein by reference).

         4.3         -- Certificate of Amendment of Certificate of Incorporation of the
                        Registrant dated August 1, 1991 (filed as Exhibit 3.16 to the
                        Registrant's Annual Report on Form 10-K for the year ended December
                        31, 1991 and incorporated herein by reference).

         4.4         -- Certificate of Designations of $2.25 Convertible Exchangeable
                        Preferred Stock, par value $1.00 per share, of the Registrant, dated as
                        of November 18, 1991 (filed as Exhibit 3.17 to the Registrant's
                        Annual Report on Form 10-K for the year ended December 31, 1991 and
                        incorporated herein by reference.)

         4.5         -- Certificate of Designations of $1.50 Convertible Preferred Stock, par
                        value $1.00 per share, of the Registrant, dated as of September 15, 1994
                        (filed as Exhibit 3.8 to the Registrant's Annual Report on Form 10-K
                        for the year ended December 31, 1994 and incorporated herein by
                        reference).

         4.6         -- Certificate of Amendment of Certificate of Incorporation of the
                        Registrant dated September 15, 1994 (filed as Exhibit 3.1 to the
                        Registrant's Quarterly Report on Form 10-Q for the three-month period
                        ended March 31, 1995 and incorporated herein by reference).

         4.7         -- Composite copy of the Bylaws of the Registrant as currently in effect
                        (filed as Exhibit 4.8 to the Registrant's Registration Statement on Form
                        S-3 (No. 33-67130) and incorporated herein by reference).

         5.1         -- Opinion of Thompson & Knight, P.C.

        23.1         -- Consent of Price Waterhouse LLP.

        23.2         -- Consent of Arthur Andersen LLP.

        23.4         -- Consent of Thompson & Knight, P.C. (contained in its opinion filed as
                        Exhibit 5.1).

        24.1         -- Power of attorney (included on the signature page of this
                        Registration Statement).
</TABLE>

<PAGE>   1
                                                                   EXHIBIT 1.1




                           Noble Drilling Corporation

                 $2.25 Convertible Exchangeable Preferred Stock



                               STANDBY AGREEMENT



                                                              New York, New York
                                                                    May 12, 1995


Salomon Brothers Inc
Seven World Trade Center
New York, New York 10048


Dear Sirs:

                 Noble Drilling Corporation, a Delaware corporation (the
"Company"), intends to call for redemption on June 1, 1995 (the "Redemption
Date"), all of its outstanding $2.25 Convertible Exchangeable Preferred Stock
(the "$2.25 Preferred Shares") at a redemption price of $26.575 per $2.25
Preferred Share plus accrued dividends from April 1, 1995, to the Redemption
Date of $0.38125, for a total redemption price of $26.95625 (the "Redemption
Price") per $2.25 Preferred Share.  The $2.25 Preferred Shares are convertible
into shares of the Common Stock, $.10 par value, of the Company ("Common
Stock") at any time prior to 5:00 P.M., Central Daylight Savings Time, on May
31, 1995 (the "Final Conversion Date").

                 In order to ensure that the maximum number of $2.25 Preferred
Shares will be converted and that the Company will have available sufficient
funds to redeem any $2.25 Preferred Shares not converted on or prior to the
Final Conversion Date, the Company desires to make arrangements pursuant to
which Salomon Brothers Inc (the "Purchaser") will purchase $2.25 Preferred
Shares on or prior to the Final Conversion Date and convert all such $2.25
Preferred Shares into shares of Common Stock and, to the extent indicated
below, pursuant to which the Purchaser will, at the Company's option, following
the Final Conversion Date purchase shares of Common Stock that would have been
issuable upon the conversion of the $2.25



<PAGE>   2
                                                                              2



Preferred Shares that have not been surrendered for conversion prior to the
expiration of convertibility on the Final Conversion Date.

                 1.  Representations and Warranties.  The Company represents
and warrants to, and agrees with, the Purchaser as set forth below in this
Section 1.  Certain terms used in this Section 1 are defined in paragraph (g)
hereof.

                 (a)  The Company meets the requirements for use of Form S-3
         under the Securities Act of 1933 (the "Act") and has filed with the
         Securities and Exchange Commission (the "Commission") a registration
         statement on such Form for the registration under the Act of the sale
         by the Purchaser of any shares of Common Stock that may be acquired by
         it upon conversion of $2.25 Preferred Shares or purchased pursuant to
         Section 2(b) of this Agreement.  The Company may file with the
         Commission one of the following:  (i) prior to effectiveness of such
         registration statement, a further amendment to such registration
         statement, including the form of final prospectus, (ii) a final
         prospectus in accordance with Rules 430A and 424(b)(1) or (4), or
         (iii) a final prospectus in accordance with Rules 415 and 424(b)(2) or
         (5).  In the case of clause (ii), the Company has included in such
         registration statement, as amended at the Effective Date, all
         information (other than Rule 430A information) required by the Act and
         the rules thereunder to be included in the Prospectus with respect to
         the Common Stock registered pursuant to the Registration Statement and
         the offering thereof.  As filed, such amendment and form of final
         prospectus, or such final prospectus, shall contain all Rule 430A
         information, together with all other such required information, with
         respect to the Common Stock registered pursuant to the Registration
         Statement and the offering thereof and, except to the extent the
         Purchaser shall agree in writing to a modification, shall be in all
         substantive respects in the form furnished to you prior to the
         Execution Time or, to the extent not completed at the Execution Time,
         shall contain only such specific additional information and other
         changes (beyond that contained in the latest Preliminary Prospectus)
         as the Company has advised you, prior to the Execution Time, will be
         included or made therein.





<PAGE>   3
                                                                               3


                 (b)  On the Effective Date, the Registration Statement did or
         will, and when the Prospectus is first filed (if required) in
         accordance with Rule 424(b), on the Final Conversion Date, on the
         Redemption Date and on the Closing Date, the Prospectus (and any
         supplements thereto) will, comply in all material respects with the
         applicable requirements of the Act and the Securities Exchange Act of
         1934 (the "Exchange Act") and the respective rules thereunder, on the
         Effective Date, the Registration Statement did not or will not contain
         any untrue statement of a material fact or omit to state any material
         fact required to be stated therein or necessary in order to make the
         statements therein not misleading; and, on the Effective Date, the
         Prospectus, if not filed pursuant to Rule 424(b), did not or will not,
         and on the date of any filing pursuant to Rule 424(b), on the Final
         Conversion Date, on the Redemption Date and on the Closing Date, the
         Prospectus (together with any supplement thereto) will not, include
         any untrue statement of material fact or omit to state a material fact
         necessary in order to make the statements therein, in the light of the
         circumstances under which they were made, not misleading; provided,
         however, that the Company makes no representations or warranties as to
         the information contained in or omitted from the Registration
         Statement or the Prospectus (or any supplement thereto) in reliance
         upon and in conformity with information furnished in writing to the
         Company by or on behalf of the Purchaser through the Purchaser
         specifically for inclusion in the Registration Statement or the
         Prospectus (or any supplement thereto).

                 (c)  The $2.25 Preferred Shares are convertible into Common
         Stock at a rate of 5.41946 shares of Common Stock per $2.25 Preferred
         Share.  At the Execution Time, there were 2,065,238 shares of $2.25
         Preferred Shares outstanding; the redemption of all the outstanding
         $2.25 Preferred Shares had been duly authorized by the Company; by the
         close of business on the date of execution hereof, all the $2.25
         Preferred Shares shall have been duly called for redemption in
         accordance with the Company's Certificate of Designations of the $2.25
         Preferred Shares (the "Certificate") and the right to convert the
         $2.25 Preferred Shares into shares of Common Stock will, as a result
         of such call, expire at 5:00 P.M., Central





<PAGE>   4
                                                                               4


         Daylight Savings Time, on the Final Conversion Date.  A copy of the
         form of notice of redemption and the related letter of transmittal
         (collectively, the "Notice of Redemption") has been heretofore
         delivered to the Purchaser.  The $2.25 Preferred Shares have been duly
         and validly authorized and issued and are fully paid and
         nonassessable.

                 (d)  The Company has neither taken nor will take, directly or
         indirectly, any action designed to cause or result in, or that has
         constituted or that might reasonably be expected to cause or result
         in, stabilization or manipulation of the price of any security of the
         Company to facilitate the conversion of the $2.25 Preferred Shares.

                 (e)  The Company has neither paid nor given, nor will pay or
         give, directly or indirectly, any commission or other remuneration for
         soliciting the conversion of any $2.25 Preferred Shares into Common
         Stock and cash.

                 (f)  Neither the issue and sale of the Securities (as defined
         in Section 2(b) hereof), nor the consummation of any other of the
         transactions herein contemplated, nor fulfillment of the terms hereof
         will conflict with, result in a breach or violation of, or constitute
         a default under, any law or the charter or bylaws of the Company or
         the terms of any material indenture or other material agreement or
         instrument to which the Company or any of its subsidiaries is a party
         or is bound or any material judgment, order or decree applicable to
         the Company or any of its subsidiaries of any court, regulatory body,
         administrative agency, governmental body or arbitrator having
         jurisdiction over the Company or any of its subsidiaries.

                 (g)  The terms which follow, when used in this Agreement,
         shall have the meanings indicated.  The term "Effective Date" shall
         mean each date that the Registration Statement and any post-effective
         amendment or amendments thereto became or become effective and each
         date after the date hereof on which a document incorporated by
         reference in the Registration Statement is filed.  "Execution Time"
         shall mean the date and time that this Agreement is executed and
         delivered by the parties hereto.  "Preliminary Prospectus" shall mean
         any preliminary prospectus referred to in





<PAGE>   5
                                                                               5


         paragraph (a) above and any preliminary prospectus included in the
         Registration Statement at the Effective Date that omits Rule 430A
         information.  "Prospectus" shall mean the prospectus relating to the
         Securities that is first filed pursuant to Rule 424(b) after the
         Execution Time or, if no filing pursuant to Rule 424(b) is required,
         shall mean the form of final prospectus relating to the Securities
         included in the Registration Statement at the Effective Date.
         "Registration Statement" shall mean the registration statement
         referred to in paragraph (a) above, including incorporated documents,
         exhibits and financial statements, as amended at the Execution Time
         (or, if not effective at the Execution Time, in the form in which it
         shall become effective) and, in the event any post-effective amendment
         thereto becomes effective prior to the Closing Date (as hereinafter
         defined), shall also mean such registration statement as so amended.
         Such term shall include any Rule 430A Information deemed to be
         included therein at the Effective Date as provided in Rule 430A.
         "Rule 415", "Rule 424", "Rule 430A" and "Regulation S-K" refer to such
         rules or regulation under the Act.  "Rule 430A Information" means
         information with respect to the Securities and the offering thereof
         permitted to be omitted from the Registration Statement when it
         becomes effective pursuant to Rule 430A.  Any reference herein to the
         Registration Statement, a Preliminary Prospectus or the Prospectus
         shall be deemed to refer to and include the documents incorporated by
         reference therein pursuant to Item 12 of Form S-3 which were filed
         under the Exchange Act on or before the Effective Date of the
         Registration Statement or the issue date of such Preliminary
         Prospectus or the Prospectus, as the case may be; and any reference
         herein to the terms "amend", "amendment" or "supplement" with respect
         to the Registration Statement, any Preliminary Prospectus or the
         Prospectus shall be deemed to refer to and include the filing of any
         document under the Exchange Act after the Effective Date of the
         Registration Statement, or the issue date of the Preliminary
         Prospectus or the Prospectus, as the case may be, deemed to be
         incorporated therein by reference.





<PAGE>   6
                                                                               6


                 2.  Purchase of Purchased Securities.  Subject to the terms
and conditions and in reliance upon the representations and warranties herein
set forth:

                 (a)  The Purchaser agrees:

                          (i) to purchase, at a flat price of $27.10 per $2.25
                 Preferred Share, all the $2.25 Preferred Shares tendered to
                 Liberty Bank and Trust Company of Oklahoma City, N.A., as
                 Paying Agent (the "Paying Agent"), on or prior to the
                 expiration of convertibility on the Final Conversion Date; and

                          (ii) to surrender for conversion into shares of
                 Common Stock immediately prior to the expiration of
                 convertibility on the Final Conversion Date all $2.25
                 Preferred Shares purchased by the Purchaser pursuant to clause
                 (i) above or Section 4 hereof or otherwise acquired by the
                 Purchaser.  The shares of Common Stock issued to the Purchaser
                 upon the conversion of $2.25 Preferred Shares are referred to
                 as the "Conversion Securities".  The Conversion Securities
                 issued to the Purchaser upon the conversion of $2.25 Preferred
                 Shares purchased by the Purchaser pursuant to clause (i) above
                 are referred to as the "Tendered Securities".

                 (b)  In the event that less than all the outstanding $2.25
         Preferred Shares are surrendered for conversion at or prior to 5:00
         p.m., Central Daylight Savings Time, on the Final Conversion Date, the
         Company agrees to sell to the Purchaser, and the Purchaser agrees to
         purchase from the Company, at a purchase price of $4.97397 per share,
         such whole number of additional shares of Common Stock as would have
         been issuable upon the conversion of such of the $2.25 Preferred
         Shares which shall not have been surrendered for conversion prior to
         the Redemption Date.  The Company shall notify the Purchaser of such
         number of shares as soon as practicable after the expiration of
         convertibility on the Final Conversion Date and in no event later than
         10:00 a.m., Central Daylight Savings Time, on the business day
         following the Final Conversion Date.  The shares of Common Stock to be
         purchased pursuant to this Section 2(b) are referred to as the
         "Purchased Securities" and, together with the Conversion Securities,
         the "Securities".





<PAGE>   7
                                                                               7



                 (c)  It is understood that the Purchaser intends to resell the
         Securities from time to time at prices prevailing in the open market.
         With respect to any Tendered Securities or Purchased Securities, the
         Purchaser, on or prior to June 15, 1995, shall remit to the Company
         50% of the excess, if any, of the aggregate proceeds, received by the
         Purchaser from the sale of such Purchased Securities (net of selling
         concessions, transfer taxes and other expenses of sale) over an amount
         equal to $4.97397 multiplied by the number of such Purchased
         Securities sold by such Purchaser.  Upon completion of the sale of the
         Securities, the Purchaser shall furnish to the Company a statement
         setting forth the aggregate proceeds received on the sale thereof and
         the applicable selling concessions, transfer taxes and other expenses
         of sale.  For purposes of the foregoing determination, any Securities
         not sold by or for the account of the Purchaser prior to the close of
         business on June 15, 1995, shall be deemed to have been sold on such
         day for an amount equal to the last reported sale price of the Common
         Stock on such day.  Nothing contained herein shall limit the right of
         the Purchaser, in its discretion, to determine the price or prices at
         which, or the time or times when, any Securities shall be sold,
         whether or not prior to the Redemption Date and whether or not for
         long or short account.

                 (d)  Delivery of any payment for the Purchased Securities
         shall be made at 9:00 A.M., Central Daylight Savings Time, on June 5,
         1995 (two business days after the Redemption Date), or such other date
         as the Purchaser and the Company may agree (such date and time of
         delivery and payment for the Purchased Securities being herein called
         the "Closing Date").  Delivery of the Purchased Securities shall be
         made to the Purchaser against payment by the Purchaser of the purchase
         price thereof to or upon the order of the Company by wire transfer of
         immediately available funds.  Delivery of the Purchased Securities
         shall be made at such location as the Purchaser shall reasonably
         designate at least one business day in advance of the Closing Date and
         payment for the Purchased Securities shall be made at the offices of
         Thompson & Knight, P.C., 1700 Texas Commerce Tower, 600 Travis Street,
         Houston, Texas 77002.  Certificates for the Purchased Securities shall
         be registered in such names and in such denominations as the Purchaser
         may request.





<PAGE>   8
                                                                               8



                 The Company agrees to have the Purchased Securities available
         for inspection, checking and packaging by the Purchaser in New York,
         New York prior to the Closing Date.

                 Unless the Company waives its right to receive immediately
         available funds at the Closing Date and agrees to accept next-day
         funds in lieu thereof, the Company shall pay to the Purchaser promptly
         following the Closing Date an amount equal to the Purchaser's
         overnight cost of funds on the purchase price payable by the Purchaser
         at the Closing Date.

                 3.  Compensation.  As compensation for the commitment of the
Purchaser hereunder, the Company will pay to the Purchaser an amount equal to
the sum of (i) $556,711, plus (ii) if the aggregate number of the Compensable
Shares exceeds 560,000 shares, an additional $0.20 per Compensable Share for
the aggregate number of all Compensable Shares plus $0.0265 per Tendered
Security for the aggregate number of all Tendered Securities.  Compensable
Shares consist of any Conversion Securities (other than Tendered Securities)
which are resold by the Purchaser for less than $4.97397 per share plus all
Purchased Securities and all Tendered Securities.

                 Such compensation shall be paid to the Purchaser by wire
transfer of immediately available funds on (A) if the Purchaser is required to
purchase any Purchased Securities, the Closing Date, or (B) otherwise, as soon
as practicable after the Final Conversion Date (but in no event later than two
business days thereafter).


                 4.  Additional Purchases.  On or after the date hereof, the
Purchaser may purchase $2.25 Preferred Shares, in the open market or otherwise,
in such amounts and at such prices as the Purchaser may deem advisable.  All
shares of $2.25 Preferred Shares so purchased on or after the date hereof will
be surrendered for conversion into Common Stock prior to 5:00 p.m., Central
Daylight Savings Time, on the Final Conversion Date.  The Common Stock acquired
by the Purchaser upon conversion of any $2.25 Preferred Shares acquired
pursuant to this Section 4 may be sold at any time or from time to time by the
Purchaser.  It is understood that, for the purpose of stabilizing the price of
the Common Stock or otherwise, the Purchaser may make purchases and sales of
Common Stock, the $2.25 Preferred Shares or the





<PAGE>   9
                                                                               9


Company's $1.50 Convertible Preferred Stock, in the open market or otherwise,
for long or short account, on such terms as it may deem advisable and it may
overallot in arranging sales.

                 5.  Agreements.  The Company agrees with the Purchaser that:

                 (a)  The Company will use its best efforts to cause the
         Registration Statement, if not effective at the Execution Time, and
         any amendment thereof, to become effective.  Prior to the termination
         of the offering of the Securities, the Company will not file any
         amendment of the Registration Statement or supplement to the
         Prospectus unless the Company has furnished the Purchaser with a copy
         for its review prior to filing and will not file any such proposed
         amendment or supplement to which the Purchaser may reasonably object.
         Subject to the foregoing sentence, if the Registration Statement has
         become or becomes effective pursuant to Rule 430A, or filing of the
         Prospectus is otherwise required under Rule 424(b), the Company will
         cause the Prospectus, properly completed, and any supplement thereto
         to be filed with the Commission pursuant to the applicable paragraph
         of Rule 424(b) within the time period prescribed and will provide
         evidence satisfactory to the Purchaser of such timely filing.  The
         Company will promptly advise the Purchaser (i) when the Registration
         Statement, if not effective at the Execution Time, and any amendment
         thereto, shall have become effective, (ii) when the Prospectus, and
         any supplement thereto, shall have been filed (if required) with the
         Commission pursuant to Rule 424(b), (iii) when, prior to termination
         of the offering of the Securities, any amendment to the Registration
         Statement shall have been filed or becomes effective, (iv) of any
         request by the Commission for any amendment of the Registration
         Statement or supplement to the Prospectus or for any additional
         information, (v) of the issuance by the Commission of any stop order
         suspending the effectiveness of the Registration Statement or the
         institution or threatening of any proceeding for that purpose and (vi)
         of the receipt by the Company of any notification with respect to the
         suspension of the qualification of the Securities for sale in any
         jurisdiction or the initiation or threatening of any proceeding for
         such purpose.  The Company will use its best efforts to





<PAGE>   10
                                                                              10


         prevent the issuance of any such stop order and, if issued, to obtain
         as soon as possible the withdrawal thereof.

                 (b)  If, at any time when a prospectus relating to the
         Securities is required to be delivered under the Act, any event occurs
         as a result of which the Prospectus, as then amended or supplemented,
         would include any untrue statement of a material fact or omit to state
         any material fact necessary to make the statements therein, in light
         of the circumstances under which they were made, not misleading, or if
         it shall be necessary to amend the Registration Statement or
         supplement the Prospectus to comply with the Act or the Exchange Act
         or the respective rules thereunder, the Company promptly will (i)
         prepare and file with the Commission, subject to the second sentence
         of paragraph (a) of this Section 5, an amendment or supplement which
         will correct such statement or omission or effect such compliance and
         (ii) supply any supplemented Prospectus to you in such quantities as
         you may reasonably request.

                 (c)  As soon as practicable, the Company will make generally
         available to its security holders and to the Purchaser an earnings
         statement or statements of the Company and its subsidiaries which will
         satisfy the provisions of Section 11(a) of the Act and Rule 158 under
         the Act.

                 (d)  The Company will furnish to the Purchaser and counsel for
         the Purchaser, without charge, signed copies of the Registration
         Statement (including exhibits thereto) and, so long as delivery of a
         prospectus by a Purchaser or dealer may be required by the Act, as
         many copies of each Preliminary Prospectus and the Prospectus and any
         supplement thereto as the Purchaser may reasonably request.  The
         Company will pay the expenses of printing or other production of all
         documents relating to the transactions contemplated hereby.  The
         Company will also pay all reasonable out-of-pocket expenses of the
         Purchaser, including the fees and disbursements of Purchaser's
         counsel, and the fees and disbursements of the Paying Agent.

                 (e)  The Company will arrange for the qualification of the
         Securities for sale under the laws of such jurisdictions as the
         Purchaser may designate,





<PAGE>   11
                                                                              11


         and will maintain such qualifications in effect so long as required
         for the distribution of the Securities; provided, however, that the
         Company will not be required to do so in any jurisdiction where such
         qualification would require the Company to register to do business as
         a foreign corporation, would subject the Company to taxation as doing
         business or would require the Company to file a consent to general
         service of process therein, in any case where it would not otherwise
         be so required or subject.

                (f)  The Company will (i) mail or cause to be mailed on the
         date of execution hereof the Notice of Redemption by first-class mail
         to the registered holders of the $2.25 Preferred Shares, which mailing
         will conform to the requirements of the Certificate and (ii) not later
         than the business day following the date hereof, if requested by the
         Purchaser, publish an advertisement, in form and substance reasonably
         satisfactory to the Purchaser, relating to the redemption of the $2.25
         Preferred Shares.

                 (g)  The Company will direct the Paying Agent to advise the
         Purchaser daily of the amount of $2.25 Preferred Shares surrendered in
         the previous day for redemption or for conversion.

                 (h)  The Company will not take any action the effect of which
         would be to require an adjustment in the conversion price of the $2.25
         Preferred Shares.

                 (i)  The Company will not, prior to the Final Conversion Date
         and for a period of 90 days following the Final Conversion Date,
         without the prior written consent of the Purchaser, which consent
         shall not be unreasonably withheld, offer, sell or contract to sell,
         or otherwise dispose of, directly or indirectly, or announce, or file
         for the registration of, the offering of, any other shares of Common
         Stock or any securities convertible into, or exchangeable for, shares
         of Common Stock; provided, however, that the Company may issue and sell
         or register Common Stock pursuant to any employee stock option plan,
         nonemployee director stock option agreement or stock option plan or
         retirement plan, stock ownership plan or thrift plan of the Company in
         effect at the Execution Time and the Company may issue Common Stock
         issuable upon the conversion of securities or the exercise of warrants





<PAGE>   12
                                                                              12


         outstanding at the Execution Time; and provided further, that the
         Company will no longer be bound by this provision if the Purchaser
         does not acquire any Purchased Securities pursuant to Section 2(b)
         hereof.

                 (j)  The Company confirms as of the date hereof that it is in
         compliance with all provisions of Section 1 of Laws of Florida,
         Chapter 92-198, An Act Relating to Disclosure of Doing Business With
         Cuba, and the Company further agrees that if it commences engaging in
         business with the government of Cuba or with any person or affiliate
         located in Cuba after the date the Registration Statement becomes or
         has become effective with the Securities and Exchange Commission or
         with the Florida Department of Banking and Finance (the "Department"),
         whichever date is later, or if the information reported in the
         Prospectus, if any, concerning the Company's business with Cuba or
         with any person or affiliate located in Cuba changes in any material
         way, the Company will provide the Department notice of such business
         or change, as appropriate, in a form acceptable to the Department.

                 6.  Conditions to the Obligations of the Purchaser.  The
obligations of the Purchaser hereunder to purchase and convert $2.25 Preferred
Shares and to purchase any Purchased Securities shall be subject to the
accuracy of the representations and warranties on the part of the Company
contained herein as of the Execution Time, each Effective Date occurring after
the Execution Time, the Final Conversion Date, the Redemption Date and the
Closing Date, to the accuracy of the statements of the Company made in any
certificates pursuant to the provisions hereof, to the performance by the
Company of its obligations hereunder and the following additional conditions:

                 (a)  Unless the Purchaser agrees in writing to a later time,
         the Registration Statement will become effective not later than 5:00
         P.M., Central Daylight Savings Time, on the date of this Agreement; if
         filing of the Prospectus, or any supplement thereto, is required
         pursuant to Rule 424(b), the Prospectus, and any such supplement, will
         be filed in the manner and within the time period required by Rule
         424(b); and no stop order suspending the effectiveness of the
         Registration Statement shall have been issued and no proceedings for
         that purposes shall have been instituted or threatened.





<PAGE>   13
                                                                              13


                 (b)  On the date of this Agreement and on the Closing Date,
         the Company shall have furnished to the Purchaser the opinion of
         Thompson & Knight, P.C., counsel for the Company, dated as of the date
         of this Agreement and as of the Closing Date, respectively, to the
         effect that:

                          (i) each of the Company, Triton Engineering Services
                 Company, Noble Drilling (U.S.) Inc., Noble Drilling Services
                 Inc., Noble Drilling International Ltd., Noble Drilling (U.K.)
                 Ltd.,  Noble Drilling (Mexico) Inc., Noble Drilling (West
                 Africa) Inc., Noble Drilling (West Africa) Ltd., Noble
                 International Limited and Noble Offshore Corporation
                 (individually a "Material Subsidiary" and collectively the
                 "Material Subsidiaries") has been duly incorporated or
                 organized and is validly existing as a corporation in good
                 standing under the laws of the jurisdiction in which it is
                 chartered or organized, with full corporate power and
                 authority to own its properties and conduct its business as
                 described in the Prospectus, and is duly qualified to do
                 business as a foreign corporation in and is in good standing
                 under the laws of each jurisdiction listed on an exhibit to
                 such opinion;

                          (ii) all the outstanding shares of capital stock of
                 each Material Subsidiary have been duly and validly authorized
                 and issued and are fully paid and nonassessable, and, except
                 as otherwise set forth or incorporated in the Prospectus, all
                 outstanding shares of capital stock of the Material
                 Subsidiaries other than directors' qualifying shares or shares
                 held by nominees to meet former minimum shareholder
                 requirements, are owned of record, and to such counsel's
                 knowledge, beneficially, by the Company either directly or
                 through wholly owned subsidiaries free and clear of any
                 perfected security interest and, to the knowledge of such
                 counsel, after due inquiry, any other security interests,
                 claims, liens or encumbrances;

                          (iii) the Company's authorized equity capitalization
                 is as set forth in the Prospectus; the capital stock of the
                 Company conforms in all material respects to the description
                 thereof





<PAGE>   14
                                                                              14


                 contained in the Prospectus; the outstanding shares of Common
                 Stock have been duly and validly authorized and issued and are
                 fully paid and nonassessable; the Purchased Securities have
                 been duly and validly authorized, and, when issued and
                 delivered to and paid for by the Purchaser pursuant to this
                 Agreement, will be fully paid and nonassessable; the shares of
                 Common Stock issuable upon the conversion of the $2.25
                 Preferred Shares have been duly and validly authorized and,
                 when issued and delivered upon conversion of the $2.25
                 Preferred Shares, will be fully paid and nonassessable; the
                 shares of Common Stock issuable upon the conversion of the
                 $2.25 Preferred Shares have been duly authorized for trading,
                 subject to official notice of issuance, through the NASDAQ
                 National Market System; the form of the certificate for the
                 Securities is in valid and sufficient form; and the holders of
                 outstanding shares of capital stock of the Company are not
                 entitled to preemptive or other rights to subscribe for the
                 Purchased Securities or for the shares of Common Stock
                 issuable upon conversion of the $2.25 Preferred Shares;
                
                          (iv) to the best knowledge of such counsel, there is
                 no pending or overtly threatened action, suit or proceeding
                 before any court or governmental agency, authority or body or
                 any arbitrator involving the Company or any of its
                 subsidiaries of a character required to be disclosed in the
                 Registration Statement which is not adequately disclosed in
                 the Prospectus, and there is no franchise, contract or other
                 document of a character required to be described in the
                 Registration Statement or Prospectus, or to be filed as an
                 exhibit, which is not described or filed as required;

                          (v) the Registration Statement has become effective
                 under the Act; any required filing of the Prospectus, and any
                 supplements thereto, pursuant to Rule 424(b) has been made in
                 the manner and within the time period required by Rule 424(b);
                 to the best knowledge of such counsel, no stop order
                 suspending the effectiveness of the Registration Statement has
                 been issued, no proceedings for that purpose have been
                 instituted





<PAGE>   15
                                                                              15


                 or overtly threatened; and the Registration Statement and the
                 Prospectus (other than the financial statements and related
                 notes, the financial statement schedules and other     
                 financial and statistical information contained or
                 incorporated by reference therein as to which such counsel
                 need express no opinion) comply as to form in all material
                 respects with the applicable requirements of the Act and the
                 Exchange Act and the respective rules thereunder;

                          (vi) this Agreement has been duly authorized, 
                 executed and delivered by the Company;

                          (vii) no consent, approval, authorization or order of
                 any court or governmental agency or body is required for the
                 consummation by the Company of the transactions contemplated
                 herein, except such as have been obtained under the Act and
                 such as may be required under the blue sky laws of any
                 jurisdiction in connection with the purchase and distribution
                 of the Securities by the Purchaser and such other approvals
                 (specified in such opinion) as have been obtained;

                          (viii) the $2.25 Preferred Shares have been duly and
                 validly called for redemption on June 1, 1995; neither the
                 call of the $2.25 Preferred Shares for redemption, the
                 conversion or redemption thereof, the issue and sale of the
                 Securities, nor the consummation of any other of the
                 transactions herein contemplated nor the fulfillment of the
                 terms hereof will conflict with, result in a breach of, or
                 constitute a default under the charter or bylaws of the
                 Company or the terms of any indenture or other agreement or
                 instrument known to such counsel and to which the Company or
                 any of the Material Subsidiaries is a party or by which it is
                 bound, or any judgment, order or decree known to such counsel
                 to be applicable to the Company or any of the subsidiaries of
                 the Company of any court, regulatory body, administrative
                 agency, governmental body or arbitrator having jurisdiction
                 over the Company or any of the Material Subsidiaries;
                 provided, that, with respect to the foregoing opinion as to
                 the charter of the Company, the sale of Securities to persons
                 who are not considered to be U.S. citizens





<PAGE>   16
                                                                              16


                 for purposes of the Shipping Act, 1916, as amended, shall not
                 exceed in the aggregate the Permitted Percentage (as defined
                 in Article XI of the charter of the Company);

                          (ix) neither the call of the $2.25 Preferred Shares
                 for redemption, the conversion or redemption thereof, the
                 issue and sale of the Purchased Securities by the Company nor
                 the consummation of any of the transactions herein
                 contemplated nor the fulfillment of the terms hereof will
                 conflict with, result in a breach of, or constitute a default
                 under any Texas or United States statute;

                          (x) upon the Company taking the specific actions
                 enumerated in such counsel's opinion, notice of redemption of
                 the $2.25 Preferred Shares will have been duly and lawfully
                 given, all the outstanding $2.25 Preferred Shares will have
                 been duly called for redemption on the Redemption Date and the
                 right to convert the $2.25 Preferred Shares will expire on the
                 Final Conversion Date; and

                          (xi) no holders of securities of the Company have
                 rights to the registration of such securities under the
                 Registration Statement which have not heretofore been waived
                 in writing.

         In addition, such counsel shall state that they have participated in
         conferences with directors, officers and other representatives of the
         Company, representatives of the independent public accountants for the
         Company, representatives of the Purchaser and counsel for the
         Purchaser, at which conferences the contents of the Registration
         Statement and the Prospectus and related matters were discussed, and,
         although such counsel have not independently verified and are not
         passing upon and assume no responsibility for the accuracy,
         completeness or fairness of the statements contained in the
         Registration Statement and the Prospectus (except to the extent
         specified elsewhere in such opinion or with reference to such
         counsel), no facts have come to such counsel's attention that lead
         such counsel to believe that, at the Effective Date, the Registration
         Statement included any untrue statement of a material fact or omitted
         to state any





<PAGE>   17
                                                                              17


         material fact necessary to make the statements therein, in the light
         of the circumstances under which they were made, not misleading or
         that the Prospectus includes any untrue statement of a material fact
         or omits to state any material fact necessary to make the statements
         therein, in light of the circumstances under which they were made, not
         misleading (it being understood that such counsel express no view with
         respect to the financial statements and related notes, the financial
         statement schedules or other financial, statistical and accounting
         information contained or incorporated by reference in the Registration
         Statement or Prospectus).

         In rendering such opinion, such counsel may rely (A) as to matters
         involving the application of laws of any jurisdiction other than the
         State of Texas or the United States, to the extent they deem proper
         and specified in such opinion, upon the opinion of other counsel of
         good standing whom they believe to be reliable and who are
         satisfactory to counsel for the Purchaser and (B) as to matters of
         fact, to the extent they deem proper, on certificates of responsible
         officers of the Company or its subsidiaries and public officials.
         References to the Prospectus in this paragraph (b) include any
         supplements thereto at the Closing Date.

                 (c)  On the date of this Agreement and on the Closing Date,
         the Purchaser shall have received from Cravath, Swaine & Moore,
         counsel for the Purchaser, such opinion or opinions, dated the date of
         this Agreement and the Closing Date, respectively, with respect to the
         issuance and sale of the Securities, the Registration Statement, the
         Prospectus (together with any supplement thereto) and other related
         matters as the Purchaser may reasonably require, and the Company shall
         have furnished to such counsel such documents as they request for the
         purpose of enabling them to pass upon such matters.

                 (d)  On the date of this Agreement, and on each Effective Date
         occurring after the Execution Time and on the Closing Date, the
         Company shall have furnished to the Purchaser a certificate of the
         Company, signed by the Chairman of the Board or the President and the
         principal financial or accounting officer of the Company, dated the
         date of delivery, to the effect that





<PAGE>   18
                                                                              18


         the signers of such certificate have carefully examined the
         Registration Statement, the Prospectus, any supplement to the
         Prospectus and this Agreement and that:

                          (i)  the representations and warranties of the
                 Company in this Agreement are true and correct in all material
                 respects on and as of the date of such certificate as if made
                 on the date of such certificate and the Company has complied
                 with all the agreements and satisfied all the conditions on
                 its part to be performed or satisfied at or prior to the date
                 of such certificate;

                          (ii)  no stop order suspending the effectiveness of
                 the Registration Statement has been issued and no proceedings
                 for that purpose have been instituted or, to the Company's
                 knowledge, have been threatened; and

                          (iii)  since the date of the most recent financial
                 statements included in the Prospectus (exclusive of any
                 supplement thereto), there has been no material adverse change
                 in the condition (financial or other), earnings, business or
                 properties of the Company and its subsidiaries, whether or not
                 arising from transactions in the ordinary course of business,
                 except as set forth or contemplated in the Prospectus
                 (exclusive of any supplement thereto).

                 (e)  At the Execution Time, and on each Effective Date
         occurring after the Execution Time on which financial information is
         included or incorporated in the Registration Statement or the
         Prospectus and on the Closing Date, Price Waterhouse LLP shall have
         delivered to the Purchaser a letter or letters, dated as of the date
         of delivery, in form and substance satisfactory to the Purchaser,
         confirming that they are independent public accountants with respect
         to the Company within the meaning of the Act and the Exchange Act and
         the respective applicable published rules and regulations thereunder,
         and stating in effect that:

                          (i)  in their opinion, the audited financial
                 statements of the Company for the year ended December 31, 1994
                 included or incorporated in the Registration Statement and the
                 Prospectus and





<PAGE>   19
                                                                              19


                 reported on by them comply in form in all material respects
                 with the applicable accounting requirements of the Act and the
                 Exchange Act and the related published rules and
                 regulations;

                          (ii) on the basis of a reading of the latest
                 unaudited financial statements made available by the Company
                 and its subsidiaries; carrying out certain specified
                 procedures (but not an examination in accordance with
                 generally accepted auditing standards) which would not
                 necessarily reveal matters of significance with respect to the
                 comments set forth in such letter; a reading of the minutes of
                 the meetings of the stockholders, directors and executive,
                 finance and audit committees of the Company and the Material
                 Subsidiaries; and inquiries of certain officials of the
                 Company who have responsibility for financial and accounting
                 matters of the Company and its subsidiaries as to transactions
                 and events subsequent to December 31, 1994, nothing came to
                 their attention which caused them to believe that:

                                  (1)  the unaudited financial statements of
                          the Company included or incorporated in the
                          Registration Statement and the Prospectus do not
                          comply in form in all material respects with
                          applicable accounting requirements and with the
                          published rules and regulations of the Commission
                          with respect to financial statements included or
                          incorporated in quarterly reports on Form 10-Q under
                          the Exchange Act; and said unaudited financial
                          statements are not in conformity with generally
                          accepted accounting principles applied on a basis
                          substantially consistent with that of the audited
                          financial statements included or incorporated in the
                          Registration Statement and the Prospectus; or

                                  (2)  with respect to the period subsequent to
                          March 31, 1995, there were any changes, at a
                          specified date not more than five business days prior
                          to the date of the letter, in the capital stock,
                          working capital or long-term debt of the Company or
                          decreases in the total assets or shareholders' equity
                          of the Company as compared with the amounts





<PAGE>   20
                                                                              20


                          shown on the most recent consolidated balance sheet
                          included or incorporated in the Registration
                          Statement and the Prospectus, or for the period from
                          March 31, 1995, to such specified date there were any
                          decreases, as compared with the corresponding period
                          in the preceding year in consolidated operating
                          revenues, or in income from continuing operations on
                          a total or per common share basis, except in all      
                          instances for changes or decreases set forth in such
                          letter, in which case the letter shall be accompanied
                          by an explanation by the Company as to the
                          significance thereof unless said explanation is not
                          deemed necessary by the Purchaser;

                          (iii)  they have performed certain other specified
                 procedures as a result of which they determined that certain
                 information of an accounting, financial or statistical nature
                 (which is limited to accounting, financial or statistical
                 information derived from the general accounting records of the
                 Company and its subsidiaries) set forth in the Registration
                 Statement and the Prospectus, including the information set
                 forth under the captions "Price Range of Common Stock and
                 Dividend Policy", "Capitalization", and "Selected Financial
                 Data" in the Prospectus, the information for the year ended
                 December 31, 1994 included in Items 1, 2, 6, 7 and 11 of the
                 Company's Annual Report on Form 10-K, incorporated in the
                 Registration Statement and the Prospectus, and the information
                 included in the "Management's Discussion and Analysis of
                 Financial Condition and Results of Operations" included or
                 incorporated in any of the Company's Quarterly Reports on Form
                 10-Q or any Current Reports on Form 8-K incorporated in the
                 Registration Statement and the Prospectus, agrees with the
                 accounting records of the Company and its subsidiaries,
                 excluding any questions of legal interpretation; and

                          (iv)  on the basis of a reading of any unaudited pro
                 forma financial statements included or incorporated in the
                 Registration Statement and the Prospectus (the "pro forma
                 financial statements"), carrying out certain specified
                 procedures, inquiries of certain officials of the





<PAGE>   21
                                                                              21


                 Company who have responsibility for financial and accounting
                 matters, and proving the arithmetic accuracy of the
                 application of the pro forma adjustments to the historical
                 amounts in the pro forma financial statements, nothing came to
                 their attention which caused them to believe that the pro
                 forma financial statement do not comply in form in all
                 material respects with the applicable accounting requirements
                 of Rule 11-02 of Regulation S-X or that the pro forma
                 adjustments have not been properly applied to the historical
                 amounts in the compilation of such statements.

                 References to the Prospectus in this paragraph (e) include any
                 supplement thereto at the date of the letter.

                 (f)  At the Execution Time, Arthur Andersen LLP shall have
         delivered to the Purchaser a letter or letters, dated as of the date
         of delivery, in form and substance satisfactory to the Purchaser,
         confirming that they were independent public accountants with respect
         to the Company within the meaning of the Act and the Exchange Act and
         the respective applicable published rules and regulations thereunder
         and stating in effect that:

                          (i)  in their opinion, the audited financial
                 statements of the Company for the years ended December 31,
                 1992 and 1993 included or incorporated in the Registration
                 Statement and the Prospectus and reported on by them comply in
                 form in all material respects with the applicable accounting
                 requirements of the Act and the Exchange Act and the related
                 published rules and regulations; and

                          (ii)  they have performed certain other specified
                 procedures as a result of which they determined that certain
                 information of an accounting or financial nature (which is
                 limited to accounting or financial information derived from
                 the general accounting records of the Company and its
                 subsidiaries) set forth in the Registration Statement and the
                 Prospectus, including the information set forth under the
                 caption "Selected Financial Data," and the information for the
                 years ended December 31, 1992





<PAGE>   22
                                                                              22


                 and 1993 included in the "Management's Discussion and Analysis
                 of Financial Condition and Results of Operations" included in
                 the Company's Annual Report on Form 10-K for the year ended
                 December 31, 1994, incorporated in the Registration
                 Statement and the Prospectus, agrees with the accounting
                 records of the Company and its subsidiaries, excluding any
                 questions of legal interpretation.

                 (g)  Subsequent to the Execution Time or, if earlier, the
         dates as of which information is given in the Registration Statement
         (exclusive of any amendment thereof) and the Prospectus (exclusive of
         any supplement thereto), there shall not have been (i) any change or
         decrease specified in the letter or letters referred to in paragraph
         (e) of this Section 6 or (ii) any change, or any development involving
         a prospective change, in or affecting the business or properties of
         the Company and its subsidiaries the effect of which, in any case
         referred to in clause (i) or (ii) above, is, in the judgment of the
         Purchaser, so material and adverse as to make it impractical or
         inadvisable to proceed with the offering or delivery of the Securities
         as contemplated by the Registration Statement (exclusive of any
         amendment thereof) and the Prospectus (exclusive of any supplement
         thereto).

                 (h)  The Company shall have furnished to the Purchaser such
         further information, certificates and documents as the Purchaser may
         reasonably request.

                 If any of the conditions specified in this Section 6 shall not
have been fulfilled in all material respects when and as provided in this
Agreement, or if any of the opinions and certificates mentioned above or
elsewhere in this Agreement shall not be in all material respects reasonably
satisfactory in form and substance to the Purchaser and its counsel, this
Agreement and all obligations of the Purchaser hereunder may be cancelled at,
or at any time prior to, the Closing Date by the Purchaser.  Notice of such
cancellation shall be given to the Company in writing or by telephone or
telegraph confirmed in writing.

                 The documents required to be delivered by this Section 6
shall be delivered to the offices of Thompson & Knight, P.C., 1700 Texas
Commerce Tower, 600 Travis Street,





<PAGE>   23
                                                                              23


Houston, Texas 77002 on the date of this Agreement or on the Closing Date, as
applicable.

                 7.  Reimbursement of Purchaser's Expenses.  If the sale of the
Securities provided for herein is not consummated because any condition to the
obligations of the Purchaser set forth in Section 6 hereof is not satisfied,
because of any termination pursuant to Section 10 hereof or because of any
refusal, inability or failure on the part of the Company to perform any
agreement herein or comply with any provision hereof other than by reason of a
default by the Purchaser, the Company will reimburse the Purchaser upon demand
for all out-of-pocket expenses (including reasonable fees and disbursements of
counsel) that shall have been incurred by them in connection with the proposed
purchase and sale of the Securities.

                 8.  Indemnification and Contribution.

                 (a)  The Company agrees to indemnify and hold harmless the
         Purchaser, the directors, officers, employees and agents of the
         Purchaser and each person who controls the Purchaser within the
         meaning of either the Act or the Exchange Act against any and all
         losses, claims, damages or liabilities, joint or several, to which
         they or any of them may become subject under the Act, the Exchange Act
         or other Federal or state statutory law or regulation, at common law
         or otherwise, insofar as such losses, claims, damages or liabilities
         (or actions in respect thereof) arise out of or are based upon (i) the
         terms of the $2.25 Preferred Shares and the terms of the Company's
         call for redemption thereof or (ii) any untrue statement or alleged
         untrue statement of a material fact contained in the registration
         statement for the registration of the Securities as originally filed
         or in any amendment thereof, or in any Preliminary Prospectus or the
         Prospectus, or in any amendment thereof or supplement thereto, or
         arise out of or are based upon the omission or alleged omission to
         state therein a material fact required to be stated therein or
         necessary to make the statements therein not misleading, and agrees to
         reimburse each such indemnified party, as incurred, for any legal or
         other expenses reasonably incurred by them in connection with
         investigating or defending any such loss, claim, damage or liability
         or action; provided, however, that the Company will not be liable in
         any such case to the extent that any such loss, claim, damage or





<PAGE>   24
                                                                              24


         liability arises out of or is based upon any such untrue statement or
         alleged untrue statement or omission or alleged omission made therein
         in reliance upon and in conformity with written information furnished
         to the Company by or on behalf of the Purchaser through the Purchaser
         specifically for inclusion therein.  This indemnity agreement will be
         in addition to any liability which the Company may otherwise have.

                 (b)  The Purchaser agrees to indemnify and hold harmless the
         Company, each of its directors, each of its officers who signs the
         Registration Statement, and each person who controls the Company
         within the meaning of either the Act or the Exchange Act, to the same
         extent as the indemnity from the Company to the Purchaser set forth in
         clause (ii) of the foregoing paragraph (a), but only with reference to
         the statements set forth in the last paragraph of the cover page and
         under the heading "Standby Arrangements" in any Preliminary Prospectus
         and the Prospectus.  This indemnity agreement will be in addition to
         any liability which the Purchaser may otherwise have.

                 (c)  Promptly after receipt by an indemnified party under this
         Section 8 of notice of the commencement of any action, such
         indemnified party will, if a claim in respect thereof is to be made
         against the indemnifying party under this Section 8, notify the
         indemnifying party in writing of the commencement thereof; but the
         failure so to notify the indemnifying party (i) will not relieve it
         from liability under paragraph (a) or (b) above unless and to the
         extent it did not otherwise learn of such action and such failure
         results in the forfeiture by the indemnifying party of substantial
         rights and defenses and (ii) will not in any event, relieve the
         indemnifying party from any obligations to any indemnified party other
         than the indemnification obligation provided in paragraph (a) or (b)
         above.  The indemnifying party shall be entitled to appoint counsel of
         the indemnifying party's choice at the indemnifying party's expense to
         represent the indemnified party in any action for which
         indemnification is sought (in which case the indemnifying party shall
         not thereafter be responsible for the fees and expenses of any
         separate counsel retained by the indemnified party or parties except
         as set forth below); provided, however, that such counsel shall be
         satisfactory to the indemnified party.  Notwithstanding the
         indemnifying party's election to





<PAGE>   25
                                                                              25


         appoint counsel to represent the indemnified party in such an action,
         the indemnified party shall have the right to employ separate counsel
         (including local counsel), and the indemnifying party shall bear the
         reasonable fees, costs and expenses of such separate counsel if (i)
         the use of counsel chosen by the indemnifying party to represent the
         indemnified party would present such counsel with a conflict of
         interest, (ii) the actual or potential defendants in, or targets of,
         any such action includes both the indemnified party and the
         indemnifying party, and the indemnified party shall have reasonably
         concluded that there may be legal defenses available to it and/or
         other indemnified parties which are different from or additional to
         those available to the indemnifying party, (iii) the indemnifying
         party shall not have employed counsel satisfactory to the indemnified
         party to represent the indemnified party within a reasonable time
         after notice of the institution of such action or (iv) the
         indemnifying party shall authorize the indemnified party to employ
         separate counsel at the expense of the indemnifying party.  An
         indemnifying party will not, without the prior written consent of the
         indemnified parties, settle or comprise or consent to the entry of any
         judgment with respect to any pending or threatened claim, action, suit
         or proceeding in respect of which indemnification or contribution may
         be sought hereunder (whether or not the indemnified parties are actual
         or potential parties to such claim or action) unless such settlement,
         compromise or consent includes an unconditional release of each
         indemnified party from all liability arising out of such claim,
         action, suit or proceeding.

                 (d)  In the event that the indemnity provided in paragraph (a)
         or (b) of this Section 8 is unavailable to or insufficient to hold
         harmless an indemnified party for any reason, the Company and the
         Purchaser agree to contribute to the aggregate losses, claims, damages
         and liabilities (including legal or other expenses reasonably incurred
         in connection with investigating or defending the same) (collectively,
         "Losses") to which the Company and the Purchaser may be subject, in
         such proportion as is appropriate to reflect the relative benefits
         received by the Company and by the Purchaser from the offering of the
         Securities; provided, however, that in no case shall the Purchaser be
         responsible for any amount of Losses that are in excess of the fees





<PAGE>   26
                                                                              26


         payable by the Company to the Purchaser pursuant to Section 3 hereof.
         If the allocation provided by the preceding sentence is unavailable
         for any reason, the Company and the Purchaser shall contribute in such
         proportion as is appropriate to reflect not only such relative
         benefits but also the relative faults of the Company and of the
         Purchaser in connection with the statements or omissions which
         resulted in such Losses as well as any other relevant equitable
         considerations.  Benefits received by the Company shall be deemed to
         be equal to the sum of (i) the liquidation preference of $2.25
         Preferred Shares converted by the Purchaser and (ii) the net amount
         paid by the Purchaser to the Company on the Closing Date; benefits
         received by the Purchaser shall be deemed to be equal to the total
         fees payable by the Company to the Purchaser pursuant to Section 3
         hereof.  Relative fault shall be determined by reference to whether
         any alleged untrue statement or omission relates to information
         provided by the Company or by the Purchaser.  The Company and the
         Purchaser agree that it would not be just and equitable if
         contribution were determined by pro rata allocation or any other method
         of allocation which does not take account of the equitable
         considerations referred to above.  Notwithstanding the provisions of
         this paragraph (d), no person guilty of fraudulent misrepresentation
         (within the meaning of Section 11(f) of the Act) shall be entitled to
         contribution from any person who was not guilty of such fraudulent
         misrepresentation.  For purposes of this Section 8, each person who
         controls the Purchaser within the meaning of either the Act or the
         Exchange Act and each director, officer, employee and agent of the
         Purchaser shall have the same rights to contribution as the Purchaser,
         and each person who controls the Company within the meaning of either
         the Act or the Exchange Act, each officer of the Company who shall
         have signed the Registration Statement and each director of the
         Company shall have the same rights to contribution as the Company,
         subject in each case to the applicable terms and conditions of this
         paragraph (d).

                 9.  Soliciting Conversions.  The Purchaser may assist the
Company in soliciting conversion of the $2.25 Preferred Shares by the holders
thereof but shall not be entitled to compensation by the Company for any such
assistance.





<PAGE>   27
                                                                              27


                 10.  Termination.  This Agreement shall be subject to
termination in the absolute discretion of the Purchaser, by notice given to the
Company at any time prior to the Closing Date, if prior to such time, (i)(a)
trading in the Company's Common Stock or in the $2.25 Preferred Shares shall
have been suspended by the Commission or by the NASDAQ National Market System
during the five business days prior to the Redemption Date (other than if
trading is resumed within one hour), or (b) trading in securities generally on
the New York Stock Exchange or on the NASDAQ National Market System shall have
been suspended or limited or minimum prices shall have been established on such
exchange; (ii) a banking moratorium shall have been declared either by Federal
or New York State authorities; or (iii) there shall have occurred any outbreak
or escalation of hostilities, declaration by the United States of a national
emergency or war or other calamity or crisis the effect of which on financial
markets is such as to make it, in the judgment of the Purchaser, impracticable
or inadvisable to proceed with the offering or delivery of the Securities as
contemplated by the Prospectus (exclusive of any supplement thereto).

                 11.  Representations and Indemnities to Survive.  The
respective agreements, representations, warranties, indemnities and other
statements of the Company or its officers and of the Purchaser set forth in or
made pursuant to this Agreement will remain in full force and effect,
regardless of any investigation made by or on behalf of the Purchaser or the
Company or any of the officers, directors or controlling persons referred to in
Section 8 hereof, and will survive the conversion of any $2.25 Preferred Shares
and the delivery of and payment for any Securities.  The provisions of Section
7 and 8 hereof shall survive the termination or cancellation of this Agreement.

                 12.  Notices.  All communications hereunder will be in writing
and effective only on receipt, and, if sent to the Purchaser, will be mailed,
delivered or telegraphed and confirmed to it at Seven World Trade Center, New
York, New York 10048, attention of Legal Department, with a copy separately
delivered to Cravath, Swaine, & Moore, 825 Eighth Avenue, New York, New York
10019, attention of:  William P. Rogers, Jr., Esq.; or, if sent to the Company,
will be mailed, delivered or telegraphed and confirmed to it at 10370 Richmond
Avenue, Suite 400, Houston, Texas 77042, attention of the President, with a
copy separately delivered to Thompson & Knight, P.C., 1700 Pacific Avenue,
Suite 3300,





<PAGE>   28
                                                                              28


Dallas, Texas 75201-4693, attention of: Robert D. Campbell, Esq.

                 13.  Successors.  This Agreement will inure to the benefit of
and be binding upon the parties hereto and their respective successors and the
officers and directors and controlling persons referred to in Section 8 hereof,
and no other person will have any right or obligation hereunder.

                 14.  Applicable Law.  This Agreement will be governed by and
construed in accordance with the laws of the State of New York.

                 If the foregoing is in accordance with your understanding of
our agreement, please sign and return to us the enclosed duplicate hereof,
whereupon this letter and your acceptance shall represent a binding agreement
between the Company and the Purchaser.


                                         Very truly yours,


                                         NOBLE DRILLING CORPORATION


                                         By:  _________________________
                                              Name:
                                              Title:


The foregoing Agreement is hereby
confirmed and accepted as of the
date first above written.


SALOMON BROTHERS INC


By:  _______________________
     Name:
     Title:






<PAGE>   1
                                                                   EXHIBIT 5.1


                               THOMPSON & KNIGHT
                          A PROFESSIONAL CORPORATION
                           ATTORNEYS AND COUNSELORS

                       1700 PACIFIC AVENUE o SUITE 3300
                          DALLAS, TEXAS 75201-4693
                               (214) 969-1700
                             FAX (214) 969-1751

                                May 11, 1995


Noble Drilling Corporation
10370 Richmond Avenue, Suite 400
Houston, Texas  77042

Dear Sirs:

         We have acted as counsel for Noble Drilling Corporation, a Delaware
corporation (the "Company"), in connection with the preparation of the
Company's Registration Statement on Form S-3 (the "Registration Statement")
filed with the Securities and Exchange Commission (the "Commission") relating
to the registration of a maximum of 11,192,474 shares (the "Shares") of Common
Stock, par value $.10 per share, of the Company under the Securities Act of
1933, as amended (the "Securities Act").  The prospectus forming a part of the
Registration Statement covers the proposed sale from time to time by Salomon
Brothers Inc (the "Purchaser") of such of the Shares as may be acquired by the
Purchaser either (i) upon conversion of shares of $2.25 Convertible
Exchangeable Preferred Stock, par value $1.00 per share ("$2.25 Preferred
Shares"), of the Company (the "Conversion Shares") or (ii) pursuant to and
subject to the terms and conditions of a Standby Agreement between the Company
and the Purchaser (the "Standby Agreement"), the form of which is filed as
Exhibit 1.1 to the Registration Statement (the "Purchased Shares").

         In connection with the foregoing, we have examined the originals or
copies, certified or otherwise authenticated to our satisfaction, of the
Registration Statement, the form of the Standby Agreement and such corporate
records of the Company, certificates of public officials and of officers of the
Company, and other agreements, instruments and documents as we have deemed
necessary to require as a basis for the opinions hereinafter expressed.  Where
facts material to the opinions hereinafter expressed were not independently
established by us, we have relied upon the statements of officers of the
Company, where we deemed such reliance appropriate under the circumstances.

         Based upon the foregoing and in reliance thereon, and subject to the
assumptions and qualifications hereinafter specified, it is our opinion that:

         1.      The Company has been duly incorporated and is validly existing
and in good standing under the laws of the State of Delaware.

         2.      The Conversion Shares have been duly and validly authorized
for issuance by the Company and, when issued and delivered upon conversion of
the $2.25 Preferred Shares as described in the prospectus forming a part of the
Registration Statement, will be legally issued, fully paid and nonassessable.
<PAGE>   2
Noble Drilling Corporation
May 11, 1995
Page 2


         3.      The Purchased Shares to be sold by the Company pursuant to the
Standby Agreement have been duly authorized for issuance by the Company and,
when issued and delivered against payment therefor as described in the
prospectus forming a part of the Registration Statement, will be legally
issued, fully paid and nonassessable.

         We are members of the Bar of the State of Texas only and do not
purport to be experts on the laws of any state or jurisdiction other than the
State of Texas and the United States.  Insofar as the opinions expressed herein
relate to matters governed by Delaware law, we have relied solely upon a
reading of the applicable statutes and the corporate records of the Company and
certificates of public officials and officers of the Company referenced above
with respect to the opinions given herein.

         We hereby consent to the filing of this opinion with the Commission as
an exhibit to the Registration Statement and to the reference to us under the
caption "Legal Opinions" in the prospectus forming a part of the Registration
Statement.  In giving this consent, we do not thereby admit that we come within
the category of persons whose consent is required under Section 7 of the
Securities Act or the rules or regulations of the Commission thereunder.

                                        Respectfully submitted,

                                        THOMPSON & KNIGHT,
                                        A Professional Corporation


                                        By: /s/ ROBERT D. CAMPBELL 
                                           -------------------------------
                                             Robert D. Campbell, Attorney

RDC/wp






<PAGE>   1
 
                                                                    EXHIBIT 23.1
 
                       CONSENT OF INDEPENDENT ACCOUNTANTS
 
     We hereby consent to the incorporation by reference in the Prospectus
constituting part of this Registration Statement on Form S-3 of our report dated
February 2, 1995 appearing on page 19 of Noble Drilling Corporation's Annual
Report on Form 10-K for the year ended December 31, 1994. We also consent to the
reference to us under the heading "Experts" in such Prospectus.
 
PRICE WATERHOUSE LLP
 
Houston, Texas
May 11, 1995

<PAGE>   1
 
                                                                    EXHIBIT 23.2
 
                   CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS
 
     As independent public accountants, we hereby consent to the incorporation
by reference in this Registration Statement of our report dated September 15,
1994 included in the Noble Drilling Corporation Form 10-K for the fiscal year
ended December 31, 1994 and to all references to our Firm included in this
Registration Statement.
 
                                          ARTHUR ANDERSEN LLP
 
Houston, Texas
May 11, 1995


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