NOBLE DRILLING CORP
424B5, 1999-03-05
DRILLING OIL & GAS WELLS
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<PAGE>   1
                                                Filed Pursuant to Rule 424(b)(5)
                                                      Registration No. 333-72059
 
THE INFORMATION IN THIS PROSPECTUS SUPPLEMENT IS INCOMPLETE AND MAY BE CHANGED.
THIS PROSPECTUS SUPPLEMENT IS NOT AN OFFER TO SELL THESE SECURITIES AND IT IS
NOT SOLICITING AN OFFER TO BUY THESE SECURITIES IN ANY STATE WHERE THE OFFER OR
SALE IS NOT PERMITTED.
 
                      SUBJECT TO COMPLETION, MARCH 5, 1999
 
PROSPECTUS SUPPLEMENT
 
(TO PROSPECTUS DATED MARCH 5, 1999)
 
                                  $400,000,000
                                                                          [LOGO]
 
                           NOBLE DRILLING CORPORATION
                   $   ,000,000      % SENIOR NOTES DUE 2009
                   $   ,000,000      % SENIOR NOTES DUE 2019
 
                             ----------------------
 
     We are offering and selling an aggregate of $  ,000,000 of our   % Senior
Notes due 2009 and an aggregate of $  ,000,000 of our   % Senior Notes due 2019.
We will receive the proceeds from the sale of the notes.
 
     Interest on the notes is payable on           and           of each year,
beginning           , 1999. The 2009 notes will mature on           , 2009 and
the 2019 notes will mature on           , 2019. The notes are redeemable, as a
whole or from time to time in part, at our option at the make-whole prices
described in this prospectus supplement. We will also pay accrued interest to
the date of any redemption.
 
     The notes are unsecured and rank equally with all of our other unsecured
senior indebtedness. The notes will not be entitled to the benefit of any
sinking fund.
 
                             ----------------------
 
<TABLE>
<CAPTION>
                                         PUBLIC OFFERING  UNDERWRITING     PROCEEDS,
                                            PRICE(1)        DISCOUNT    BEFORE EXPENSES
                                         ---------------  ------------  ---------------
<S>                                      <C>              <C>           <C>
Per      % Senior Note due 2009........         %              %               %
Total..................................         $              $               $
Per      % Senior Note due 2019........         %              %               %
Total..................................         $              $               $
</TABLE>
 
(1) Plus accrued interest from March   , 1999, if settlement occurs after that
    date
 
     Neither the Securities and Exchange Commission nor any state securities
commission has approved or disapproved of these securities or determined if this
prospectus supplement or the attached prospectus is truthful or complete. Any
representation to the contrary is a criminal offense.
 
     The notes will be ready for delivery in book-entry form only through The
Depository Trust Company on or about March   , 1999.
 
                             ----------------------
 
                               Joint Bookrunners
 
MERRILL LYNCH & CO.                                         SALOMON SMITH BARNEY
 
                             ----------------------
 
           THE DATE OF THIS PROSPECTUS SUPPLEMENT IS MARCH   , 1999.
<PAGE>   2
 
                             ----------------------
 
                           FORWARD-LOOKING STATEMENTS
 
     We make forward-looking statements in this document, and in our public
documents to which we refer, that are subject to risks and uncertainties in
addition to those set forth in the accompanying prospectus. These
forward-looking statements include information about possible or assumed future
results of our operations. Also, when we use any of the words "anticipates,"
"believes," "expects" or similar expressions, we are making forward-looking
statements. Many possible events or factors could affect our future financial
results and performance. This could cause our results or performance to differ
materially from those we express in our forward-looking statements. You should
consider these risks before you purchase any notes. These possible events or
factors include the following:
 
     - volatility in crude oil and natural gas prices;
 
     - potential further deterioration in the demand for our drilling services
       and resulting declining dayrates;
 
     - cancellation by our customers of drilling contracts or letters of intent
       for drilling contracts or their exercise of early termination provisions
       generally found in our drilling contracts;
 
     - risks associated with our turnkey drilling operations;
 
     - intense competition in the drilling industry;
 
     - heavy demand for the equipment and services that we need in order to
       finish our major shipyard refurbishment and conversion projects on
       schedule and on budget;
 
     - political and economic conditions in international markets where we
       operate;
 
     - adverse weather (such as hurricanes) and seas;
 
     - operational risks (such as blowouts, fires and loss of production);
 
     - limitations on our insurance coverage; and
 
     - requirements and potential liability imposed by governmental regulation
       of the drilling industry (including environmental regulation).
 
     We undertake no obligation to publicly update or revise any forward-looking
statements, whether as a result of new information, future events or otherwise.
In light of these risks, uncertainties and assumptions, the forward-looking
events discussed in this prospectus supplement and discussed in or incorporated
by reference in the accompanying prospectus may not occur.
 
                             ----------------------
 
     You should rely only on the information contained in this prospectus
supplement and the accompanying prospectus. We have not, and the underwriters
have not, authorized any other person to provide you with different information.
If anyone provides you with different or inconsistent information, you should
not rely on it. We are not, and the underwriters are not, making an offer to
sell these securities in any jurisdiction where the offer or sale is not
permitted. You should assume that the information appearing in this prospectus
supplement and the accompanying prospectus, together with the information we
previously filed with the Securities and Exchange Commission and incorporated by
reference, is accurate as of the date on the front cover of this prospectus
supplement only. Our business, financial condition, results of operations and
prospects may change after that date.
 
                                       S-2
<PAGE>   3
 
                               TABLE OF CONTENTS
 
<TABLE>
<CAPTION>
                                                               PAGE
                                                               ----
<S>                                                            <C>
                       PROSPECTUS SUPPLEMENT
 
Forward-Looking Statements..................................    S-2
Prospectus Supplement Summary...............................    S-5
Use of Proceeds.............................................    S-9
Capitalization..............................................   S-10
The Company.................................................   S-11
Description of Certain Other Indebtedness...................   S-17
Description of the Notes....................................   S-18
Underwriting................................................   S-25
Legal Matters...............................................   S-26
 
                            PROSPECTUS
 
About This Prospectus.......................................      2
Where You Can Find More Information.........................      2
The Company.................................................      3
Risk Factors................................................      3
Use of Proceeds.............................................      4
Ratio of Earnings to Fixed Charges..........................      4
Description of Debt Securities..............................      5
Description of Capital Stock................................     10
Plan of Distribution........................................     17
Legal Matters...............................................     18
Experts.....................................................     18
</TABLE>
 
                                       S-3
<PAGE>   4
 
                           [intentionally left blank]
 
                                       S-4
<PAGE>   5
 
                         PROSPECTUS SUPPLEMENT SUMMARY
 
     The following information may not contain all the information that may be
important to you. You should read the entire prospectus supplement and
accompanying prospectus, as well as the documents incorporated by reference in
the prospectus, before making an investment decision. As used in this prospectus
supplement and the accompanying prospectus, unless otherwise required by the
context, the terms "we," "us," "our" and the "Company" refer to Noble Drilling
Corporation and its consolidated subsidiaries, and the term "Noble Drilling"
refers only to Noble Drilling Corporation.
 
     The term "2009 notes" refers to the      % Senior Notes due 2009, and the
term "2019 notes" refers to the      % Senior Notes due 2019. The term "notes"
refers to the 2009 notes and the 2019 notes collectively.
 
     Unless otherwise indicated, the information in this prospectus supplement
assumes that we purchase and retire 100 percent of the outstanding $125 million
principal amount of our 9 1/8% Senior Notes due 2006 for which we commenced a
tender offer on February 19, 1999. We may not succeed in purchasing and retiring
all the 9 1/8% Senior Notes pursuant to our tender offer.
 
                                  THE COMPANY
 
     We are a leading provider of diversified services for the oil and gas
industry. Contract drilling services are performed with our fleet of 47 offshore
drilling units located in key markets worldwide. Our fleet of floating deepwater
units consists of nine semisubmersibles and three dynamically positioned
drillships, seven of which are designed to operate in water depths greater than
5,000 feet. Our fleet of 32 jackup rigs includes 19 premium units that operate
in water depths of 300 feet and greater, four of which operate in water depths
of 360 feet and greater. In addition, our fleet includes three submersible
drilling units. Ten of our drilling units are capable of operating in harsh
environments. Over 60 percent of the fleet is currently deployed in
international markets, principally including the North Sea, Africa, Brazil, the
Middle East and Mexico. We also provide engineering and production management
services and turnkey drilling services.
 
     Noble Drilling was organized as a Delaware corporation in 1939. Noble
Drilling 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.
 
                                  THE OFFERING
 
Notes Offered..............  $     million principal amount of      % Senior
                             Notes due 2009 and $          million principal
                             amount of      % Senior Notes due 2019.
 
Maturity Dates.............           , 2009 for the 2009 notes and
                                                 , 2019 for the 2019 notes.
 
Interest Payment Dates.....            and           of each year, commencing
                                      , 1999.
 
Optional Redemption........  We have the option to redeem each series of notes,
                             at any time in whole or from time to time in part,
                             on any date before maturity at prices equal to 100
                             percent of the principal amount of notes redeemed
                             plus (1) accrued interest to the redemption date
                             and (2) a make-whole premium. See "Description of
                             the Notes -- Redemption."
 
Sinking Fund...............  The notes do not have the benefit of any sinking
                             fund.
 
Ranking....................  The notes will:
 
                             - be our general unsecured senior obligations;
 
                             - rank equally with all our existing and future
                               unsecured senior indebtedness, which as of
                               December 31, 1998 and as adjusted for the use of
                               a portion of the proceeds from the notes offered
                               hereby to purchase and
 
                                       S-5
<PAGE>   6
 
                               retire an assumed 100 percent of our 9 1/8%
                               Senior Notes due 2006, totaled approximately $11
                               million;
 
                             - be effectively junior to any future secured
                               indebtedness and to all existing and future
                               indebtedness of our subsidiaries, which,
                               together, as of December 31, 1998, totaled
                               approximately $372 million; and
 
                             - rank senior to any future subordinated
                               indebtedness.
 
                             See "Capitalization" and "Description of the
                             Notes."
 
Certain Covenants..........  The indenture governing both series of notes will
                             contain covenants that, among other things, will
                             limit our ability to:
 
                             - create certain liens;
 
                             - engage in certain sale and lease-back
                               transactions; and
 
                             - merge, consolidate and sell assets, except under
                               certain conditions.
 
                             These covenants have various exceptions and
                             qualifications, which are described under
                             "Description of the Notes -- Certain Covenants."
 
Use of Proceeds............  We will use the net proceeds of the offering to:
 
                             - fund the estimated $143 million necessary to
                               purchase and retire an assumed 100 percent of our
                               outstanding $125 million principal amount of
                               9 1/8% Senior Notes due 2006 for which we
                               commenced a tender offer on February 19, 1999;
 
                             - repay the outstanding balance on our $200 million
                               unsecured revolving bank credit facility, which
                               was $75 million as of the date hereof; and
 
                             - fund a portion of the capital expenditures we
                               expect to incur in our ongoing conversion of the
                               Noble Amos Runner and the Noble Max Smith into
                               EVA-4000(TM) semisubmersibles and the conversion
                               of the Noble Homer Ferrington.
 
                             See "Use of Proceeds" and "Capitalization."
 
Absence of a Public Market
for the Notes..............  Each series of the notes will be a new issue of
                             securities for which there is currently no market.
                             We cannot provide any assurance about:
 
                             - the liquidity of any markets that may develop for
                               the notes;
 
                             - your ability to sell notes that you purchase; or
 
                             - the prices at which you will be able to sell your
                               notes.
 
                             Future trading prices of the notes will depend upon
                             many factors, including:
 
                             - prevailing interest rates;
 
                             - our operating results;
 
                             - ratings of the notes; and
 
                             - the market for similar securities.
 
                             Although the representatives of the underwriters
                             have informed us that they each currently intend to
                             make a market in the notes, they are not obligated
                             to do so. Any such market making may be
                             discontinued at any
 
                                       S-6
<PAGE>   7
 
                             time without notice. We do not intend to apply for
                             listing of the notes on any securities exchange or
                             for quotation of the notes in any automated dealer
                             quotation system.
 
Risk Factors...............  We urge you to consider carefully the risks
                             described in "Risk Factors," beginning on page 3 of
                             the prospectus, and elsewhere in or incorporated by
                             reference in this prospectus supplement and the
                             accompanying prospectus, before you make an
                             investment decision.
 
                                       S-7
<PAGE>   8
 
                   SUMMARY CONSOLIDATED FINANCIAL INFORMATION
 
<TABLE>
<CAPTION>
                                                         YEAR ENDED DECEMBER 31,
                                        ----------------------------------------------------------
                                          1994       1995        1996         1997         1998
                                        --------   --------   ----------   ----------   ----------
                                           (IN THOUSANDS, EXCEPT PER SHARE AMOUNTS AND RATIOS)
<S>                                     <C>        <C>        <C>          <C>          <C>
STATEMENT OF OPERATIONS DATA:(1)
Operating revenues....................  $351,988   $327,968   $  514,253   $  713,195   $  788,241
Income before extraordinary charge and
  preferred stock dividends(2)........    21,523      1,594       79,297      263,882      162,032
Net income (loss) applicable to common
  shares(2)(3)........................     8,759     (5,605)      72,597      257,197      162,032
BALANCE SHEET DATA (AT END OF PERIOD):(1)
Property and equipment, net...........  $493,322   $542,978   $  957,034   $1,182,927   $1,649,133
Total assets..........................   739,889    742,530    1,367,173    1,505,811    2,178,632
Long-term debt........................   126,546    129,923      239,272      138,139      460,842
Total debt(4).........................   132,790    142,133      242,894      147,837      609,628
Shareholders' equity..................   527,611    523,493      925,249    1,149,054    1,310,473
OTHER DATA:(1)
EBITDA(5).............................  $ 57,682   $ 47,941   $  128,595   $  257,716   $  301,462
Capital expenditures..................    55,834     91,202      216,887      391,065      540,571
Cash flows from operating
  activities..........................    78,364     28,344      138,076      203,741      263,081
Cash flows from investing
  activities..........................   (35,331)   (64,949)    (386,573)    (128,262)    (550,236)
Cash flows from financing
  activities..........................   (17,047)   (17,251)     356,822      175,194      448,250
Ratio of EBITDA to interest
  expense(6)..........................       4.7x       3.9x         6.9x        15.1x        13.5x
Ratio of earnings to fixed
  charges(7)..........................       3.1        1.4          6.0         20.6         10.2
</TABLE>
 
- ---------------
 
(1) The summary consolidated financial information includes the 1996 acquisition
    of Royal Nedlloyd N.V.'s offshore drilling division and the 1994 acquisition
    of Triton Engineering Services Company, both of which were accounted for
    under the purchase method. Certain reclassifications have been made in prior
    year financial information to conform to the classifications used in 1998.
 
(2) Effective January 1, 1995, we revised our estimates of salvage values and
    remaining depreciable lives of certain rigs. The effect of this revision was
    a decrease to depreciation and amortization of $6,160,000 in 1995. The
    amounts include non-recurring gains on sales of property and equipment, net
    of impairments and income taxes of $8,858,000, $829,000, $19,856,000 and
    $128,489,000 in 1994, 1995, 1996 and 1997, respectively.
 
(3) The amounts include net extraordinary charges of $660,000 in 1996 and
    $6,685,000 in 1997.
 
(4) Consists of long-term debt ($460,842,000 in 1998), short-term debt
    ($101,227,000 in 1998) and current installments of long-term debt
    ($47,559,000 in 1998). The 1998 amount includes $112,250,000 principal
    amount of fixed rate senior secured notes issued by an indirect, wholly
    owned subsidiary of Noble Drilling, which notes are non-recourse except to
    the issuer thereof.
 
(5) EBITDA (for purposes of this table, defined to mean operating income before
    gains on sales of property and equipment, net of impairments and
    depreciation and amortization) is presented here to provide additional
    information about our operations. EBITDA is not a generally accepted
    accounting principles financial indicator and should not be considered an
    alternative to operating income or cash flow from operations or as an
    indication of our performance or a measure of our liquidity.
 
(6) For this calculation, interest expense includes capitalized interest of $0,
    $0, $0, $4,218,000 and $17,200,000 for 1994, 1995, 1996, 1997 and 1998,
    respectively.
 
(7) These computations include Noble Drilling and its subsidiaries and companies
    in which it owns 50 percent or less of the outstanding equity. For these
    ratios, "earnings" is determined by adding "total fixed charges" (excluding
    interest capitalized), income taxes, minority common stockholders' equity in
    net income and amortization of interest capitalized to income from
    continuing operations after eliminating equity in undistributed earnings and
    adding back losses of companies in which at least 20 percent but less than
    50 percent equity is owned. For this purpose, "total fixed charges" consists
    of (i) interest on all indebtedness and amortization of debt discount and
    expense, (ii) interest capitalized and (iii) an interest factor attributable
    to rentals.
 
                                       S-8
<PAGE>   9
 
                                USE OF PROCEEDS
 
     We expect to receive net proceeds from the sale of the notes of
approximately $396.6 million, after deducting underwriting discounts,
commissions and offering expenses. We presently intend to use the net proceeds
to (i) fund the estimated $143 million necessary to purchase and retire an
assumed 100 percent of our outstanding $125 million principal amount of 9 1/8%
Senior Notes due 2006 for which we commenced a tender offer on February 19,
1999, (ii) repay the outstanding balance on our $200 million unsecured revolving
bank credit facility, which was $75 million as of the date hereof, and (iii)
fund a portion of the capital expenditures we expect to incur in our ongoing
conversion of the Noble Amos Runner and Noble Max Smith into EVA-4000(TM)
semisubmersibles and the conversion of the Noble Homer Ferrington. We plan to
invest the net proceeds in short-term, interest bearing securities pending their
use as described. The rate of interest under our bank credit facility was 5.47%
per annum as of the date hereof.
 
                                       S-9
<PAGE>   10
 
                                 CAPITALIZATION
 
     The following table sets forth our consolidated (i) cash and cash
equivalents, (ii) short-term debt and current installments of long-term debt and
(iii) total capitalization at December 31, 1998, and as adjusted to reflect the
issuance of the notes in the aggregate principal amount of $400 million and the
application of the net proceeds thereof.
 
<TABLE>
<CAPTION>
                                                              AS OF DECEMBER 31, 1998
                                                              ------------------------
                                                                ACTUAL     AS ADJUSTED
                                                              ----------   -----------
                                                                   (IN THOUSANDS)
<S>                                                           <C>          <C>
Cash and cash equivalents...................................  $  211,012   $  364,612
                                                              ==========   ==========
Short-term debt and current installments of long-term
  debt(1)...................................................  $  148,786   $   48,786
                                                              ==========   ==========
Long-term debt:
  9 1/8% Senior Notes due 2006 net of unamortized
     discount(2)............................................  $  124,825   $       --
  Project financings:
     Wolff Notes............................................     145,000      145,000
     Romano Notes(3)........................................     112,250      112,250
     Thompson Notes.........................................     115,000      115,000
  Insurance financing.......................................      11,326       11,326
  Notes offered hereby......................................          --      400,000
  Less: Current installments................................     (47,559)     (47,559)
                                                              ----------   ----------
          Total long-term debt..............................     460,842      736,017
                                                              ----------   ----------
Shareholders' equity(4).....................................   1,310,473    1,297,473
                                                              ----------   ----------
          Total capitalization..............................  $1,771,315   $2,033,490
                                                              ==========   ==========
</TABLE>
 
- ---------------
 
(1) At December 31, 1998, we had a line of credit totaling $200,000,000,
    including a letter of credit facility totaling $40,000,000. As of December
    31, 1998, the outstanding principal balance was $100,000,000 under this line
    of credit with an additional $3,792,000 committed to outstanding letters of
    credit. As of such date, $96,208,000 remained available under this credit
    facility. As of the date hereof, the outstanding principal balance was
    $75,000,000. After the application of the net proceeds as described above,
    we will have $196,208,000 available under this line of credit and $3,792,000
    committed to outstanding letters of credit.
 
(2) Assumes that we purchase and retire all the outstanding $125 million
    principal amount of our 9 1/8% Senior Notes due 2006 for which we commenced
    a tender offer on February 19, 1999.
 
(3) The Romano Notes, issued by an indirect, wholly owned subsidiary of Noble
    Drilling, are non-recourse except to the issuer thereof.
 
(4) The As Adjusted amount includes the effect of an extraordinary charge, net
    of taxes, related to the purchase and retirement of an assumed 100 percent
    of our 9 1/8% Senior Notes due 2006. The extraordinary charge represents the
    difference between the total consideration paid and the net carrying value
    of the 2006 notes, including unamortized debt issuance costs.
 
                                      S-10
<PAGE>   11
 
                                  THE COMPANY
 
     We are a leading provider of diversified services for the oil and gas
industry. Contract drilling services are performed with our fleet of 47 offshore
drilling units located in key markets worldwide. Our fleet of floating deepwater
units consists of nine semisubmersibles and three dynamically positioned
drillships, seven of which are designed to operate in water depths greater than
5,000 feet. Our fleet of 32 jackup rigs includes 19 premium units that operate
in water depths of 300 feet and greater, four of which operate in water depths
of 360 feet and greater. In addition, our fleet includes three submersible
drilling units. Ten of our drilling units are capable of operating in harsh
environments. Over 60 percent of the fleet is currently deployed in
international markets, principally including the North Sea, Africa, Brazil, the
Middle East and Mexico. We also provide engineering and production management
services and turnkey drilling services.
 
     Noble Drilling was organized as a Delaware corporation in 1939. Noble
Drilling 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.
 
     Our principal executive offices are located at 10370 Richmond Avenue,
Houston, Texas 77042, and our telephone number is (713) 974-3131.
 
INDUSTRY CONDITIONS
 
     During the second quarter of 1998, demand for offshore drilling rigs in the
U.S. Gulf of Mexico began to soften and, as a result, rig utilization and
dayrates began declining in mid-1998. Later in 1998, international demand for
offshore drilling rigs weakened and rig utilization and dayrates began declining
in those markets. We believe this decreased demand is largely attributable to
depressed oil prices that began declining in 1997 and have remained at low
levels as compared to average prices in recent years. Continued softness in the
demand for drilling services will adversely affect our ability to renew drilling
contracts.
 
     Demand for drilling services depends on a variety of economic and political
factors, including worldwide demand for oil and gas, the ability of the
Organization of Petroleum Exporting Countries ("OPEC") to set and maintain
production levels and pricing, the level of production of non-OPEC countries and
the policies of the various governments regarding exploration and development of
their oil and gas reserves.
 
     We believe that any decrease from current oil and gas prices, or extended
periods at current price levels, will further depress the level of exploration
and production activity and result in a corresponding decline in demand for our
services. Furthermore, the continued consolidation of the oil and gas industry,
as evidenced by the announcement and completion of several recent transactions,
has resulted in, and is likely to continue to result in, a reduction in the
amount of capital spent on exploration and production activities.
 
BUSINESS STRATEGY
 
     In recent years, we have focused on increasing the number of rigs in our
fleet capable of deepwater offshore drilling. We have incorporated this focus
into our broader, long-standing business strategy to actively expand our
international and offshore deepwater capabilities through acquisitions, rig
upgrades and modifications, and to redeploy assets in important geological
areas.
 
  Deepwater Conversions
 
     A principal component of our deepwater strategy is our EVA-4000(TM)
semisubmersible conversion program. The EVA-4000(TM) is our proprietary design
that we believe allows us to convert our three-column submersible drilling rigs
into ultra-deepwater semisubmersibles at a lower cost and on an accelerated
delivery schedule versus a new construction project. We delivered our first
EVA-4000(TM) semisubmersible, the Noble Paul Romano, in the fourth quarter of
1998, and our second EVA-4000(TM) conversion, the Noble Paul Wolff, is under tow
to Brazil for a scheduled delivery in the first quarter of 1999. Four other
semisubmersible conversions are in progress, including three EVA-4000(TM)
conversions, and are expected to be available for service in 1999 or early 2000.
 
                                      S-11
<PAGE>   12
 
     The Noble Paul Romano, which is capable of drilling in 6,000 feet of water,
is contracted to Shell Deepwater Development Inc. ("Shell Deepwater"), an
affiliate of Shell Oil Company, for a five year contract in the U.S. Gulf of
Mexico. The Noble Paul Wolff, a dynamically positioned unit capable of drilling
in 8,900 feet of water, is contracted to Petroleo Brasiliero S.A. ("Petrobras")
for six years in Brazil.
 
     The Noble Jim Thompson, which will be capable of drilling in 6,000 feet of
water, is contracted to Shell Deepwater for an initial term of three years, with
options to extend by Shell Deepwater, in the U.S. Gulf of Mexico. Delivery is
anticipated in the second quarter of 1999. The Noble Amos Runner, which will be
capable of drilling in 6,600 feet of water, is contracted to a rig-sharing
consortium of operators for a five year term in the U.S. Gulf of Mexico. The rig
is expected to be delivered in the third quarter of 1999. The Noble Max Smith,
which is currently subject to a letter of intent, will be capable of drilling in
6,000 feet of water. We are in the process of finalizing a five year drilling
contract with Amerada Hess Corporation and Union Pacific Resources Corporation
to work the unit in the U.S. Gulf of Mexico. The rig is expected to be delivered
in late 1999. The Noble Homer Ferrington is subject to a letter of intent with
Samedan Oil Corporation and Mariner Energy, Inc. for a five year drilling
contract in the U.S. Gulf of Mexico. We continue to meet with these two
operators to work toward the finalization of the drilling contract and related
rig sharing agreement. Shipyard work on the rig, which will be capable of
drilling in 6,000 feet of water, is progressing on a schedule for delivery of
the rig in the first quarter of 2000.
 
  Acquisitions, Upgrades and Modifications
 
     In addition to our deepwater conversion program, we have focused on
upgrading our other rigs, building and acquiring additional deepwater and
premium rigs and divesting shallow water, land and other rigs not consistent
with our long-term strategy. In May 1997, we sold 12 mat-supported jackup rigs
for approximately $269 million, and in December 1996 we sold our land drilling
operations for approximately $60 million. In addition, we spent approximately
$273 million and $482 million in 1997 and 1998, respectively, on acquiring
(including an investment in a joint venture), constructing and converting
deepwater and premium rigs. Through the completion of our EVA-4000(TM)
semisubmersible conversion program, coupled with our selective asset
divestitures and acquisitions, we expect that the average water depth capability
of our rig fleet will continue to increase.
 
  Balanced Long-Term and Short-Term Contract Portfolio
 
     We typically employ each drilling unit under an individual contract.
Although the final terms of such contracts are the result of negotiations
between our customers and us, many contracts are awarded based upon competitive
bidding. We seek to balance our contract portfolio between long-term and
short-term contracts. We believe that a balanced contract portfolio will help to
mitigate the cyclical nature of the drilling industry and will provide for a
component of longer-term, more predictable cash flows, while maintaining the
opportunity to capitalize on potential increases in drilling rig dayrates
worldwide.
 
  Redeployments
 
     From time to time, we have strategically redeployed certain offshore
drilling units in order to position assets in important geological areas. In
addition, the ability to redeploy our floating deepwater units and premium
independent leg cantilevered jackups allows us to take advantage of active
drilling markets where demand for our offshore drilling units is more favorable.
Since early 1998, we have transferred the Noble John Sandifer from the U.S. Gulf
of Mexico to the Bay of Campeche, the Noble Kenneth Delaney from India to Qatar,
the Noble Paul Wolff from the U.S. Gulf of Mexico to Brazil, the Noble Sam Noble
from the Bay of Campeche to the U.S. Gulf of Mexico and the Noble Carl Norberg
and the Noble Earl Frederickson from Venezuela to the U.S. Gulf of Mexico.
 
OFFSHORE DRILLING OPERATIONS
 
     Our offshore contract drilling operations, which accounted for
approximately 66 percent and 76 percent of operating revenues for the years
ended December 31, 1997 and 1998, respectively, are conducted worldwide.
 
                                      S-12
<PAGE>   13
 
Our offshore drilling fleet consists of 47 units. Our principal regions of
offshore contract drilling operations include the North Sea, the Gulf of Mexico,
Africa, South America, the Middle East and India. In 1998, one customer
accounted for approximately 12 percent of our total operating revenues, and no
other single customer accounted for more than 10 percent of our total operating
revenues.
 
  International Contract Drilling
 
     Offshore contract drilling services from international sources accounted
for approximately 74 percent and 80 percent of our total offshore contract
drilling services revenues for 1997 and 1998, respectively. In 1998,
approximately 39 percent of our international offshore contract drilling
services revenues was derived from contracts with major oil and gas companies,
37 percent from contracts with government-owned companies and the balance from
contracts with independent operators.
 
  Domestic Contract Drilling
 
     Offshore contract drilling services from domestic sources accounted for
approximately 26 percent and 20 percent of our total offshore contract drilling
services revenues for 1997 and 1998, respectively. In 1998, approximately 86
percent of our domestic offshore contract drilling revenues was derived from
contracts with independent operators and the remaining 14 percent was derived
from contracts with major oil and gas companies.
 
DRILLING FLEET
 
     Our offshore drilling rig fleet consists of 47 units comprising nine
semisubmersibles (including five submersibles that have been or are being
converted to EVA-4000(TM) semisubmersibles), three drillships, 32 jackup rigs
and three submersibles. The rig count includes one drillship and one
semisubmersible unit in which we have partial ownership interests through joint
venture arrangements and one jackup rig operated pursuant to a long-term
bareboat charter agreement with the owner. Each type of rig is described further
below. There are several factors that determine the type of rig most suitable
for a particular job, the more significant of which include the water depth and
bottom conditions at the proposed drilling location, whether the drilling is
being done over a platform or other structure, and the intended well depth.
 
  Semisubmersibles
 
     Our semisubmersible fleet consists of nine units. Among the nine are three
units being converted to EVA-4000(TM) semisubmersibles and three Friede &
Goldman 9500 Enhanced Pacesetter semisubmersibles, including one in which we own
a 50 percent interest (with the option to increase to 70 percent) through a
joint venture arrangement. We intend to convert the three Pacesetter
semisubmersibles to deepwater drilling units. Semisubmersibles are floating
platforms which, by means of a water ballasting system, can be submerged to a
predetermined depth so that a substantial portion of the hull is below the water
surface during drilling operations. These units maintain their position over the
well through the use of either a fixed mooring system or a dynamic positioning
system and are designed to work in water depths of up to 8,900 feet and can
drill in many areas where jackup rigs can also drill. However, semisubmersibles
normally require water depth of at least 200 feet in order to conduct
operations. Three of these units are designed to operate in harsh environments.
Semisubmersibles are typically more expensive to construct and operate than
jackup rigs.
 
  Dynamically Positioned Drillships
 
     We have three dynamically positioned drillships in the fleet, one of which
we partially own through a joint venture arrangement. Drillships are ships that
are equipped for drilling and are typically self-propelled and move from one
location to another under their own power. Drillships are positioned over the
well through use of either an anchoring system or a computer controlled dynamic
positioning system. Our two wholly owned drillships, the Noble Leo Segerius and
Noble Roger Eason, are capable of drilling in water depths up to 4,900 feet and
6,000 feet, respectively. The Noble Muravlenko, which we operate and partially
own through a joint venture arrangement, is capable of drilling in water depths
up to 4,000 feet.
 
                                      S-13
<PAGE>   14
 
  Jackup Rigs
 
     We have 32 jackup rigs in the fleet, including one jackup rig which we
operate pursuant to a long-term bareboat charter agreement with the owner.
Jackup rigs are mobile self-elevating drilling platforms equipped with legs
which can be lowered to the ocean floor until a foundation is established to
support the drilling platform. The rig hull includes the drilling rig, jacking
system, crew quarters, loading and unloading facilities, storage areas for bulk
and liquid materials, helicopter landing deck and other related equipment. All
of our jackup rigs are independent leg (i.e., the legs can be raised or lowered
independently of each other) cantilevered rigs. A cantilevered jackup has a
feature that permits the drilling platform to be extended out from the hull,
allowing it to perform drilling or workover operations over pre-existing
platforms or structures. Moving a rig to the drill site involves jacking up its
legs until the hull is floating on the surface of the water. The hull is then
towed to the drill site by tugs and the legs are jacked down to the ocean floor.
The jacking operation continues until the hull is raised out of the water and
drilling operations are conducted with the hull in its raised position. Our
jackup rigs are capable of drilling to a maximum depth of 25,000 feet in water
depths ranging between eight and 390 feet, depending on the jackup rig. Nineteen
of our jackup rigs represent premium units that operate in water depths of 300
feet and greater, four of which operate in water depths of 360 feet and greater.
Seven of our jackup rigs are capable of operating in harsh environments.
 
  Submersibles
 
     We have three submersibles in the fleet. Submersibles are mobile drilling
platforms which are towed to the drill site and submerged to drilling position
by flooding the lower hull until it rests on the sea floor, with the upper deck
above the water surface. Our submersibles are capable of drilling to a maximum
depth of 25,000 feet in water depths ranging between 12 and 85 feet, depending
on the submersible.
 
     The following table sets forth certain information concerning our drilling
rig fleet at February 8, 1999. The table does not include 14 rigs owned by
operators for which we had labor contracts as of February 8, 1999. We operate
and, unless otherwise indicated, own all of the rigs included in the table.
 
                                      S-14
<PAGE>   15
 
                                 DRILLING FLEET
 
<TABLE>
<CAPTION>
                                                                    WATER   DRILLING
                                                                    DEPTH    DEPTH
                                                     YEAR BUILT     RATING  CAPACITY
NAME                                  MAKE          OR REBUILT(1)   (FEET)   (FEET)        LOCATION         STATUS(2)
- ----                                  ----          -------------   ------  --------       --------         ---------
<S>                           <C>                   <C>             <C>     <C>       <C>                   <C>
SEMISUBMERSIBLES -- 9
Noble Paul Wolff(T)           Noble EVA-4000(TM)      1998 R         8,900  30,000    Brazil                Active
Noble Paul Romano(T)          Noble EVA-4000(TM)      1998 R         6,000  30,000    U.S. Gulf of Mexico   Active
Noble Amos Runner(T)(3)       Noble EVA-4000(TM)      1999 R         6,600  30,000    U.S. Gulf of Mexico   Shipyard
Noble Jim Thompson(T)(3)      Noble EVA-4000(TM)      1999 R         6,000  30,000    U.S. Gulf of Mexico   Shipyard
Noble Max Smith(T)(4)         Noble EVA-4000(TM)      1999 R         6,000  30,000    U.S. Gulf of Mexico   Shipyard
Noble Homer Ferrington(T)(4)  Friede & Goldman        2000 R         6,000  30,000    U.S. Gulf of Mexico   Shipyard
                                9500 Enhanced
                                Pacesetter
Noble Ton van                 Offshore Co. SCP III    1991 R         1,500  20,000    U.K.                  Active
  Langeveld(T)(5)
Noble Shelf 6(5)              Friede & Goldman        1986           6,000  25,000    China                 Shipyard
                                9500 Enhanced
                                Pacesetter
Noble Ilion(5)(6)             Friede & Goldman        1987           6,000  25,000    U.S. Gulf of Mexico   Shipyard
                                9500 Enhanced
                                Pacesetter
DYNAMICALLY POSITIONED
  DRILLSHIPS -- 3
Noble Roger Eason(T)          Nedlloyd                1997 R         6,000  25,000    Brazil                Active
Noble Leo Segerius(T)         Gusto Engineering       1996 R         4,900  20,000    Brazil                Active
                                Pelican Class
Noble Muravlenko(T)(7)        Gusto Engineering       1997 R         4,000  21,000    Brazil                Active
                                Pelican Class
INDEPENDENT LEG CANTILEVERED JACKUPS -- 32
Noble Bill Jennings(T)        MLT 84 -- E.R.C.        1997 R           390  25,000    U.S. Gulf of Mexico   Active
Noble Eddie Paul(T)           MLT 84 -- E.R.C.        1995 R           390  25,000    U.S. Gulf of Mexico   Active
Noble Leonard Jones(T)        MLT 53 -- E.R.C.        1998 R           390  25,000    U.S. Gulf of Mexico   Active
Noble Al White(T)(5)          CFEM T-2005C            1997 R           360  25,000    Norway                Active
Noble Byron Welliver(T)(5)    CFEM T-2005C            1982             300  25,000    Denmark               Active
Noble Kolskaya(T)(5)(8)       Gusto Engineering       1997 R           330  25,000    Denmark               Active
Noble Johnnie Hoffman(T)      Baker Marine BMC 300    1993 R           300  25,000    U.S. Gulf of Mexico   Active
Noble Roy Butler(T)(9)        F&G L-780 MOD II        1996 R           300  25,000    Nigeria               Active
Noble Tommy Craighead(T)      F&G L-780 MOD II        1990 R           300  25,000    Nigeria               Active
Noble Kenneth Delaney(T)      F&G L-780 MOD II        1998 R           300  25,000    Qatar                 Active
Noble Percy Johns(T)          F&G L-780 MOD II        1995 R           300  25,000    Nigeria               Active
Noble George McLeod(T)        F&G L-780 MOD II        1995 R           300  25,000    Qatar                 Active
Noble Jimmy                   F&G L-780 MOD II        1999 R           300  25,000    UAE                   Shipyard
  Puckett(T)(3)(10)
Noble Gus Androes(T)          Levingston 111-C        1996 R           300  25,000    Qatar                 Active
Noble Lewis Dugger(T)         Levingston 111-C        1997 R           300  20,000    Bay of Campeche       Active
Noble Ed Holt(T)(10)          Levingston 111-C        1994 R           300  25,000    India                 Active
Noble Sam Noble(T)            Levingston 111-C        1982             300  25,000    U.S. Gulf of Mexico   Available
Noble Gene Rosser(T)          Levingston 111-C        1996 R           300  20,000    Bay of Campeche       Active
Noble John Sandifer(T)        Levingston 111-C        1995 R           300  20,000    Bay of Campeche       Active
Noble Charles Copeland(T)     MLT Class 82-SD-C       1995 R           250  20,000    Venezuela             Active
Noble Earl Frederickson(T)    MLT Class 82-SD-C       1979             250  20,000    U.S. Gulf of Mexico   Available
Noble Tom Jobe(T)             MLT Class 82-SD-C       1982             250  25,000    U.S. Gulf of Mexico   Active
Noble Ed Noble(T)             MLT Class 82-SD-C       1990 R           250  20,000    Nigeria               Active
Noble Lloyd Noble(T)          MLT Class 82-SD-C       1990 R           250  20,000    Nigeria               Available
Noble Carl Norberg(T)         MLT Class 82-C          1996 R           250  20,000    U.S. Gulf of Mexico   Available
Noble Chuck Syring(T)         MLT Class 82-C          1996 R           250  20,000    Qatar                 Active
Noble George                  NAM Nedlloyd            1981             250  20,000    Denmark               Active
  Sauvageau(T)(5)(11)
Noble Ronald Hoope(T)(5)(11)  Marine Structure        1982             205  25,000    The Netherlands       Active
                                CJ-46
Noble Lynda                   Marine Structure        1982             205  25,000    The Netherlands       Active
  Bossler(T)(5)(11)             CJ-46
Noble Piet van Ede(T)(5)(11)  Marine Structure        1982             205  25,000    The Netherlands       Active
                                CJ-46
Noble Dick Favor              Baker Marine BMC 150    1993 R           150  20,000    Venezuela             Active
Noble Don Walker(T)           Baker Marine BMC 150    1992 R           150  20,000    Nigeria               Active
SUBMERSIBLES -- 3
Noble Joe Alford              Pace Marine 85G         1997 R            85  25,000    U.S. Gulf of Mexico   Active
Noble Lester Pettus           Pace Marine 85G         1997 R            85  25,000    U.S. Gulf of Mexico   Active
Noble Fri Rodli               Transworld              1998 R            70  25,000    U.S. Gulf of Mexico   Available
</TABLE>
 
                                            (footnotes appear on following page)
 
                                      S-15
<PAGE>   16
 
- ---------------
 
 (T) Denotes Top Drive.
 
 (1) Rigs designated with an "R" were modified, refurbished or otherwise
     upgraded in the year indicated by capital expenditures in an amount deemed
     material by management.
 
 (2) Rigs listed as "active" were under contract, and rigs listed as "available"
     were available for bidding as of February 8, 1999. Rigs listed as
     "shipyard" are in a shipyard for repair, refurbishment or upgrade. Shipyard
     work is scheduled to be completed during 1999 or early 2000, except for the
     Noble Shelf 6 and Noble Ilion which can each be upgraded to a water depth
     rating of 6,000 feet when we receive a long-term contract with an operator.
 
 (3) Signed long-term contracts in place.
 
 (4) Under letter of intent for long-term contract.
 
 (5) Harsh environment capability.
 
 (6) We own a 50 percent interest in the unit through a joint venture
     arrangement. At our election, we can convert a loan we have made to the
     venture to an additional 20 percent interest in the venture.
 
 (7) We operate the unit and own a partial interest in the unit through a joint
     venture arrangement.
 
 (8) We have operating control of the unit pursuant to a long-term bareboat
     charter agreement with the owner.
 
 (9) Although designed for a water depth rating of 300 feet of water, the rig is
     currently equipped with legs adequate to drill in approximately 250 feet of
     water. We own the additional legs required to extend the water depth
     capability to 300 feet of water.
 
(10) Bareboat chartered to a third party under which we maintain operating
     control of the rig.
 
(11) Water depth rating based on North Sea conditions year round.
 
     We anticipate that the primary terms of the current contracts on 23 of 38
of our rigs will expire at varying times in 1999, subject to options to extend
in the case of six contracts. Of the contracts expiring in 1999, the contract
for our semisubmersible unit operating in the North Sea and the contracts for 10
of our jackup rigs and submersibles (five of which are well-to-well contracts)
are scheduled to expire under the terms of the contracts within 30 days after
the date of this prospectus supplement, subject to extensions to complete work
in progress. Assuming continuation of the current weak demand for offshore
drilling services, we expect that the dayrate under any new or renewal contract
that we enter generally will be a lower dayrate than under the expiring
contract.
 
CAPITAL EXPENDITURES
 
     Our capital expenditures for 1999 are expected to aggregate approximately
$481 million of which the majority relates to conversions and upgrades of
drilling units. This amount includes approximately $247 million for the
conversions of the Noble Jim Thompson, Noble Amos Runner and Noble Max Smith to
EVA-4000(TM) semisubmersibles. Additionally, we expect to incur expenditures of
approximately $141 million in 1999 to upgrade the equipment and water depth
capability of the Noble Homer Ferrington. The conversion and upgrade of these
rigs are scheduled to be completed in 1999 or early 2000.
 
TURNKEY DRILLING AND ENGINEERING SERVICES
 
     Through our wholly owned subsidiary, Triton Engineering Services Company
("Triton"), we provide turnkey drilling, drilling project management, drilling
and completion planning and design, and contract engineering and consulting
manpower. Turnkey drilling, Triton's major service, involves the coordination of
all equipment, materials, services and management to drill a well to a specified
depth, for a fixed price. Under turnkey drilling contracts, Triton bears the
financial risk of delays in the completion of the well. In providing its
services, Triton can use drilling rigs owned either by us or by a third party,
depending on availability. The drilling of a turnkey well is generally completed
within 30 to 50 days. Triton completed 14 wells in 1998 compared to 34 wells in
1997. Revenues from turnkey drilling services represented 25 percent and 14
percent of consolidated operating revenues for 1997 and 1998, respectively.
 
                                      S-16
<PAGE>   17
 
     We provide engineering services relating primarily to the design of
drilling equipment for offshore development and production services and to the
recertification of oilfield equipment. We work 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.
 
                   DESCRIPTION OF CERTAIN OTHER INDEBTEDNESS
 
     The following describes our indebtedness other than the notes offered
hereby which will be outstanding after completion of this offering.
 
PROJECT FINANCINGS
 
     In July 1998, Noble Drilling (Paul Wolff) Ltd., an indirect, wholly owned
subsidiary of Noble Drilling and owner of the Noble Paul Wolff, issued $145
million principal amount of its fixed rate senior secured notes (the "Wolff
Notes") in three series. The Wolff Notes bear interest at rates of 6.43% to
6.55% per annum. One series of the Wolff Notes matures on December 1, 2001 ($40
million principal amount) and the other two series mature on December 1, 2004.
Principal and interest payments are payable quarterly on the first day of
September, December, March and June except that the first two quarterly payments
were (and the quarterly payments thereafter through September 1, 2001 in the
case of one series are) interest only. The Wolff Notes are guaranteed by Noble
Drilling and are secured by a first naval mortgage on the Noble Paul Wolff. The
Wolff Notes can be prepaid, in whole or in part, at a premium at any time after
June 1, 2001.
 
     In December 1998, Noble Drilling (Paul Romano) Inc., an indirect, wholly
owned subsidiary of Noble Drilling and owner of the Noble Paul Romano, issued
$112.25 million principal amount of its fixed rate senior secured notes (the
"Romano Notes") in two series (the "Series A Notes" and the "Series B Notes").
The Series A Notes bear interest at 6.33% per annum and the Series B Notes bear
interest at 6.09% per annum. The Series A Notes amortize over 60 months
beginning on January 20, 1999. The Series B Notes are interest only for the
first 59 months with a balloon principal payment in month 60. The Romano Notes
are secured by a first naval mortgage on the Noble Paul Romano and are
non-recourse except to the issuer thereof. The Romano Notes can be prepaid, in
whole or in part, at a premium at any time. Pursuant to the trust indenture and
security agreement under which the Romano Notes are issued, Noble Drilling (Paul
Romano) Inc. is restricted from incurring any indebtedness other than the Romano
Notes, and the Noble Paul Romano may not be mortgaged to secure any debt other
than the Romano Notes.
 
     In December 1998, Noble Drilling (Jim Thompson) Inc., an indirect, wholly
owned subsidiary of Noble Drilling and owner of the Noble Jim Thompson, issued
$115 million principal amount of its fixed rate senior secured notes (the
"Thompson Notes") in four series. The Thompson Notes bear interest at rates of
5.93% to 7.25% per annum. Series A of the Thompson Notes matures on April 1,
2002 ($15 million principal amount), Series B matures on October 1, 2004 ($40
million principal amount), Series C matures on January 1, 2009 ($40 million
principal amount) and Series D matures on January 1, 2009 ($20 million principal
amount). Principal and interest payments are payable quarterly on the first day
of April, July, October and January except that the first two quarterly payments
are interest only for all the notes. The quarterly payments for each series of
the Series B, C and D Notes are interest only until the repayment in full of the
prior series. The Thompson Notes are guaranteed by Noble Drilling and are
secured by a first naval mortgage on the Noble Jim Thompson and, until
completion of its conversion to an EVA-4000(TM) semisubmersible, a first
preferred mortgage on the Noble John Sandifer, and a first preferred fleet
mortgage on the Noble Bill Jennings, Noble Tom Jobe and Noble Eddie Paul. The
Thompson Notes can be prepaid, in whole or in part, at a premium at any time
after January 1, 2001.
 
INSURANCE FINANCINGS
 
     We have entered into financing agreements in connection with our insurance
program. The total amount of such insurance financings outstanding at December
31, 1998 was $12,553,000, of which $11,326,000 was included in long-term debt.

                                      S-17
<PAGE>   18
 
BANK CREDIT FACILITY
 
     We also have an unsecured revolving bank credit facility totaling $200
million, including a letter of credit facility totaling $40,000,000, through
August 14, 2002. We will repay the balance of $75 million currently outstanding
under the facility with a portion of the net proceeds from the offering of the
notes. See "Use of Proceeds" and "Capitalization."
 
                            DESCRIPTION OF THE NOTES
 
     The following description of the particular terms of the 2009 notes and the
2019 notes supplements the general description of the Senior Debt Securities
included in the accompanying prospectus. You should review this description
together with the description of Senior Debt Securities included in the
prospectus. To the extent this description is inconsistent with the description
in the prospectus, this description will control and replace the inconsistent
prospectus description. The 2009 notes and the 2019 notes will be issued as
separate series of Senior Debt Securities under a supplement to the Senior
Indenture, which is more fully described in the accompanying prospectus. The
statements in these descriptions relating to the notes and the Senior Indenture
are brief summaries only, are not complete and are subject to, and are qualified
in their entirety by reference to, all of the provisions of the Senior Indenture
and the notes, forms of which are available from us. Capitalized terms used and
not defined in this description have the meaning given them in the accompanying
prospectus or the Senior Indenture.
 
GENERAL
 
     The 2009 notes will be limited to $  ,000,000 in aggregate principal amount
and will mature on             , 2009. The 2019 notes will be limited to
$  ,000,000 in aggregate principal amount and will mature on             , 2019.
Each series of notes will bear interest from             , 1999, at the annual
rate for that series stated on the cover page of this prospectus supplement.
Interest will be payable semiannually on             and             of each
year, commencing             , 1999, to the holders of record of the notes at
the close of business on the preceding           or           , whether or not
that day is a business day. All payments of interest and principal will be
payable in United States dollars. Each series of notes will be issued only in
book-entry form. See "Description of Debt Securities -- Global Securities" on
page 8 of the accompanying prospectus.
 
     The notes will be senior unsecured obligations and will rank equally in
right of payment to all of our other unsecured senior indebtedness. The notes
will rank senior to any of our future subordinated indebtedness and will be
effectively junior to our future secured indebtedness, if any, and to all
existing and future indebtedness and other liabilities of our subsidiaries. The
notes will rank equally with all our existing and future unsecured senior
indebtedness, which as of December 31, 1998 and as adjusted for the use of a
portion of the proceeds from the notes offered hereby to purchase and retire an
assumed 100 percent of our 9 1/8% Senior Notes due 2006, totaled approximately
$11 million, and will be effectively junior to any future secured indebtedness,
and to all existing and future indebtedness of our subsidiaries, which,
together, as of December 31, 1998, totaled approximately $372 million. As of
December 31, 1998, as adjusted to give effect to the issuance of the notes and
the anticipated use of proceeds from the offering of notes, we would have had an
aggregate of approximately $785 million of consolidated indebtedness (including
$112.25 million of debt issued by one of our Subsidiaries which is non-recourse
except to that Subsidiary). See "Capitalization."
 
     Except as provided above, the terms and provisions set forth in this
"Description of the Notes" shall apply to each series of notes independently.
 
REDEMPTION
 
     Each series of notes will be redeemable, at our option, at any time in
whole or from time to time in part, upon not less than 30 and not more than 60
days' notice as provided in the Senior Indenture, on any date prior to maturity
(the "Redemption Date") at a price (the "Redemption Price") equal to 100 percent
of the principal amount of such notes being redeemed plus accrued interest to
the Redemption Date (subject to the
 
                                      S-18
<PAGE>   19
 
right of holders of record on the relevant record date to receive interest due
on an interest payment date that is on or prior to the Redemption Date), plus a
Make-Whole Premium, if any is required to be paid. The Redemption Price will
never be less than 100 percent of the principal amount of such series of notes
plus accrued interest to the Redemption Date.
 
     The amount of the Make-Whole Premium with respect to any note (or portion
of a note) to be redeemed will be equal to the excess, if any, of:
 
          (i) the sum of the present values, calculated as of the Redemption
     Date, of:
 
             (A) each interest payment that, but for the redemption, would have
        been payable on the note (or its portion) being redeemed on each
        Interest Payment Date occurring after the Redemption Date (excluding any
        accrued interest for the period before the Redemption Date); and
 
             (B) the principal amount that, but for the redemption, would have
        been payable at the final maturity of the note (or its portion) being
        redeemed;
 
          over
 
          (ii) the principal amount of the note (or its portion) being redeemed.
 
     The present values of interest and principal payments referred to in clause
(i) above will be determined in accordance with generally accepted principles of
financial analysis. Those present values will be calculated by discounting the
amount of each payment of interest or principal from the date that each payment
would have been payable, but for the redemption, to the Redemption Date at a
discount rate equal to the Treasury Yield (as defined below) plus      basis
points for the 2009 notes and      basis points for the 2019 notes.
 
     The Make-Whole Premium will be calculated by an independent investment
banking institution of national standing appointed by us, provided that if we
fail to make such appointment at least 45 business days prior to the Redemption
Date, or if the institution so appointed is unwilling or unable to make the
calculation, such calculation will be made by Merrill Lynch & Co. or, if that
firm is unwilling or unable to make the calculation, by an independent
investment banking institution of national standing appointed by the Trustee (in
any such case, an "Independent Investment Banker").
 
     For purposes of determining the Make-Whole Premium, "Treasury Yield" means
a rate of interest per annum equal to the weekly average yield to maturity of
United States Treasury Notes that have a constant maturity that corresponds to
the remaining term to maturity of the notes, calculated to the nearest 1/12 of a
year (the "Remaining Term"). The Treasury Yield will be determined as of the
third business day immediately before the applicable Redemption Date.
 
     The weekly average yields of United States Treasury Notes will be
determined by referring to the most recent statistical release published by the
Federal Reserve Bank of New York and designated "H.15(519) Selected Interest
Rates" or any successor release (the "H.15 Statistical Release"). If the H.15
Statistical Release contains a weekly average yield for United States Treasury
Notes having a constant maturity that is the same as the Remaining Term, then
the Treasury Yield will be equal to that weekly average yield. In all other
cases, the Treasury Yield will be calculated by interpolation, on a
straight-line basis, between the weekly average yields on the United States
Treasury Notes that have a constant maturity closest to and greater than the
Remaining Term and the United States Treasury Notes that have a constant
maturity closest to and less than the Remaining Term (in each case as set forth
in the H.15 Statistical Release). Any weekly average yields as calculated by
interpolation will be rounded to the nearest 1/100th of 1% with any figure of
1/200% or above being rounded upward. If weekly average yields for United States
Treasury Notes are not available in the H.15 Statistical Release or otherwise,
then the Treasury Yield will be calculated by interpolation of comparable rates
selected by the Independent Investment Banker.
 
     If less than all of a series of notes are to be redeemed, the Trustee will
select the notes of such series to be redeemed by such method as the Trustee
shall deem fair and appropriate. The Trustee may select for redemption notes and
portions of notes in amounts of whole multiples of $1,000.
 
                                      S-19
<PAGE>   20
 
     The notes are not subject to a sinking fund.
 
CERTAIN COVENANTS
 
     Limitation on Liens. The Senior Indenture provides that Noble Drilling will
not, and will not permit any of its Subsidiaries to, issue, assume or guarantee
any Indebtedness for borrowed money secured by any Lien upon any Principal
Property or any shares of stock or indebtedness of any Subsidiary that owns or
leases a Principal Property (whether such Principal Property, shares of stock or
indebtedness are now owned or hereafter acquired) without making effective
provision whereby the notes (together with, if we shall so determine, any other
Indebtedness or other obligation) shall be secured equally and ratably with (or,
at our option, prior to) the Indebtedness so secured for so long as such
Indebtedness is so secured. The foregoing restrictions do not, however, apply to
Indebtedness secured by Permitted Liens.
 
     "Permitted Liens" means (i) Liens existing on the date of original issuance
of a series of notes; (ii) Liens on property or assets of, or any shares of
stock of, or other equity interests in, or indebtedness of, any Person existing
at the time such Person becomes a Subsidiary of Noble Drilling or at the time
such Person is merged into or consolidated with Noble Drilling or any of its
Subsidiaries or at the time of a sale, lease or other disposition of the
properties of a Person (or a division thereof) as an entirety or substantially
as an entirety to Noble Drilling or a Subsidiary; (iii) Liens in favor of Noble
Drilling or any of its Subsidiaries; (iv) Liens in favor of governmental bodies
to secure progress or advance payments; (v) Liens securing industrial revenue or
pollution control bonds; (vi) Liens on property securing (a) all or any portion
of the cost of acquiring, constructing, altering, improving or repairing any
property or assets, real or personal, or improvements used or to be used in
connection with such property or (b) Indebtedness incurred by Noble Drilling or
any Subsidiary of Noble Drilling prior to or within one year after the later of
the acquisition, the completion of construction, alteration, improvement or
repair or the commencement of commercial operation thereof, which Indebtedness
is incurred for the purpose of financing all or any part of the purchase price
thereof or construction or improvements thereon; (vii) statutory liens or
landlords', carriers', warehouseman's, mechanics', suppliers', materialmen's,
repairmen's or other like Liens arising in the ordinary course of business and
with respect to amounts not yet delinquent or being contested in good faith by
appropriate proceedings; (viii) Liens on current assets of Noble Drilling or any
Subsidiary securing Indebtedness of Noble Drilling or such Subsidiary,
respectively; (ix) Liens on the stock, partnership or other equity interest of
Noble Drilling or any Subsidiary in any Joint Venture or any Subsidiary that
owns an equity interest in such Joint Venture to secure Indebtedness, provided
the amount of such Indebtedness is contributed and/or advanced solely to such
Joint Venture; and (x) any extensions, substitutions, replacements or renewals
in whole or in part of a Lien enumerated in clauses (i) through (ix) above.
 
     Notwithstanding the foregoing, Noble Drilling and its Subsidiaries may,
without securing the notes, issue, assume or guarantee secured Indebtedness that
would otherwise be subject to the foregoing restrictions in an aggregate
principal amount that, together with all other such Indebtedness of Noble
Drilling and its Subsidiaries that would otherwise be subject to the foregoing
restrictions (including Indebtedness permitted to be secured under clause (i)
under the definition of Permitted Liens but excluding Indebtedness permitted to
be secured under clauses (ii) through (x) thereunder) and the aggregate amount
of Attributable Indebtedness deemed outstanding with respect to Sale/Leaseback
Transactions (other than those in connection with which we have voluntarily
retired any of the notes, any Pari Passu Indebtedness or any Funded Indebtedness
pursuant to clause (c) below under the heading "Limitation on Sale/Leaseback
Transactions") does not at any one time exceed 15 percent of Consolidated Net
Tangible Assets of Noble Drilling and its consolidated Subsidiaries.
 
     Limitation on Sale/Leaseback Transactions. The Senior Indenture provides
that Noble Drilling will not, and will not permit any Subsidiary to, enter into
any Sale/Leaseback Transaction with any person (other than Noble Drilling or a
Subsidiary) unless: (a) Noble Drilling or such Subsidiary would be entitled to
incur Indebtedness in a principal amount equal to the Attributable Indebtedness
with respect to such Sale/ Leaseback Transaction secured by a Lien on the
property subject to such Sale/Leaseback Transaction pursuant to the covenant
described under "Limitation on Liens" above without equally and ratably securing
the notes pursuant to such covenant; (b) after the date of the first series of
notes issued under the Senior
                                      S-20
<PAGE>   21
 
Indenture and within a period commencing nine months prior to the consummation
of such Sale/Leaseback Transaction and ending nine months after the consummation
thereof, Noble Drilling or such Subsidiary shall have expended for property used
or to be used in the ordinary course of business of Noble Drilling and its
Subsidiaries an amount equal to all or a portion of the net proceeds of such
Sale/Leaseback Transaction and we shall have elected to designate such amount as
a credit against such Sale/Leaseback Transaction (with any such amount not being
so designated to be applied as set forth in clause (c) below or as otherwise
permitted); or (c) we, during the nine-month period after the effective date of
such Sale/Leaseback Transaction, shall have applied to either (i) the voluntary
defeasance or retirement of any notes, any Pari Passu Indebtedness or any Funded
Indebtedness or (ii) the acquisition of one or more Principal Properties at fair
value, an amount equal to the greater of the net proceeds of the sale or
transfer of the property leased in such Sale/Leaseback Transaction and the fair
value, as determined by the Board of Directors of Noble Drilling, of such
property as the time of entering into such Sale/Leaseback Transaction (in either
case adjusted to reflect the remaining term of the lease and any amount expended
by us as set forth in clause (b) above), less an amount equal to the sum of the
principal amount of notes, Pari Passu Indebtedness and Funded Indebtedness
voluntarily defeased or retired by us plus any amount expended to acquire any
Principal Properties at fair value, within such nine-month period and not
designated as a credit against any other Sale/ Leaseback Transaction entered
into by Noble Drilling or any Subsidiary during such period.
 
     Consolidation, Merger and Sale of Assets. The Senior Indenture provides
that we will not, in any transaction or series of transactions, consolidate with
or merge into any Person, or sell, lease, convey, transfer or otherwise dispose
of all or substantially all of our assets to any Person, unless: (i) either (a)
we shall be the continuing corporation or (b) the Person (if other than Noble
Drilling or any of its Subsidiaries) formed by such consolidation or into which
we are merged, or the Person which acquires, by sale, lease, conveyance,
transfer or other disposition, all or substantially all of our assets, shall be
organized and validly existing under the laws of the United States of America,
any political subdivision thereof or any state thereof or the District of
Columbia, and shall expressly assume, by a supplemental indenture, the due and
punctual payment of the principal of (and premium, if any) and interest on the
notes and the performance of our covenants and obligations under such Senior
Indenture and the notes; (ii) immediately after giving effect to such
transaction or series of transactions, no default or Event of Default shall have
occurred and be continuing or would result therefrom; and (iii) certain other
conditions are met.
 
DEFINITIONS
 
     "Attributable Indebtedness," when used with respect to any Sale/Leaseback
Transaction, means, as at the time of determination, the present value
(discounted at the rate set forth or implicit in the terms of the lease included
in such transaction) of the total obligations of the lessee for rental payments
(other than amounts required to be paid on account of taxes, maintenance,
repairs, insurance, assessments, utilities, operating and labor costs and other
items which do not constitute payments for property rights) during the remaining
term of the lease included in such Sale/Leaseback Transaction (including any
period for which such lease has been extended). In the case of any lease which
is terminable by the lessee upon the payment of a penalty, such net amount shall
be the lesser of the net amount determined assuming termination upon the first
day such lease may be terminated (in which case the net amount shall also
include the amount of the penalty, but no rent shall be considered as required
to be paid under such lease subsequent to the first date upon which it may be so
terminated) or the net amount determined assuming no such termination.
 
     "Capitalized Lease Obligations" of any Person means the obligations of such
Person to pay rent or other amounts under any lease of (or other arrangement
conveying the right to use) real or personal property, or a combination thereof,
which obligations are required to be classified and accounted for as capital
leases on a balance sheet of such Person under generally accepted accounting
principles, and the amount of such obligations shall be the capitalized amount
thereof determined in accordance with generally accepted accounting principles.
 
     "Consolidated Net Tangible Assets" means the total amount of assets (less
applicable reserves and other properly deductible items) after deducting (1) all
current liabilities (excluding the amount of those which are by their terms
extendable or renewable at the option of the obligor to a date more than 12
months after the
                                      S-21
<PAGE>   22
 
date as of which the amount is being determined and current maturities of
long-term debt) and (2) all goodwill, trade names, trademarks, patents,
unamortized debt discount and expense and other like intangible assets, all as
set forth on the most recent quarterly balance sheet of Noble Drilling and its
consolidated Subsidiaries and determined in accordance with GAAP.
 
     "Funded Indebtedness" means all Indebtedness (including Indebtedness
incurred under any revolving credit, letter of credit or working capital
facility) that by its terms matures on, or that is renewable at the option of
any obligor thereon to, a date more than one year after the date on which such
Indebtedness is originally incurred.
 
     "Indebtedness" of any Person means, without duplication, (i) all
indebtedness of such Person for borrowed money (whether or not the recourse of
the lender is to the whole of the assets of such Person or only to a portion
thereof), (ii) all obligations of such Person evidenced by bonds, debentures,
notes or other similar instruments, (iii) all obligations of such Person in
respect of letters of credit or other similar instruments (or reimbursement
obligations with respect thereto), other than standby letters of credit,
performance bonds and other obligations issued by or for the account of such
Person in the ordinary course of business, to the extent not drawn or, to the
extent drawn, if such drawing is reimbursed not later than the third Business
Day following demand for reimbursement, (iv) all obligations of such Person to
pay the deferred and unpaid purchase price of property or services, except trade
payables and accrued expenses incurred in the ordinary course of business, (v)
all Capitalized Lease Obligations of such Person, (vi) all Indebtedness of
others secured by a Lien on any asset of such Person, whether or not such
Indebtedness is assumed by such Person (provided that if the obligations so
secured have not been assumed in full by such Person or are not otherwise such
Person's legal liability in full, then such obligations shall be deemed to be in
an amount equal to the greater of (a) the lesser of (1) the full amount of such
obligations and (2) the fair market value of such assets, as determined in good
faith by the Board of Directors of such Person, which determination shall be
evidenced by a Board Resolution, and (b) the amount of obligations as have been
assumed by such Person or which are otherwise such Person's legal liability),
and (vii) all Indebtedness of others (other than endorsements in the ordinary
course of business) guaranteed by such Person to the extent of such guarantee.
 
     "Joint Venture" means any partnership, corporation or other entity in which
up to and including 50 percent of the partnership interests, outstanding voting
stock or other equity interests is owned, directly or indirectly, by Noble
Drilling and/or one or more Subsidiaries.
 
     "Lien" means any mortgage, pledge, lien, encumbrance, charge or security
interest. For purposes of the Senior Indenture, Noble Drilling or any Subsidiary
shall be deemed to own subject to a Lien any asset which it has acquired or
holds subject to the interest of a vendor or lessor under any conditional sale
agreement, Capitalized Lease Obligation or other title retention agreement
relating to such asset.
 
     "Pari Passu Indebtedness" means any Indebtedness of us, whether outstanding
on the issue date of the notes or thereafter created, incurred or assumed,
unless, in the case of any particular Indebtedness, the instrument creating or
evidencing the same or pursuant to which the same is outstanding expressly
provides that such Indebtedness shall be subordinated in right of payment to the
notes.
 
     "Principal Property" means any drilling rig or drillship, or integral
portion thereof, owned or leased by Noble Drilling or any Subsidiary and used
for drilling offshore oil and gas wells, which, in the opinion of the Board of
Directors, is of material importance to the business of Noble Drilling and its
Subsidiaries taken as a whole, but no such drilling rig or drillship, or portion
thereof, shall be deemed of material importance if its net book value (after
deducting accumulated depreciation) is less than two percent of Consolidated Net
Tangible Assets.
 
     "Sale/Leaseback Transaction" means any arrangement with any Person pursuant
to which Noble Drilling or any Subsidiary leases any Principal Property that has
been or is to be sold or transferred by Noble Drilling or the Subsidiary to such
Person, other than (1) temporary leases for a term, including renewals at the
option of the lessee, of not more than five years, (2) leases between Noble
Drilling and a Subsidiary or between Subsidiaries, (3) leases of Principal
Property executed by the time of, or within 12 months after the latest of, the
acquisition, the completion of construction or improvement, or the commencement
of
 
                                      S-22
<PAGE>   23
 
commercial operation of the Principal Property, and (4) arrangements pursuant to
any provision of law with an effect similar to the former Section 168(f) of the
Internal Revenue Code of 1954.
 
     "Subsidiary" means, with respect to Noble Drilling at any date, any
corporation, limited liability company, partnership, association or other entity
the accounts of which would be consolidated with those of Noble Drilling in
Noble Drilling's consolidated financial statements if such financial statements
were prepared in accordance with generally accepted accounting principles as of
such date, as well as any other corporation, limited liability company,
partnership, association or other entity (a) of which securities or other
ownership interests representing more than 50 percent of the equity or more than
50 percent of the ordinary voting power or, in the case of a partnership, more
than 50 percent of the general partnership interests are, as of such date,
owned, controlled or held, or (b) that is, as of such date, otherwise
controlled, by Noble Drilling or one or more subsidiaries of Noble Drilling.
 
DISCHARGE AND DEFEASANCE
 
     The terms of the notes provide that we will be permitted to terminate
certain of our obligations under the Senior Indenture, including the covenants
described above under "-- Certain Covenants," pursuant to the Senior Indenture's
covenant defeasance provisions only if we deliver to the Trustee an opinion of
counsel that covenant defeasance will not cause holders of the notes to
recognize income, gain or loss for United States federal income tax purposes.
 
     The terms of the notes also provide for legal defeasance. Legal defeasance
is permitted only if we shall have received from, or there shall have been
published by, the United States Internal Revenue Service a ruling to the effect
that legal defeasance will not cause holders of the notes to recognize income,
gain or loss for United States federal income tax purposes.
 
     For additional information with respect to the provisions of the Senior
Indenture regarding covenant defeasance and legal defeasance, see "Description
of Debt Securities -- Defeasance" on page 9 of the accompanying prospectus.
 
BOOK-ENTRY SYSTEMS
 
     Each of the 2009 notes and the 2019 notes will be issued in fully
registered form initially in the name of Cede & Co., as nominee of The
Depository Trust Company ("DTC"). One or more fully registered certificates will
be issued as global notes for the 2009 notes in the aggregate principal amount
of the 2009 notes, and one or more fully registered certificates will be issued
as global notes for the 2019 notes in the aggregate principal amount of the 2019
notes. Such global notes will be deposited with DTC and may not be transferred
except as a whole by DTC to a nominee of DTC or by a nominee of DTC to DTC or
another nominee of DTC or by DTC or any nominee to a successor of DTC or a
nominee of such successor.
 
     DTC has advised us and the Underwriters as follows:
 
     DTC is a limited-purpose trust company organized under the New York Banking
Law, a "banking organization" under the New York Banking Law, a member of the
Federal Reserve System, a "clearing corporation" within the meaning of the New
York Uniform Commercial Code, and a "clearing agency" registered pursuant to the
provisions of Section 17A of the Securities Exchange Act of 1934, as amended.
DTC holds securities that its participants ("Direct Participants") deposit with
DTC. DTC also facilitates the clearance and settlement among Direct Participants
of securities transactions, such as transfers and pledges, in deposited
securities, through electronic computerized book-entry changes in Direct
Participants' accounts, thereby eliminating the need for physical movement of
securities certificates.
 
     Direct Participants include securities brokers and dealers, banks, trust
companies, clearing corporations, and certain other organizations. DTC is owned
by a number of its Direct Participants and by the New York Stock Exchange, Inc.,
the American Stock Exchange, Inc. and the National Association of Securities
Dealers, Inc. Access to the DTC system is also available to others such as
securities brokers and dealers, banks, and trust companies that clear through or
maintain a custodial relationship with a Direct Participant, either
 
                                      S-23
<PAGE>   24
 
directly or indirectly ("Indirect Participants"). The rules applicable to DTC
and its Direct Participants are on file with the Securities and Exchange
Commission.
 
     Purchases of notes under the DTC system must be made by or through Direct
Participants, which will receive a credit for the notes on DTC's records. The
ownership of interest of each actual purchaser of notes ("Beneficial Owner") is
in turn to be recorded on the Direct and Indirect Participants' records.
Beneficial Owners will not receive written confirmation from DTC of their
purchase, but Beneficial Owners are expected to receive written confirmations
providing details of the transaction, as well as periodic statements of their
holdings, from the Direct and Indirect Participant through which the Beneficial
Owner entered into the transaction. Transfers of ownership interests in the
notes are to be accomplished by entries made on the books of Direct Participants
acting on behalf of Beneficial Owners. Beneficial Owners will not receive
certificates representing their ownership interests in the notes, except in the
event that use of the book-entry system for the notes is discontinued.
 
     To facilitate subsequent transfers, all notes deposited by Direct
Participants with DTC are registered in the name of DTC's partnership nominee,
Cede & Co. The deposit of notes with DTC and their registration in the name of
Cede & Co. effect no change in beneficial ownership. DTC has no knowledge of the
actual Beneficial Owners of the notes; DTC's records reflect only the identity
of the Direct Participants to whose accounts such notes are credited, which may
or may not be the Beneficial Owners. The Direct Participants will remain
responsible for keeping account of their holdings on behalf of their customers.
 
     Conveyance of notices and other communications by DTC to Direct
Participants, by Direct Participants to Indirect Participants, and by Direct
Participants and Indirect Participants to Beneficial Owners will be governed by
arrangements among them, subject to any statutory or regulatory requirements as
may be in effect from time to time.
 
     Redemption notices shall be sent to DTC. If less than all of the 2009 notes
or the 2019 notes are being redeemed, DTC's practice is to determine by lot the
amount of the interest of each Direct Participant in such issue to be redeemed.
 
     Neither DTC nor Cede & Co. will consent or vote with respect to the global
notes. Under its usual procedures, DTC mails an omnibus proxy to the issuer as
soon as possible after the record date. The omnibus proxy assigns Cede & Co.'s
consenting or voting rights to those Direct Participants to whose accounts the
notes are credited on the record date (identified in the listing attached to the
omnibus proxy).
 
     Principal and interest payments on the global notes will be made to Cede &
Co., as nominee of DTC. We expect that DTC, upon receipt of any payment of
principal, premium or interest in respect of the global notes, will credit
immediately Direct Participants' accounts with payments in amounts proportionate
to their respective beneficial interests in the principal amount of such global
notes as shown on DTC's records. We also expect that payments by Direct
Participants to Beneficial Owners will be governed by standing instructions and
customary practices, as is the case with securities held for the accounts of
customers in bearer form or registered in "street name," and will be the
responsibility of such Direct Participant and not of DTC, us or the Trustee,
subject to any statutory or regulatory requirements as may be in effect from
time to time.
 
     DTC may discontinue providing its service as securities depositary with
respect to the notes at any time by giving reasonable notice to us or the
Trustee. In addition, we may decide to discontinue use of the system of
book-entry transfers through DTC (or a successor securities depositary). Under
such circumstances, if a successor securities depositary is not obtained, notes
certificates in fully registered form are required to be printed and delivered
to Beneficial Owners of the global notes representing such notes.
 
     The information in this section concerning DTC and DTC's book-entry system
has been obtained from sources that we believe to be reliable (including DTC),
but we take no responsibility for the accuracy thereof.
 
     Neither we, the Trustee nor the Underwriters will have any responsibility
or obligation to Direct Participants, or the persons for whom they act as
nominees, with respect to the accuracy of the records of DTC, its nominee or any
Direct Participant with respect to any ownership interest in the notes, or
payments to, or the providing of notice to Direct Participants or Beneficial
Owners.
 
                                      S-24
<PAGE>   25
 
     The notes will trade in DTC's Same-Day Funds Settlement System and
secondary market trading activity in the notes will, therefore, settle in
immediately available funds. All applicable payments of principal, premium (if
any) and interest on the notes issued as global notes will be made by us in
immediately available funds.
 
     For other terms of the notes, see "Description of Debt Securities"
beginning on page 5 of the accompanying prospectus.
 
                                  UNDERWRITING
 
     Subject to the terms and conditions contained in the underwriting
agreement, dated March   , 1999, among us and the several underwriters, for whom
Merrill Lynch, Pierce, Fenner & Smith Incorporated and Salomon Smith Barney Inc.
are acting as representatives, named below, we have agreed to sell to the
underwriters, and the underwriters have severally agreed to purchase from us,
the aggregate principal amount of the notes set forth after its name below. The
obligations of the underwriters are subject to certain conditions. The
underwriters must purchase all of the notes if they purchase any.
 
<TABLE>
<CAPTION>
                                                               PRINCIPAL    PRINCIPAL
                                                               AMOUNT OF    AMOUNT OF
                        UNDERWRITER                            2009 NOTES   2019 NOTES
                        -----------                            ----------   ----------
<S>                                                            <C>          <C>
Merrill Lynch, Pierce, Fenner & Smith
             Incorporated...................................    $            $
Salomon Smith Barney Inc....................................
Howard, Weil, Labouisse, Friedrichs Incorporated............
First Union Capital Markets Corp............................
Simmons & Company International.............................
Dain Rauscher Wessels
  a division of Dain Rauscher Incorporated..................
Jefferies & Company, Inc....................................
Morgan Keegan & Company, Inc................................
The Robinson-Humphrey Company, Inc..........................
PaineWebber Incorporated....................................
                                                                --------     --------
             Total..........................................    $            $
                                                                ========     ========
</TABLE>
 
     The underwriters have advised us that they propose initially to offer the
notes to the public at the public offering price set forth on the cover page of
this prospectus supplement, and to certain dealers at such price less a
concession not in excess of   % of the principal amount of the 2009 notes and
  % of the principal amount of the 2019 notes. The underwriters may allow, and
such dealers may reallow, a discount not in excess of   % of the principal
amount of the 2009 notes and   % of the principal amount of the 2019 notes to
certain other dealers. After the initial public offering, the public offering
price, concession and discount may be changed.
 
     Each of the 2009 notes and the 2019 notes are a new issue of securities
with no established trading market. We do not intend to apply for listing of the
notes on a national securities exchange. We have been advised by the
representatives that they intend to make a market in the notes, but they are not
obligated to do so and may discontinue market-making at any time without notice.
We can provide no assurance as to the liquidity of, or any trading market for,
the notes.
 
     In connection with the offering, the underwriters are permitted to engage
in certain transactions that stabilize the price of the notes in accordance with
Regulation M under the Securities Act of 1934, as amended. Such transactions
consist of bids or purchases for the purpose of pegging, fixing or maintaining
the price of the notes. If the underwriters create a short position in the notes
in connection with the offering, i.e., if they sell a greater aggregate
principal amount of notes than is set forth on the cover of this prospectus
supplement, the underwriters may reduce that short position by purchasing notes
in the open market. In general, purchases of a security for the purpose of
stabilization or to reduce a short position could cause the
 
                                      S-25
<PAGE>   26
 
price of the security to be higher than it might be in the absence of such
purchases. Such activities, if commenced, may be discontinued at any time.
 
     Neither we nor any underwriter makes any representation or prediction as to
the direction or magnitude of any effect that the transactions described above
may have on the price of the notes. In addition, neither we nor any underwriter
makes any representation that the underwriters will engage in such transactions
or that such transactions, once commenced, will not be discontinued without
notice.
 
     We have agreed to indemnify the underwriters against certain liabilities,
including liabilities under the Securities Act of 1933, as amended, or if
indemnification is not allowed, to contribute to payments the underwriters may
be required to make because of those liabilities.
 
     In the ordinary course of business, certain of the underwriters and their
affiliates have from time to time provided investment banking and financial
advisory services to us and have also acted as representatives of various other
underwriters in connection with public offerings of our common stock and debt
securities. Merrill Lynch & Co. and Salomon Smith Barney Inc. are acting as
co-dealer managers for our current tender offer for our 9 1/8% Senior Notes due
2006. In addition, some of the underwriters and their affiliates may hold 2006
notes which may be tendered to Noble Drilling in the tender offer. Those
underwriters, or their affiliates, which tender their 2006 notes will receive a
portion of the net proceeds of the offering of the notes.
 
     We estimate that we will spend $350,000 for fees and expenses associated
with the offering of the notes.
 
                                 LEGAL MATTERS
 
     In addition to the legal opinions referred to under "Legal Matters" in the
accompanying prospectus, certain legal matters in connection with the offering
of the notes will be passed upon for the underwriters by Andrews & Kurth L.L.P.,
Houston, Texas.
 
                                      S-26
<PAGE>   27
 
PROSPECTUS
 
                                  $400,000,000
                                                                          [LOGO]
                                DEBT SECURITIES
                                  COMMON STOCK
                                PREFERRED STOCK
                                    WARRANTS
 
                           NOBLE DRILLING CORPORATION
                             ----------------------
 
     We may offer from time to time (1) unsecured debt securities consisting of
senior notes and debentures and subordinated notes and debentures and/or other
unsecured evidences of indebtedness in one or more series; (2) shares of common
stock; (3) shares of preferred stock, in one or more series, which may be
convertible into or exchangeable for common stock or debt securities; and (4)
warrants to purchase debt securities, preferred stock, common stock or other
securities.
 
     The aggregate initial offering price of the securities that we offer will
not exceed $400,000,000. We will offer the securities in amounts, at prices and
on terms to be determined by market conditions at the time of our offerings.
 
     We will provide the specific terms of the securities in supplements to this
Prospectus. You should read this Prospectus and the Prospectus Supplements
carefully before you invest in any of our securities. This Prospectus may not be
used to consummate sales of our securities unless it is accompanied by a
Prospectus Supplement.
 
                             ----------------------
 
     BEFORE INVESTING IN OUR SECURITIES, YOU SHOULD REVIEW THE "RISK FACTORS"
SECTION OF THIS PROSPECTUS BEGINNING ON PAGE 3.
 
                             ----------------------
 
     Neither the Securities and Exchange Commission nor any state securities
commission has approved of the securities to be issued under this Prospectus or
determined if this Prospectus is accurate or adequate. Any representation to the
contrary is a criminal offense.
 
                             ----------------------
 
     The information in this Prospectus is incomplete and may be changed. We may
not sell these securities until the registration statement filed with the
Securities and Exchange Commission is effective. This Prospectus is not an offer
to sell these securities and it is not soliciting an offer to buy these
securities in any state where the offer or sale is not permitted. We may not use
this Prospectus to sell securities unless we also give prospective investors a
Prospectus Supplement.
 
                             ----------------------
 
                     THIS PROSPECTUS IS DATED MARCH 5, 1999
<PAGE>   28
 
                             ABOUT THIS PROSPECTUS
 
     This Prospectus is part of a registration statement that we filed with the
Securities and Exchange Commission (the "SEC") utilizing a "shelf" registration
process. Under this shelf process, we may, over the next two years, sell
different types of the securities described in this Prospectus in one or more
offerings up to a total offering amount of $400,000,000. This Prospectus
provides you with a general description of the securities we may offer. Each
time we sell securities, we will provide a Prospectus Supplement that will
contain specific information about the terms of that offering and the securities
offered by us in that offering. The Prospectus Supplement may also add, update
or change information contained in this Prospectus. You should read both this
Prospectus and any Prospectus Supplement together with additional information
described under the next heading.
 
                      WHERE YOU CAN FIND MORE INFORMATION
 
     We file annual, quarterly and special reports, proxy statements and other
information with the SEC. Our SEC filings are available to the public over the
Internet at the SEC's web site at http://www.sec.gov. You may also read and copy
any document we file at the SEC's public reference rooms in Washington, D.C.,
New York, New York and Chicago, Illinois. Please call the SEC at 1-800-SEC-0330
for further information on the public reference rooms.
 
     The SEC allows us to "incorporate by reference" the information we file
with them, which means that we can disclose important information to you by
referring you to those documents. The information incorporated by reference is
an important part of this Prospectus, and information that we file later with
the SEC will automatically update and supersede this information. We incorporate
by reference the documents listed below and any future filings we make with the
SEC under Sections 13(a), 13(c), 14, or 15(d) of the Securities Exchange Act of
1934 until our offering is completed.
 
     - Annual Report on Form 10-K for the year ended December 31, 1998; and
 
     - The descriptions of our Common Stock and Preferred Stock Purchase Rights
       contained in our Registration Statements filed under Section 12 of the
       Securities Exchange Act of 1934.
 
     You may request a copy of these filings, at no cost, by writing or
telephoning us at the following address:
 
        Julie J. Robertson
        Vice President-Administration and Corporate Secretary
        Noble Drilling Corporation
        10370 Richmond Avenue, Suite 400
        Houston, Texas 77042
        (713) 974-3131
 
     You should rely only on the information incorporated by reference or
provided in this Prospectus or any Prospectus Supplement. We have not authorized
anyone else to provide you with different information. We are not making an
offer of these securities in any state where the offer is not permitted. You
should not assume that the information in this Prospectus or any Prospectus
Supplement is accurate as of any date other than the date on the front of those
documents.
 
                                        2
<PAGE>   29
 
                                  THE COMPANY
 
     We are a leading provider of diversified services for the oil and gas
industry. Contract drilling services are performed with our fleet of 47 offshore
drilling units located in key markets worldwide. Our fleet of floating deepwater
units consists of nine semisubmersibles and three dynamically positioned
drillships, seven of which are designed to operate in water depths greater than
5,000 feet. Our fleet of 32 jackup rigs includes 19 premium units that operate
in water depths of 300 feet and greater, four of which operate in water depths
of 360 feet and greater. In addition, our fleet includes three submersible
drilling units. Ten of our drilling units are capable of operating in harsh
environments. Over 60 percent of the fleet is currently deployed in
international markets, principally including the North Sea, Africa, Brazil, the
Middle East and Mexico. We also provide engineering and production management
services and turnkey drilling services.
 
     Noble Drilling was organized as a Delaware corporation in 1939. Noble
Drilling 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.
 
     Under our EVA-4000(TM) program, we have been converting submersible units
to semisubmersible units. We have completed two such conversions, the Noble Paul
Romano and the Noble Paul Wolff, and we expect to complete and deliver three
other converted units, the Noble Jim Thompson, Noble Amos Runner and Noble Max
Smith, in 1999. In addition, we are substantially upgrading one of our
semisubmersibles. These conversion projects are part of our strategy to increase
the number of rigs in our fleet capable of drilling in deeper water.
 
                                  RISK FACTORS
 
     Investing in our securities involves a certain amount of risk. You should
carefully consider the following factors, among others, before deciding to
invest.
 
DEPENDENCE ON THE OIL AND GAS INDUSTRY
 
     Our results of operations depend on the levels of activity in offshore oil
and gas exploration, development and production in markets worldwide. Both
short-term and long-term trends in oil and gas affect that activity. During the
second quarter of 1998, demand for offshore drilling rigs in the U.S. Gulf of
Mexico began to soften. As a result, rig utilization and dayrates have declined,
starting in mid-1998 domestically and later in 1998 internationally. We believe
this decreased demand is largely attributable to depressed oil prices that began
declining in 1997 and have remained at low levels as compared to average prices
in recent years. Continued softness in the demand for drilling services will
adversely affect our ability to renew drilling contracts.
 
     Oil and gas prices and market expectations of potential changes in these
prices significantly affect the level of activity in oil and gas exploration,
development and production. These market prices are extremely volatile. Demand
for drilling services depends on a variety of political and economic factors,
including worldwide demand for oil and gas, the ability of the Organization of
Petroleum Exporting Countries ("OPEC") to set and maintain production levels and
pricing, the level of production of non-OPEC countries and the policies of the
various governments regarding exploration and development of their oil and gas
reserves.
 
     We believe that any decrease from current oil and gas prices, or extended
periods at current price levels, will further depress the level of exploration
and production activity and result in a corresponding decline in demand for our
services. Furthermore, the continued consolidation of the oil and gas industry,
as evidenced by the announcement and completion of several recent transactions,
has resulted in, and is likely to continue to result in, a reduction in the
amount of capital spent on exploration and production activities. This reduction
adversely affects the demand for our services. For these reasons, we cannot
predict the future level of demand for our drilling services or future
conditions in the offshore contract drilling industry.
 
                                        3
<PAGE>   30
 
RISKS OF MODIFICATION, REFURBISHMENT AND UPGRADE PROJECTS
 
     We have committed and intend to continue to commit a significant amount of
our capital resources to modify, refurbish and upgrade certain of our drilling
rigs. We have completed the upgrade of two of our shallow water submersible rigs
into EVA-4000(TM) design semisubmersible rigs and are similarly upgrading an
additional three submersible rigs. In addition, we are substantially upgrading
one of our semisubmersibles. These ongoing projects are subject to the risks of
delay or cost overruns inherent in large construction and refurbishment
projects, including shipyard availability, shortages of materials or skilled
labor, unforeseen engineering problems, work stoppages, weather interference,
unanticipated cost increases, nonavailability of necessary equipment and
inability to obtain any of the requisite permits or approvals. Significant
delays will hurt our marketing plans for such rigs and may jeopardize the
contracts or letters of intent we have negotiated for such rigs.
 
EARLY CONTRACT TERMINATIONS AND CONTRACT CANCELLATION
 
     Our term drilling contracts generally contain provisions permitting early
termination by the customer without cause upon a specified advance notice to us.
In reaction to depressed market conditions, our customers may seek to avoid or
reduce their obligations under term drilling contracts. A customer may no longer
need a rig, due to a reduction in its exploration, development or production
program, or it may seek to obtain a comparable rig at a lower dayrate.
 
                                USE OF PROCEEDS
 
     Unless we specify otherwise in the applicable Prospectus Supplement, the
net proceeds (after the payment of offering expenses and underwriting discounts
or commissions) we receive from the sale of the securities offered by this
Prospectus and any Prospectus Supplement will be used for general corporate
purposes. General corporate purposes may include any of the following:
 
     - funding capital expenditures;
 
     - repaying debt;
 
     - investing in or lending money to our subsidiaries;
 
     - providing working capital;
 
     - redeeming our preferred stock (currently, there is none outstanding); or
 
     - paying for possible acquisitions or the expansion of our businesses.
 
We may temporarily invest the net proceeds we receive from any offering of
securities or use the net proceeds to repay short-term debt until we can use
them for their stated purposes.
 
                       RATIO OF EARNINGS TO FIXED CHARGES
 
     The ratio of earnings to fixed charges for each of the periods indicated is
as follows:
 
<TABLE>
<CAPTION>
                                                         YEAR ENDED DECEMBER 31,
                                                    ----------------------------------
                                                    1994   1995   1996   1997    1998
                                                    ----   ----   ----   -----   -----
<S>                                                 <C>    <C>    <C>    <C>     <C>
Ratio of earnings to fixed charges................  3.1x   1.4x   6.0x   20.6x   10.2x
</TABLE>
 
     These computations include us and our subsidiaries, and companies in which
we own 50% or less of the outstanding equity. For these ratios, "earnings" is
determined by adding "total fixed charges" (excluding interest capitalized),
income taxes, minority common stockholders equity in net income and amortization
of interest capitalized to income from continuing operations after eliminating
equity in undistributed earnings and adding back losses of companies in which at
least 20% but less than 50% equity is owned. For this purpose,
 
                                        4
<PAGE>   31
 
"total fixed charges" consists of (1) interest on all indebtedness and
amortization of debt discount and expense, (2) interest capitalized and (3) an
interest factor attributable to rentals.
 
                         DESCRIPTION OF DEBT SECURITIES
 
     Any Debt Securities we offer will be our direct unsecured general
obligations. The Debt Securities will be either senior debt securities or
subordinated debt securities. The Debt Securities will be issued under one or
more separate indentures between us and Chase Bank of Texas, National
Association, as Trustee. Senior Debt Securities will be issued under a "Senior
Indenture" and Subordinated Debt Securities will be issued under a "Subordinated
Indenture". Together the Senior Indenture and the Subordinated Indenture are
called "Indentures".
 
     We have summarized selected provisions of the Indentures below. The summary
is not complete. The forms of the Indentures have been filed as exhibits to the
registration statement and you should read the Indentures for provisions that
may be important to you. In the summary below, we have included references to
section numbers of the applicable Indentures so that you can easily locate these
provisions. Capitalized terms used in the summary have the meanings specified in
the Indentures.
 
GENERAL
 
     The Debt Securities will be our direct, unsecured obligations. The Senior
Debt Securities will rank equally with all of our other senior and
unsubordinated debt. The Subordinated Debt Securities will have a junior
position to all of our Senior Debt.
 
     We conduct a substantial part of our operations through our subsidiaries.
To the extent of such operations, holders of Debt Securities will have a
position junior to the prior claims of creditors of our subsidiaries, including
trade creditors, debtholders, secured creditors, taxing authorities and
guarantee holders, and any preferred stockholders, except to the extent that we
may ourself be a creditor with recognized claims against any subsidiary. Our
ability to pay principal of and premium, if any, and interest on any Debt
Securities is, to a large extent, dependent upon the payment to us of dividends,
interest or other charges by our subsidiaries.
 
     Three of our subsidiaries recently borrowed $112.25 million, $145 million,
and $115 million, respectively, in connection with the Noble Paul Romano, Noble
Paul Wolff and Noble Jim Thompson conversions from submersibles to EVA-4000(TM)
semisubmersibles. The outstanding indebtedness for the Noble Paul Wolff and the
Noble Jim Thompson is guaranteed by us. The outstanding indebtedness for the
Noble Paul Romano is non-recourse to us and any of our subsidiaries other than
the subsidiary that issued the debt.
 
     A Prospectus Supplement and a supplemental indenture relating to any series
of Debt Securities being offered will include specific terms relating to the
offering. These terms will include some or all of the following:
 
     - The title and type of the Debt Securities;
 
     - The total principal amount of the Debt Securities;
 
     - The percentage of the principal amount at which the Debt Securities will
       be issued and any payments due if the maturity of the Debt Securities is
       accelerated;
 
     - The dates on which the principal of the Debt Securities will be payable;
 
     - The interest rate which the Debt Securities will bear and the interest
       payment dates for the Debt Securities;
 
     - Any optional redemption periods;
 
     - Any sinking fund or other provisions that would obligate us to repurchase
       or otherwise redeem some or all of the Debt Securities;
 
     - Any provisions granting special rights to holders when a specified event
       occurs;
                                        5
<PAGE>   32
 
     - Any changes to or additional Events of Defaults or covenants;
 
     - Any special tax implications of the Debt Securities, including provisions
       for Original Issue Discount Securities, if offered; and
 
     - Any other terms of the Debt Securities.
 
     None of the Indentures limits the amount of Debt Securities that may be
issued. Each Indenture allows Debt Securities to be issued up to the principal
amount that may be authorized by us and may be in any currency or currency unit
designated by us.
 
     Debt Securities of a series may be issued in registered, bearer, coupon or
global form. (Sections 201 & 203.)
 
DENOMINATIONS
 
     The Prospectus Supplement for each issuance of Debt Securities will state
whether the securities will be issued in registered form of $1,000 each or
multiples thereof or bearer form of $5,000 each.
 
SUBORDINATION
 
     Under the Subordinated Indenture, payment of the principal, interest and
any premium on the Subordinated Debt Securities will generally be subordinated
and junior in right of payment to the prior payment in full of all Senior Debt.
The Subordinated Indenture provides that no payment of principal, interest and
any premium on the Subordinated Debt Securities may be made in the event:
 
     - of any insolvency, bankruptcy or similar proceeding involving us or our
       property, or
 
     - we fail to pay the principal, interest, any premium or any other amounts
       on any Senior Debt when due.
 
     The Subordinated Indenture will not limit the amount of Senior Debt that we
may incur.
 
     "Senior Debt" is defined to include all notes or other unsecured evidences
of indebtedness, including guarantees given by us, for money borrowed by us, not
expressed to be subordinate or junior in right of payment to any of our other
indebtedness.
 
CONSOLIDATION, MERGER OR SALE
 
     Each Indenture generally permits a consolidation or merger between us and
another corporation. They also permit the sale by us of all or substantially all
of our property and assets. If this happens, the remaining or acquiring
corporation shall assume all of our responsibilities and liabilities under the
Indentures, including the payment of all amounts due on the Debt Securities and
performance of the covenants in the Indentures. However, we will consolidate or
merge with or into any other corporation or sell all or substantially all of our
assets only according to the terms and conditions of the Indentures. The
remaining or acquiring corporation will be substituted for us in the Indentures
with the same effect as if it had been an original party to the Indentures.
Thereafter, the successor corporation may exercise our rights and powers under
any Indenture, in our name or in its own name. Any act or proceeding required or
permitted to be done by our Board of Directors or any of our officers may be
done by the board or officers of the successor corporation. If we sell all or
substantially all of our assets, we shall be released from all our liabilities
and obligations under any Indenture and under the Debt Securities. (Sections 801
& 802.)
 
MODIFICATION OF INDENTURES
 
     Under each Indenture our rights and obligations and the rights of the
holders may be modified with the consent of the holders of a majority in
aggregate principal amount of the outstanding Debt Securities of each series
affected by the modification. No modification of the principal or interest
payment terms, and no modification reducing the percentage required for
modifications, is effective against any holder without its consent. (Sections
901 & 902.)
                                        6
<PAGE>   33
 
EVENTS OF DEFAULT
 
     "Event of Default" when used in an Indenture, will mean any of the
following:
 
     - failure to pay the principal of or any premium on any Debt Security when
       due;
 
     - failure to deposit any sinking fund payment when due;
 
     - failure to pay interest on any Debt Security for 30 days;
 
     - failure to perform any other covenant in the Indenture that continues for
       90 days after being given written notice;
 
     - certain events in bankruptcy, insolvency or reorganization of Noble
       Drilling; or
 
     - any other Event of Default included in any Indenture or supplemental
       indenture. (Section 501.)
 
     An Event of Default for a particular series of Debt Securities does not
necessarily constitute an Event of Default for any other series of Debt
Securities issued under an Indenture. The Trustee may withhold notice to the
holders of Debt Securities of any default (except in the payment of principal or
interest) if it considers such withholding of notice to be in the best interests
of the holders. (Section 602.)
 
     If an Event of Default for any series of Debt Securities occurs and
continues, the Trustee or the holders of at least 25% in aggregate principal
amount of the Debt Securities of the series may declare the entire principal of
all the Debt Securities of that series to be due and payable immediately. If
this happens, subject to certain conditions, the holders of a majority of the
aggregate principal amount of the Debt Securities of that series can void the
declaration. (Section 502.)
 
     Other than its duties in case of a default, a Trustee is not obligated to
exercise any of its rights or powers under any Indenture at the request, order
or direction of any holders, unless the holders offer the Trustee reasonable
indemnity. (Section 601.) If they provide this reasonable indemnification, the
holders of a majority in principal amount of any series of Debt Securities may
direct the time, method and place of conducting any proceeding or any remedy
available to the Trustee, or exercising any power conferred upon the Trustee,
for any series of Debt Securities. (Section 512.)
 
COVENANTS
 
     Under the Indentures, we will:
 
     - pay the principal of, and interest and any premium on, the Debt
       Securities when due;
 
     - maintain a place of payment;
 
     - deliver a report to the Trustee at the end of each fiscal year reviewing
       our obligations under the Indentures; and
 
     - deposit sufficient funds with any paying agent on or before the due date
       for any principal, interest or premium.
 
PAYMENT AND TRANSFER
 
     Principal, interest and any premium on fully registered securities will be
paid at designated places. Payment will be made by check mailed to the persons
in whose names the Debt Securities are registered on days specified in the
Indentures or any Prospectus Supplement. Debt Securities payments in other forms
will be paid at a place designated by us and specified in a Prospectus
Supplement. (Section 307.)
 
     Fully registered securities may be transferred or exchanged at the
corporate trust office of the Trustee or at any other office or agency
maintained by us for such purposes, without the payment of any service charge
except for any tax or governmental charge. (Section 1002.)
 
                                        7
<PAGE>   34
 
GLOBAL SECURITIES
 
     Certain series of the Debt Securities may be issued as permanent global
Debt Securities to be deposited with a depositary with respect to that series.
Unless otherwise indicated in the Prospectus Supplement, the following is a
summary of the depository arrangements applicable to Debt Securities issued in
permanent global form and for which The Depositary Trust Company ("DTC") acts as
depositary (the "Global Debt Securities").
 
     Each Global Debt Security will be deposited with, or on behalf of, DTC, as
depositary, or its nominee and registered in the name of a nominee of DTC.
Except under the limited circumstances described below, Global Debt Securities
are not exchangeable for definitive certificated Debt Securities.
 
     Ownership of beneficial interests in a Global Debt Security is limited to
institutions that have accounts with DTC or its nominee ("participants") or
persons that may hold interests through participants. In addition, ownership of
beneficial interests by participants in a Global Debt Security will be evidenced
only by, and the transfer of that ownership interest will be effected only
through, records maintained by DTC or its nominee for a Global Debt Security.
Ownership of beneficial interests in a Global Debt Security by persons that hold
through participants will be evidenced only by, and the transfer of that
ownership interest within that participant will be effected only through,
records maintained by that participant. DTC has no knowledge of the actual
beneficial owners of the Debt Securities. Beneficial owners will not receive
written confirmation from DTC of their purchase, but beneficial owners are
expected to receive written confirmations providing details of the transaction,
as well as periodic statements of their holdings, from the participants through
which the beneficial owners entered the transaction. The laws of some
jurisdictions require that certain purchasers of securities take physical
delivery of such securities in definitive form. Such laws may impair the ability
to transfer beneficial interests in a Global Debt Security.
 
     Payment of principal of, and interest on, Debt Securities represented by a
Global Debt Security registered in the name of or held by DTC or its nominee
will be made to DTC or its nominee, as the case may be, as the registered owner
and holder of the Global Debt Security representing those Debt Securities. We
have been advised by DTC that upon receipt of any payment of principal of, or
interest on, a Global Debt Security, DTC will immediately credit accounts of
participants on its book-entry registration and transfer system with payments in
amounts proportionate to their respective beneficial interests in the principal
amount of that Global Debt Security as shown in the records of DTC. Payments by
participants to owners of beneficial interests in a Global Debt Security held
through those participants will be governed by standing instructions and
customary practices, as is now the case with securities held for the accounts of
customers in bearer form or registered in "street name", and will be the sole
responsibility of those participants, subject to any statutory or regulatory
requirements that may be in effect from time to time.
 
     Neither we, any Trustee nor any of our respective agents will be
responsible for any aspect of the records of DTC, any nominee or any participant
relating to, or payments made on account of, beneficial interests in a permanent
Global Debt Security or for maintaining, supervising or reviewing any of the
records of DTC, any nominee or any participant relating to such beneficial
interests.
 
     A Global Debt Security is exchangeable for definitive Debt Securities
registered in the name of, and a transfer of a Global Debt Security may be
registered to, any person other than DTC or its nominee, only if:
 
     - DTC notifies us that it is unwilling or unable to continue as depositary
       for that Global Debt Security or at any time DTC ceases to be registered
       under the Exchange Act;
 
     - we determine in our discretion that the Global Debt Security shall be
       exchangeable for definitive Debt Securities in registered form; or
 
     - there shall have occurred and be continuing an Event of Default or an
       event which, with notice or the lapse of time or both, would constitute
       an Event of Default under the Debt Securities.
 
     Any Global Debt Security that is exchangeable pursuant to the preceding
sentence will be exchangeable in whole for definitive Debt Securities in
registered form, of like tenor and of an equal aggregate principal
 
                                        8
<PAGE>   35
 
amount as the Global Debt Security, in denominations specified in the applicable
Prospectus Supplement (if other than $1,000 and integral multiples of $1,000).
The definitive Debt Securities will be registered by the registrar in the name
or names instructed by DTC. We expect that these instructions may be based upon
directions received by DTC from its participants with respect to ownership of
beneficial interests in the Global Debt Security.
 
     Except as provided above, owners of the beneficial interests in a Global
Debt Security will not be entitled to receive physical delivery of Debt
Securities in definitive form and will not be considered the holders of Debt
Securities for any purpose under the Indentures. No Global Debt Security shall
be exchangeable except for another Global Debt Security of like denomination and
tenor to be registered in the name of DTC or its nominee. Accordingly, each
person owning a beneficial interest in a Global Debt Security must rely on the
procedures of DTC and, if that person is not a participant, on the procedures of
the participant through which that person owns its interest, to exercise any
rights of a holder under the Global Debt Security or the Indentures.
 
     We understand that, under existing industry practices, in the event that we
request any action of holders, or an owner of a beneficial interest in a Global
Debt Security desires to give or take any action that a holder is entitled to
give or take under the Debt Securities or the Indentures, DTC would authorize
the participants holding the relevant beneficial interests to give or take that
action, and those participants would authorize beneficial owners owning through
those participants to give or take that action or would otherwise act upon the
instructions of beneficial owners owning through them.
 
     DTC has advised us that DTC is a limited purpose trust company organized
under the laws of the State of New York, a "banking organization" within the
meaning of the New York Banking Law, a member of the Federal Reserve System, a
"clearing corporation" within the meaning of the New York Uniform Commercial
Code and a "clearing agency" registered under the Exchange Act. DTC was created
to hold securities of its participants and to facilitate the clearance and
settlement of securities transactions among its participants in those securities
through electronic book-entry changes in accounts of the participants, thereby
eliminating the need for physical movement of securities certificates. DTC's
participants include securities brokers and dealers, banks, trust companies,
clearing corporations and certain other organizations. DTC is owned by a number
of its participants and by the New York Stock Exchange, Inc., the American Stock
Exchange, Inc. and the National Association of Securities Dealers, Inc. Access
to DTC's book-entry system is also available to others, such as banks, brokers,
dealers and trust companies that clear through or maintain a custodial
relationship with a participant, either directly or indirectly. The rules
applicable to DTC and its participants are on file with the SEC.
 
DEFEASANCE
 
     We will be discharged from our obligations on the Debt Securities of any
series at any time if we deposit with the Trustee sufficient cash or government
securities to pay the principal, interest, any premium and any other sums due to
the stated maturity date or a redemption date of the Debt Securities of the
series. If this happens, the holders of the Debt Securities of the series will
not be entitled to the benefits of the Indenture except for registration of
transfer and exchange of Debt Securities and replacement of lost, stolen or
mutilated Debt Securities. (Section 401.)
 
     Under Federal income tax law as of the date of this Prospectus, a discharge
may be treated as an exchange of the related Debt Securities. Each holder might
be required to recognize gain or loss equal to the difference between the
holder's cost or other tax basis for the Debt Securities and the value of the
holder's interest in the trust. Holders might be required to include as income a
different amount than would be includable without the discharge. Prospective
investors are urged to consult their own tax advisers as to the consequences of
a discharge, including the applicability and effect of tax laws other than the
Federal income tax law.
 
                                        9
<PAGE>   36
 
MEETINGS
 
     Each Indenture contains provisions describing how meetings of the Holders
of Debt Securities of a series may be convened. A meeting may be called at any
time by the Trustee, and also, upon request, by us or the Holders of at least
10% in principal amount of the outstanding Debt Securities of a series. A notice
of the meeting must always be given in the manner described under "-- Notices"
below. Generally speaking, except for any consent that must be given by all
Holders of a series as described under "-- Modification of Indentures" above,
any resolution presented at a meeting of the Holders of a series of Debt
Securities may be adopted by the affirmative vote of the Holders of a majority
in principal amount of the outstanding Debt Securities of that series, unless
the Indenture allows the action to be voted upon to be taken with the approval
of the Holders of a different specific percentage of principal amount of
outstanding Debt Securities of a series. In that case, the Holders of
outstanding Debt Securities of at least the specified percentage must vote in
favor of the action. Any resolution passed or decision taken at any meeting of
Holders of Debt Securities of any series in accordance with the applicable
Indenture will be binding on all Holders of Debt Securities of that series and
any related coupons, unless, as discussed in "-- Modification of Indentures"
above, the action is only effective against Holders that have approved it. The
quorum at any meeting called to adopt a resolution, and at any reconvened
meeting, will be Holders holding or representing a majority in principal amount
of the outstanding Debt Securities of a series.
 
GOVERNING LAW
 
     Each Indenture and the Debt Securities will be governed by and construed in
accordance with the laws of the State of New York.
 
NOTICES
 
     Notices to Holders of Debt Securities will be given by mail to the
addresses of such Holders as they appear in the Security Register.
 
                          DESCRIPTION OF CAPITAL STOCK
 
GENERAL
 
     As of the date of this Prospectus, we are authorized to issue up to
215,000,000 shares of stock, including up to 200,000,000 shares of Common Stock
and up to 15,000,000 shares of Preferred Stock. As of January 31, 1999, we had
131,142,198 shares of Common Stock and no shares of Preferred Stock outstanding.
As of that date, we also had approximately 7,622,676 shares of Common Stock
reserved for issuance upon exercise of options or in connection with other
awards outstanding under various employee or director incentive, compensation
and option plans. In addition, we have reserved for issuance shares of Common
Stock for our matching fund obligations under our 401(k) savings plan and
employee retirement plans.
 
     The following summary is not complete. You should refer to the applicable
provisions of our Certificate of Incorporation, the Delaware General Corporation
Law and the documents we have incorporated by reference for a complete statement
of the terms and rights of our capital stock.
 
COMMON STOCK
 
     Voting Rights. Each Holder of Common Stock is entitled to one vote per
share. Subject to the rights, if any, of the holders of any series of Preferred
Stock pursuant to applicable law or the provision of the Certificate of
Designations creating that series, all voting rights are vested in the holders
of shares of Common Stock. Holders of shares of Common Stock have noncumulative
voting rights, which means that the holders of more than 50% of the shares
voting for the election of directors can elect 100% of the directors, and the
holders of the remaining shares voting for the election of directors will not be
able to elect any directors.
 
                                       10
<PAGE>   37
 
     Dividends. Dividends may be paid to the holders of Common Stock when, as
and if declared by the Board of Directors out of funds legally available for
their payment, subject to the rights of holders of any Preferred Stock.
 
     Rights Upon Liquidation. In the event of our voluntary or involuntary
liquidation, dissolution or winding up, the holders of Common Stock will be
entitled to share equally in any of our assets available for distribution after
the payment in full of all debts and distributions and after the holders of all
series of outstanding Preferred Stock, if any, have received their liquidation
preferences in full.
 
     Miscellaneous. The issued and outstanding shares of Common Stock are fully
paid and nonassessable. Holders of shares of Common Stock are not entitled to
preemptive rights. Shares of Common Stock are not convertible into shares of any
other class of capital stock. UMB Bank, NA, Kansas City, Missouri, is the
transfer agent and registrar for the Common Stock. The Common Stock is listed on
the New York Stock Exchange under the symbol "NE."
 
PREFERRED STOCK AND DEPOSITARY SHARES
 
     We may issue shares of our Preferred Stock in one or more series. We will
determine the dividend, voting, conversion and other rights of the series being
offered and the terms and conditions relating to its offering and sale at the
time of the offer and sale. We may also issue fractional shares of Preferred
Stock that will be represented by Depositary Shares and Depositary Receipts.
 
  Description of Preferred Stock.
 
     The Certificate of Incorporation authorizes the Board of Directors or a
committee of the Board of Directors to cause Preferred Stock to be issued in one
or more series, without stockholder action. The Board of Directors is authorized
to issue up to 15,000,000 shares of Preferred Stock, and can determine the
number of shares of each series, and the rights, preferences and limitations of
each series. We may amend the Certificate of Incorporation to increase the
number of authorized shares of Preferred Stock in a manner permitted by the
Certificate of Incorporation and the Delaware General Corporation Law. As of the
date of this Prospectus, we have no shares of Preferred Stock outstanding.
 
     The particular terms of any series of Preferred Stock being offered by us
under this shelf registration will be described in the Prospectus Supplement
relating to that series of Preferred Stock. Those terms may include:
 
     - the number of shares of the series of Preferred Stock being offered;
 
     - the title and liquidation preference per share of that series of the
       Preferred Stock;
 
     - the purchase price of the Preferred Stock;
 
     - the dividend rate (or method for determining such rate);
 
     - the dates on which dividends will be paid;
 
     - whether dividends on that series of Preferred Stock will be cumulative or
       non-cumulative and, if cumulative, the dates from which dividends shall
       commence to accumulate;
 
     - any redemption or sinking fund provisions applicable to that series of
       Preferred Stock;
 
     - any conversion provisions applicable to that series of Preferred Stock;
 
     - whether we have elected to offer Depositary Shares with respect to that
       series of Preferred Stock; or
 
     - any additional dividend, liquidation, redemption, sinking fund and other
       rights and restrictions applicable to that series of Preferred Stock.
 
     If the terms of any series of Preferred Stock being offered differ from the
terms set forth below, those terms will also be disclosed in the Prospectus
Supplement relating to that series of Preferred Stock. The following summary is
not complete. You should refer to the Certificate of Designations relating to
the series of
                                       11
<PAGE>   38
 
the Preferred Stock for the complete terms of that Preferred Stock. That
Certificate of Designations for any series of Preferred Stock will be filed with
the SEC promptly after the offering of that series of Preferred Stock.
 
     The Preferred Stock will, when issued, be fully paid and nonassessable.
Unless otherwise specified in the Prospectus Supplement, in the event we
liquidate, dissolve or wind-up our business, each series of Preferred Stock will
have the same rank as to dividends and distributions as each other series of the
Preferred Stock we may issue in the future. The Preferred Stock will have no
preemptive rights.
 
     Dividend Rights. Holders of Preferred Stock of each series will be entitled
to receive, when, as and if declared by the Board of Directors, cash dividends
at the rates and on the dates set forth in the Prospectus Supplement. Dividend
rates may be fixed or variable or both. Different series of Preferred Stock may
be entitled to dividends at different dividend rates or based upon different
methods of determination. Each dividend will be payable to the holders of record
as they appear on our stock books (or, if applicable, the records of the
Depositary referred to below under "Depositary Shares") on record dates
determined by the Board of Directors. Dividends on any series of the Preferred
Stock may be cumulative or non-cumulative, as specified in the Prospectus
Supplement. If the Board of Directors fails to declare a dividend on any series
of Preferred Stock for which dividends are non-cumulative, then the right to
receive that dividend will be lost, and we will have no obligation to pay the
dividend for that dividend period, whether or not dividends are declared for any
future dividend period.
 
     No full dividends will be declared or paid on any series of Preferred
Stock, unless full dividends for the dividend period commencing after the
immediately preceding dividend payment date (and cumulative dividends still
owing, if any) have been or contemporaneously are declared and paid on all other
series of Preferred Stock which have the same rank as, or rank senior to, that
series of Preferred Stock. When those dividends are not paid in full, dividends
will be declared pro rata, so that the amount of dividends declared per share on
that series of Preferred Stock and on each other series of Preferred Stock
having the same rank as, or ranking senior to, that series of Preferred Stock
will in all cases bear to each other the same ratio that accrued dividends per
share on that series of Preferred Stock and the other Preferred Stock bear to
each other. In addition, generally, unless full dividends, including cumulative
dividends still owing, if any, on all outstanding shares of any series of
Preferred Stock have been paid, no dividends will be declared or paid on the
Common Stock and generally we may not redeem or purchase any Common Stock. No
interest, or sum of money in lieu of interest, will be paid in connection with
any dividend payment or payments which may be in arrears.
 
     The amount of dividends payable for each dividend period will be computed
by annualizing the applicable dividend rate and dividing by the number of
dividend periods in a year, except that the amount of dividends payable for the
initial dividend period or any period shorter than a full dividend period shall
be computed on the basis of a 360-day year consisting of twelve 30-day months
and, for any period less than a full month, the actual number of days elapsed in
the period.
 
     Rights Upon Liquidation. In the event we liquidate, dissolve or wind-up our
affairs, either voluntarily or involuntarily, the holders of each series of
Preferred Stock will be entitled to receive liquidating distributions in the
amount set forth in the Prospectus Supplement relating to each series of
Preferred Stock, plus an amount equal to accrued and unpaid dividends, if any,
before any distribution of assets is made to the holders of Common Stock. If the
amounts payable with respect to Preferred Stock of any series and any stock
having the same rank as that series of Preferred Stock are not paid in full, the
holders of Preferred Stock and of such other stock will share ratably in any
such distribution of assets in proportion to the full respective preferential
amounts to which they are entitled. After the holders of each series of
Preferred Stock and any stock having the same rank as the Preferred Stock are
paid in full, they will have no right or claim to any of our remaining assets.
Neither the sale of all or substantially all our property or business nor a
merger or consolidation by us with any other corporation will be considered a
dissolution, liquidation or winding up by us of our business or affairs.
 
     Redemption. Any series of Preferred Stock may be redeemable, in whole or in
part, at our option. In addition, any series of Preferred Stock may be subject
to mandatory redemption pursuant to a sinking fund.
 
                                       12
<PAGE>   39
 
The redemption provisions that may apply to a series of Preferred Stock,
including the redemption dates and the redemption prices for that series, will
be set forth in the Prospectus Supplement.
 
     If a series of Preferred Stock is subject to mandatory redemption, the
Prospectus Supplement will specify the year we can begin to redeem shares of the
Preferred Stock, the number of shares of the Preferred Stock we can redeem each
year, and the redemption price per share. We may pay the redemption price in
cash, stock or in cash that we have received specifically from the sale of our
capital stock, as specified in the Prospectus Supplement. If the redemption
price is to be paid only from the proceeds of the sale of our capital stock, the
terms of the series of Preferred Stock may also provide that, if no such capital
stock is sold or if the amount of cash received is insufficient to pay in full
the redemption price then due, the series of Preferred Stock will automatically
be converted into shares of the applicable capital stock pursuant to conversion
provisions specified in the Prospectus Supplement.
 
     If fewer than all the outstanding shares of any series of Preferred Stock
are to be redeemed, whether by mandatory or optional redemption, the Board of
Directors will determine the method for selecting the shares to be redeemed,
which may be by lot or pro rata or by any other method determined to be
equitable. From and after the redemption date, dividends will cease to accrue on
the shares of Preferred Stock called for redemption and all rights of the
holders of those shares (except the right to receive the redemption price) will
cease.
 
     In the event that full dividends, including accrued but unpaid dividends,
if any, have not been paid on any series of Preferred Stock, we may not redeem
that series in part and we may not purchase or acquire any shares of that series
of Preferred Stock, except by an offer made on the same terms to all holders of
that series of Preferred Stock.
 
     Conversion Rights. The Prospectus Supplement will state the terms, if any,
on which shares of a series of Preferred Stock are convertible into shares of
Common Stock or another series of our Preferred Stock. As described under
"-- Redemption" above, under certain circumstances, Preferred Stock may be
mandatorily converted into Common Stock or another series of our Preferred
Stock.
 
     Voting Rights. Except as indicated below or in the Prospectus Supplement,
or except as expressly required by applicable law, the holders of Preferred
Stock will not be entitled to vote. Except as indicated in the Prospectus
Supplement, in the event we issue full shares of any series of Preferred Stock,
each share will be entitled to one vote on matters on which holders of that
series of Preferred Stock are entitled to vote. However, as more fully described
below under "-- Description of Depositary Shares", if we issue Depositary Shares
representing a fraction of a share of a series of Preferred Stock, each
Depositary Share will, in effect, be entitled to that fraction of a vote, rather
than a full vote. Because each full share of any series of Preferred Stock will
be entitled to one vote, the voting power of that series will depend on the
number of shares in that series, and not on the aggregate liquidation preference
or initial offering price of the shares of that series of Preferred Stock.
 
     Transfer Agent and Registrar. UMB Bank, NA, Kansas City, Missouri, will be
the transfer agent, registrar and dividend disbursement agent for the Preferred
Stock and any Depositary Shares (see the description of Depositary Shares
below). The registrar for the Preferred Stock will send notices to the holders
of the Preferred Stock of any meetings at which such holders will have the right
to elect directors or to vote on any other matter.
 
  Description of Depositary Shares.
 
     General. We may, at our option, elect to offer fractional shares of
Preferred Stock, rather than full shares of Preferred Stock. If we do, we will
issue to the public receipts for Depositary Shares, and each of these Depositary
Shares will represent a fraction (to be set forth in the Prospectus Supplement)
of a share of a particular series of Preferred Stock.
 
     The shares of any series of Preferred Stock underlying the Depositary
Shares will be deposited under a Deposit Agreement (the "Deposit Agreement")
between us and a bank or trust company selected by us (the "Depositary").
Subject to the terms of the Deposit Agreement, each owner of a Depositary Share
will be
                                       13
<PAGE>   40
 
entitled, in proportion to the applicable fractional interest in shares of
Preferred Stock underlying that Depositary Share, to all the rights and
preferences of the Preferred Stock underlying that Depositary Share. Those
rights include dividend, voting, redemption, conversion and liquidation rights.
 
     The Depositary Shares will be evidenced by depositary receipts issued
pursuant to the Deposit Agreement ("Depositary Receipts"). Depositary Receipts
will be issued to those persons who purchase the fractional interests in the
Preferred Stock underlying the Depositary Shares, in accordance with the terms
of the offering. Copies of the forms of Deposit Agreement and Depositary Receipt
are filed as exhibits to the registration statement. The following summary of
the Deposit Agreement, the Depositary Shares and the Depositary Receipts is not
complete. You should refer to the forms of the Deposit Agreement and Depositary
Receipts that are filed as exhibits to the registration statement.
 
     Dividends and Other Distributions. The Depositary will distribute all cash
dividends or other cash distributions received in respect of the Preferred Stock
to the record holders of Depositary Shares relating to that Preferred Stock in
proportion to the number of Depositary Shares owned by those holders.
 
     If there is a distribution other than in cash, the Depositary will
distribute property received by it to the record holders of Depositary Shares
that are entitled to receive the distribution, unless the Depositary determines
that it is not feasible to make the distribution. If this occurs, the Depositary
may, with our approval, sell the property and distribute the net proceeds from
the sale to the applicable holders.
 
     Redemption of Depositary Shares. If a series of Preferred Stock underlying
the Depositary Shares is subject to redemption, the Depositary Shares will be
redeemed from the proceeds received by the Depositary resulting from the
redemption, in whole or in part, of that series of Preferred Stock held by the
Depositary. The redemption price per Depositary Share will be equal to the
applicable fraction of the redemption price per share payable with respect to
that series of the Preferred Stock. Whenever we redeem shares of Preferred Stock
that are held by the Depositary, the Depositary will redeem, as of the same
redemption date, the number of Depositary Shares representing the shares of
Preferred Stock so redeemed. If fewer than all the Depositary Shares are to be
redeemed, the Depositary Shares to be redeemed will be selected by lot or pro
rata as determined by the Depositary.
 
     After the date fixed for redemption, the Depositary Shares called for
redemption will no longer be outstanding, and all rights of the holders of those
Depositary Shares will cease, except the right to receive any money, securities,
or other property upon surrender to the Depositary of the Depositary Receipts
evidencing those Depositary Shares.
 
     Voting the Preferred Stock. Upon receipt of notice of any meeting at which
the holders of Preferred Stock are entitled to vote, the Depositary will mail
the information contained in the notice of meeting to the record holders of the
Depositary Shares underlying that Preferred Stock. Each record holder of those
Depositary Shares on the record date (which will be the same date as the record
date for the Preferred Stock) will be entitled to instruct the Depositary as to
the exercise of the voting rights pertaining to the amount of the Preferred
Stock underlying that holder's Depositary Shares. The Depositary will try, as
far as practicable, to vote the number of shares of Preferred Stock underlying
those Depositary Shares in accordance with such instructions, and we will agree
to take all action which may be deemed necessary by the Depositary in order to
enable the Depositary to do so. The Depositary will not vote the shares of
Preferred Stock to the extent it does not receive specific instructions from the
holders of Depositary Shares underlying the Preferred Stock.
 
     Amendment and Termination of the Depositary Agreement. The form of
Depositary Receipt evidencing the Depositary Shares and any provision of the
Deposit Agreement may be amended at any time by agreement between us and the
Depositary. However, any amendment that materially and adversely alters the
rights of the holders of Depositary Shares will not be effective unless the
amendment has been approved by the holders of at least a majority of the
Depositary Shares then outstanding. The Deposit Agreement may be terminated by
us or by the Depositary only if (i) all outstanding Depositary Shares have been
redeemed or (ii) there has been a final distribution of the underlying Preferred
Stock in connection with our liquidation, dissolution or winding up and the
Preferred Stock has been distributed to the holders of Depositary Receipts.
 
                                       14
<PAGE>   41
 
     Resignation and Removal of Depositary. The Depositary may resign at any
time by delivering a notice to us of its election to do so. We may remove the
Depositary at any time. Any such resignation or removal will take effect upon
the appointment of a successor Depositary and its acceptance of its appointment.
The successor Depositary must be appointed within 60 days after delivery of the
notice of resignation or removal.
 
     Miscellaneous. The Depositary will forward to holders of Depository
Receipts all reports and communications from us that we deliver to the
Depositary and that we are required to furnish to the holders of the Preferred
Stock.
 
     Neither we nor the Depositary will be liable if either of us is prevented
or delayed by law or any circumstance beyond our control in performing our
respective obligations under the Deposit Agreement. Our obligations and those of
the Depositary will be limited to the performance in good faith of our
respective duties under the Deposit Agreement. Neither we nor the Depositary
will be obligated to prosecute or defend any legal proceeding in respect of any
Depositary Shares or Preferred Stock unless satisfactory indemnity is furnished.
We and the Depositary may rely upon written advice of counsel or accountants, or
upon information provided by persons presenting Preferred Stock for deposit,
holders of Depositary Receipts or other persons believed to be competent and on
documents believed to be genuine.
 
     Description of Permanent Global Preferred Securities.
 
     Certain series of the Preferred Stock or Depositary Shares may be issued as
permanent global securities to be deposited with a depositary with respect to
that series. Unless otherwise indicated in the Prospectus Supplement, the
following is a summary of the depositary arrangements applicable to Preferred
Stock or Depositary Receipts issued in permanent global form and for which DTC
acts as the depositary ("Global Preferred Securities").
 
     Each Global Preferred Security will be deposited with, or on behalf of, DTC
or its nominee and registered in the name of a nominee of DTC. Except under the
limited circumstances described below, Global Preferred Securities are not
exchangeable for definitive certificated Preferred Stock or Depositary Receipts.
 
     Ownership of beneficial interests in a Global Preferred Security is limited
to institutions that have accounts with DTC or its nominee ("participants") or
persons that may hold interests through participants. In addition, ownership of
beneficial interests by participants in a Global Preferred Security will be
evidenced only by, and the transfer of that ownership interest will be effected
only through, records maintained by DTC or its nominee for a Global Preferred
Security. Ownership of beneficial interests in a Global Preferred Security by
persons that hold through participants will be evidenced only by, and the
transfer of that ownership interest within that participant will be effected
only through, records maintained by that participant. DTC has no knowledge of
the actual beneficial owners of the Preferred Stock or Depositary Shares, as the
case may be, represented by a Global Preferred Security. Beneficial owners will
not receive written confirmation from DTC of their purchase, but beneficial
owners are expected to receive written confirmations providing details of the
transaction, as well as periodic statements of their holdings, from the
participants through which the beneficial owners entered the transaction. The
laws of some jurisdictions require that certain purchasers of securities take
physical delivery of such securities in definitive form. Such laws may impair
the ability to transfer beneficial interests in a Global Preferred Security.
 
     Payments on Preferred Stock and Depositary Shares represented by a Global
Preferred Security registered in the name of or held by DTC or its nominee will
be made to DTC or its nominee, as the case may be, as the registered owner and
holder of the Global Preferred Security representing the Preferred Stock or
Depositary Shares. We have been advised by DTC that upon receipt of any payment
on a Global Preferred Security, DTC will immediately credit accounts of
participants on its book-entry registration and transfer system with payments in
amounts proportionate to their respective beneficial interests in that Global
Preferred Security as shown in the records of DTC. Payments by participants to
owners of beneficial interests in a Global Preferred Security held through those
participants will be governed by standing instructions and customary practices,
as is now the case with securities held for the accounts of customers in bearer
form or registered in "street name," and will be the sole responsibility of
those participants, subject to any statutory or regulatory requirements as may
be in effect from time to time.
                                       15
<PAGE>   42
 
     Neither we nor any of our agents will be responsible for any aspect of the
records of DTC, any nominee or any participant relating to, or payments made on
account of beneficial interests in a Global Preferred Security or for
maintaining, supervising or reviewing any of the records of DTC, any nominee or
any participant relating to such beneficial interests.
 
     A Global Preferred Security is exchangeable for definitive certificated
Preferred Stock or Depositary Receipts, as the case may be, registered in the
name of, and a transfer of a Global Preferred Security may be registered to, a
person other than DTC or its nominee, only if:
 
     - DTC notifies us that it is unwilling or unable to continue as Depositary
       for the Global Preferred Security or at any time DTC ceases to be
       registered under the Exchange Act; or
 
     - We determine in our discretion that the Global Preferred Security shall
       be exchangeable for definitive Preferred Stock or Depositary Receipts, as
       the case may be, in registered form.
 
     Any Global Preferred Security that is exchangeable pursuant to the
preceding sentence will be exchangeable in whole for definitive certificated
Preferred Stock or Depositary Receipts, as the case may be, registered by the
registrar in the name or names instructed by DTC. We expect that those
instructions may be based upon directions received by DTC from its participants
with respect to ownership of beneficial interests in that Global Preferred
Security.
 
     Except as provided above, owners of the beneficial interests in a Global
Preferred Security will not be entitled to receive physical delivery of
certificates representing shares of Preferred Stock or Depositary Shares, as the
case may be, and will not be considered the holders of Preferred Stock or
Depositary Shares, as the case may be. No Global Preferred Security shall be
exchangeable except for another Global Preferred Security to be registered in
the name of DTC or its nominee. Accordingly, each person owning a beneficial
interest in a Global Preferred Security must rely on the procedures of DTC and,
if that person is not a participant, on the procedures of the participant
through which that person owns its interest, to exercise any rights of a holder
of Preferred Stock or Depositary Shares, as the case may be.
 
     We understand that, under existing industry practices, in the event that we
request any action of holders, or an owner of a beneficial interest in a Global
Preferred Security desires to give or take any action that a holder of Preferred
Stock or Depositary Shares, as the case may be, is entitled to give or take, DTC
would authorize the participants holding the relevant beneficial interests to
give or take that action and those participants would authorize beneficial
owners owning through those participants to give or take that action or would
otherwise act upon the instructions of beneficial owners owning through them.
 
     A brief description of DTC is set forth above under "Description of Debt
Securities -- Permanent Global Debt Securities."
 
WARRANTS
 
     We may issue Warrants for the purchase of Debt Securities, Preferred Stock
or Common Stock. We may issue Warrants alone or together with any other
securities. Each series of Warrants will be issued under a separate Warrant
Agreement (each a "Warrant Agreement") to be entered into between us and a
Warrant Agent ("Warrant Agent"). The Warrant Agent will act solely as our agent
in connection with the Warrant of such series and will not assume any obligation
or relationship of agency for or with holders or beneficial owners of Warrants.
Further terms of the Warrants and the applicable Warrant Agreement will be set
forth in the applicable Prospectus Supplement.
 
FOREIGN OWNERSHIP
 
     The Certificate of Incorporation contains provisions that limit foreign
ownership of our capital stock. These provisions protect our ability to continue
to own our mobile offshore drilling units as U.S. flag vessels and to comply
with certain financial covenants that require us to maintain U.S. citizenship
that are contained in certain of our financing agreements.
 
                                       16
<PAGE>   43
 
     In order to continue to enjoy the benefits of U.S. flag registry for our
vessels, we 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 of the corporation (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 our stock. The Common Stock and
Preferred Stock (combining all series of Preferred Stock) are considered to be
separate classes of capital stock for this purpose.
 
     Under the provisions of the Certificate of Incorporation, (i) any transfer,
or attempted or purported transfer, of any shares of our capital stock 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 capital stock in excess of a fixed percentage (the
"Permitted Percentage") that is equal to 90% of the percentage that would
prevent us from being a U.S. citizen (currently 50%) for purposes of the
Shipping Act, will, for so long as such excess shall exist, be void and
ineffective as against us, and (ii) if at any time ownership of shares of our
capital stock (either of record or beneficial) by persons other than U.S.
citizens exceeds the Permitted Percentage, we 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 our Board of Directors determines became so owned most
recently. The Permitted Percentage is currently 45%.
 
PREFERRED STOCK PURCHASE RIGHTS
 
     We have a stockholder rights plan which was adopted in 1995 and amended in
1997. Under this plan, one Right (a "Right") is attached to each outstanding
share of Common Stock. The Rights are exercisable only if a person or group of
affiliated or associated persons acquires beneficial ownership of 15% or more of
our outstanding Common Stock or announces a tender offer, the consummation of
which would result in ownership by a person or group of 15% or more of our
Common Stock. Each Right entitles the registered holder to purchase from us one
one-hundredth of a share of Series A Junior Participating Preferred Stock at an
exercise price of $120.00. The existence of the Rights may, under certain
circumstances, render more difficult or discourage attempts to acquire us.
 
                              PLAN OF DISTRIBUTION
 
     We may sell the offered securities (a) through agents; (b) through
underwriters or dealers; or (c) directly to one or more purchasers.
 
BY AGENTS
 
     Offered securities may be sold through agents designated by us. The agents
agree to use their reasonable best efforts to solicit purchases for the period
of their appointment.
 
BY UNDERWRITERS
 
     If underwriters are used in the sale, the offered securities will be
acquired by the underwriters for their own account. The underwriters may resell
the securities in one or more transactions, including negotiated transactions,
at a fixed public offering price or at varying prices determined at the time of
sale. The obligations of the underwriters to purchase the securities will be
subject to certain conditions. The underwriters will be obligated to purchase
all the securities of the series offered if any of the securities are purchased.
Any initial public offering price and any discounts or concessions allowed or
re-allowed or paid to dealers may be changed from time to time.
 
                                       17
<PAGE>   44
 
DIRECT SALES
 
     Offered securities may also be sold directly by us. In this case, no
underwriters or agents would be involved.
 
GENERAL INFORMATION
 
     Underwriters, dealers and agents that participate in the distribution of
the offered securities may be underwriters as defined in the Securities Act of
1933 (the "Act"), and any discounts or commissions received by them from us and
any profit on the resale of the offered securities by them may be treated as
underwriting discounts and commissions under the Act. Any underwriters or agents
will be identified and their compensation described in a Prospectus Supplement.
 
     We may have agreements with the underwriters, dealers and agents to
indemnify them against certain civil liabilities, including liabilities under
the Act, or to contribute with respect to payments which the underwriters,
dealers or agents may be required to make.
 
     Underwriters, dealers and agents may engage in transactions with, or
perform services for, us or our subsidiaries in the ordinary course of their
businesses.
 
                                 LEGAL MATTERS
 
     Certain legal matters in connection with the Debt Securities we are
offering pursuant to this Prospectus will be passed upon for us by our counsel,
Thompson & Knight, P.C., Dallas, Texas.
 
                                    EXPERTS
 
     The consolidated financial statements incorporated in this Prospectus by
reference to the Annual Report on Form 10-K for the year ended December 31,
1998, have been so incorporated in reliance on the report of
PricewaterhouseCoopers LLP, independent accountants, given on the authority of
said firm as experts in auditing and accounting.
 
                                       18
<PAGE>   45
 
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                                  $400,000,000
 
                                  [NOBLE LOGO]
 
                           NOBLE DRILLING CORPORATION
 
                  $     ,000,000      % SENIOR NOTES DUE 2009
 
                  $     ,000,000      % SENIOR NOTES DUE 2019
 
                ------------------------------------------------
 
                             PROSPECTUS SUPPLEMENT
 
                ------------------------------------------------
 
                               Joint Bookrunners
 
                              MERRILL LYNCH & CO.
 
                              SALOMON SMITH BARNEY
 
                                 MARCH   , 1999
 
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