SOUTHWEST AIRLINES CO
10-Q, 1998-05-14
AIR TRANSPORTATION, SCHEDULED
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<PAGE>


               SECURITIES AND EXCHANGE COMMISSION
                     WASHINGTON, D.C. 20549

                           FORM 10-Q

(Mark One)
  X   QUARTERLY  REPORT PURSUANT TO SECTION 13  OR  15(d)  OF  THE
SECURITIES  EXCHANGE  ACT OF 1934 FOR THE QUARTERLY  PERIOD  ENDED
March 31, 1998     OR

____TRANSITION  REPORT PURSUANT TO SECTION  13  OR  15(d)  OF  THE
SECURITIES  EXCHANGE  ACT OF 1934 FOR THE TRANSITION  PERIOD  FROM
________ TO ________

Commission file No. 1-7259

                     SOUTHWEST AIRLINES CO.
      (Exact name of registrant as specified in its charter)

           TEXAS                             74-1563240
(State or other jurisdiction of        (I.R.S. Employer
incorporation or organization)         Identification No.)

     P.O. Box 36611, Dallas, Texas               75235-1611
(Address of principal executive offices)         (Zip Code)

                      (214) 792-4000
       (Registrant's telephone number, including area code)

Indicate  by check mark whether the registrant (1) has  filed  all
reports  required  to  be filed by Section  13  or  15(d)  of  the
Securities Exchange Act of 1934 during the preceding 12 months (or
for  such shorter period that the registrant was required to  file
such   reports),  and  (2)  has  been  subject  to   such   filing
requirements for the past 90 days.  Yes    X     No        .

Indicate  the number of shares outstanding of each of the issuer's
classes of common stock, as of the latest practicable date.

     Number of shares of Common Stock outstanding as of the close
     of business on May 11, 1998:

                            223,154,213
<PAGE>
                                 
                      SOUTHWEST AIRLINES CO.
                             FORM 10-Q
                  Part I - FINANCIAL INFORMATION
Item 1. Financial Statements
                                 
                      Southwest Airlines Co.
               CONDENSED CONSOLIDATED BALANCE SHEET
                          (in thousands)
                            (unaudited)
<TABLE>
<CAPTION>                                 

                                            March 31, 1998  December 31, 1997
<S>
ASSETS
Current assets:                                    <C>          <C>
       Cash and cash equivalents                    $506,948     $623,343
       Accounts receivable                           116,533       76,530
       Inventories of parts and supplies              47,918       52,376
       Deferred income taxes                          19,246       18,843
       Prepaid expenses and other current assets      30,567       35,324
            Total current assets                     721,212      806,416
                                                                
Property and equipment:                                         
       Flight equipment                            4,122,352    3,987,493
       Ground property and equipment                 617,290      601,957
       Deposits on flight equipment purchase 
       contracts                                     298,235      221,874
                                                   5,037,877    4,811,324
       Less allowance for depreciation             1,424,036    1,375,631
                                                   3,613,841    3,435,693
Other assets                                           4,158        4,051
                                                  $4,339,211   $4,246,160


LIABILITIES AND STOCKHOLDERS' EQUITY
Current liabilities:                                            
       Accounts payable                             $149,706     $160,891
       Accrued liabilities                           435,574      426,950
       Air traffic liability                         250,215      153,341
       Income taxes payable                           31,954           -
       Current maturities of long-term debt           14,808      121,324
       Other current liabilities                       4,037        6,007
             Total current liabilities               886,294      868,513

Long-term debt less current maturities               624,775      628,106
Deferred income taxes                                443,171      438,981
Deferred gains from sale and leaseback of aircraft   251,795      256,255
Other deferred liabilities                            37,543       45,287
Stockholders' equity:                                           
       Common stock                                  222,958      221,207
       Capital in excess of par value                172,779      155,696
       Retained earnings                           1,699,896    1,632,115
                                                                
          Total stockholders' equity               2,095,633    2,009,018
                                                  $4,339,211   $4,246,160
</TABLE>
See accompanying notes.
<PAGE>

                      Southwest Airlines Co.
            CONDENSED CONSOLIDATED STATEMENT OF INCOME
              (in thousands except per share amounts)
                            (unaudited)
[CAPTION]
<TABLE>
                                         Three months ended March 31,
                                           1998           1997
<S>                                              
Operating revenues:                     <C>            <C>            
  Passenger                              $894,789       $849,106
  Freight                                  25,142         21,354
  Other                                    22,722         16,635
                                                                
     Total operating revenues             942,653        887,095
                                                                
Operating expenses:                                             
  Salaries, wages, and benefits           298,232        265,794
  Fuel and oil                            101,476        134,075
  Maintenance materials and repairs        71,489         57,238
  Agency commissions                       38,448         37,092
  Aircraft rentals                         50,417         50,382
  Landing fees and other rentals           50,554         49,011
  Depreciation                             51,980         48,386
  Other operating expenses                168,364        157,914
                                                                
     Total operating expenses             830,960        799,892
                                                                
Operating income                          111,693         87,203

Other expenses (income):                                        
  Interest expense                         15,711         15,225
  Capitalized interest                     (6,236)        (4,422)
  Interest income                          (7,815)        (7,962)
  Nonoperating losses (gains), net         (4,024)           961
                                                                
     Total other expenses (income)         (2,364)         3,802
                                                                
                                                                
Income before income taxes                114,057         83,401
Provision for income taxes                 44,049         32,527
                                                                
Net income                                $70,008        $50,874
                                                                
                                                                
Net income per share:                                           
  Basic                                      $.31           $.23
  Diluted                                    $.30           $.23
                                                                
Weighted average shares outstanding:                            
  Basic                                   222,250        217,971
  Diluted                                 235,289        223,477
                                                                
</TABLE>

See accompanying notes.
<PAGE>

                      Southwest Airlines Co.
          CONDENSED CONSOLIDATED STATEMENT OF CASH FLOWS
                          (in thousands)
                            (unaudited)

<TABLE>
<CAPTION>
                                            Three months ended March 31,
                                                    1998       1997
<S>                                              <C>             <C>
Net cash provided by operating activities         $215,269        $93,511
                                                                
Investing activities:                                           
 Net purchases of property and equipment          (235,972)      (115,850)
                                                                
Financing activities:                                           
 Issuance of long-term debt                           -            98,764
 Payment of long-term debt and                                  
      capital lease obligations                   (110,089)        (4,944)
 Payment of cash dividends                          (4,437)        (3,195)
 Proceeds from Employee stock plans                 18,834          2,285
                                                                
Net cash provided by (used in) financing                                  
      activities                                   (95,692)        92,910
                                                                
Net increase (decrease) in cash and                             
      cash equivalents                            (116,395)        70,571
Cash and cash equivalents at                                    
      beginning of period                          623,343        581,841
                                                                
Cash and cash equivalents at end of                             
      period                                      $506,948       $652,412
                                                                
Cash payments for:                                              
 Interest, net of amount                                        
      capitalized                                  $20,821        $20,827
 Income taxes                                         $635           $215

</TABLE>
See accompanying notes.

<PAGE>
                                 
                                 
                      SOUTHWEST AIRLINES CO.
      Notes to Condensed Consolidated Financial Statements


      1.    Basis  of  presentation - The  accompanying  unaudited
condensed consolidated financial statements of Southwest  Airlines
Co.  (Company)  have  been prepared in accordance  with  generally
accepted  accounting principles for interim financial  information
and  with  the  instructions  to  Form  10-Q  and  Article  10  of
Regulation  S-X.   Accordingly, they do not  include  all  of  the
information   and   footnotes  required  by   generally   accepted
accounting  principles  for  complete  financial  statements.  The
condensed  consolidated  financial  statements  for  the   interim
periods  ended  March  31, 1998 and 1997 include  all  adjustments
(which  include only normal recurring adjustments) which  are,  in
the  opinion  of management, necessary for a fair presentation  of
the  results for the interim periods.  Operating results  for  the
three  months ended March 31, 1998 are not necessarily  indicative
of  the  results that may be expected for the year ended  December
31,  1998.  For  further information, refer  to  the  consolidated
financial  statements  and  footnotes  thereto  included  in   the
Southwest  Airlines Co. Annual Report on Form 10-K  for  the  year
ended December 31, 1997.

      2.    Dividends - During the three month period ended  March
31,  1998,  dividends  of  $.01 per share  were  declared  on  the
222,680,790 shares of common stock then outstanding.   During  the
three month period ended March 31, 1997,  dividends of $.0077  per
share were declared on the 218,002,715 shares of common stock then
outstanding.

      3.   Long-term  debt - During February  1998,  the  Company
redeemed  $100  million  in  senior unsecured  9  1/4%  Notes  due
February,  15, 1998, originally issued February 1991.   The  Notes
were redeemed at par plus accrued interest.

      4.   Reclassifications - Certain prior year amounts have been
reclassified for comparison purposes.

      5.   Common stock - On September 25, 1997, the Company's
Board of Directors declared a three-for-two stock split,
distributing 73,577,983 shares on November 26, 1997.  All per
share data presented in the accompanying consolidated financial
statements and notes thereto have been restated for the stock
split.
<PAGE>
     6. Net income per share - The following table sets forth the
computation of basic and diluted earnings per share (in thousands
except per share amounts):

<TABLE>
<CAPTION>
                                                Three months ended
                                                     March 31,
                                                 1998        1997
<S>                                             <C>         <C> 
NUMERATOR:                                                  
 Net income, available to common                            
   stockholders - numerator for basic and
   diluted earnings per share                    $70,008     $50,874
                                                            
DENOMINATOR:                                                
 Weighted-average shares                                    
   outstanding, basic                            222,250     217,971
 Dilutive effect of Employee stock                          
   options                                        13,039       5,506
 Adjusted weighted-average shares                           
   outstanding, diluted                          235,289     223,477
                                                            
NET INCOME PER SHARE:                                       
 Basic                                              $.31        $.23
 Diluted                                            $.30        $.23
</TABLE>

      7.   Recently  issued accounting standards -  In  1997,  the
Financial Accounting Standards Board issued Statement of Financial
Accounting  Standards  No. 130,  "Reporting Comprehensive Income"
(SFAS 130) and Statement  of Financial Accounting Standards No. 131,
"Disclosures about Segments of an Enterprise and Related Information"
(SFAS 131), both effective for years beginning after December 15,
1997. SFAS  130  establishes  standards for  reporting  and  display
of comprehensive income and its components in a full set of financial
statements  and is not expected to have any impact on the  Company
as the Company does not currently have any transactions which give
rise  to  differences between net income and comprehensive income.
SFAS  131  establishes standards for the way that public  business
enterprises report information about operating segments in  annual
financial  statements and requires that those  enterprises  report
selected information about operating segments in interim financial
reports.    The   Company  is  subject  to  the  new  requirements
retroactively in 1998; however, SFAS 131 does not currently result
in additional reported segment disclosures.

Item 2.   Management's Discussion and Analysis of Results of
          Operations and Financial Condition

Comparative Consolidated Operating Statistics

      Relevant  operating statistics for the three  month  periods
ended March 31, 1998 and 1997 are as follows:
<PAGE>
<TABLE>
<CAPTION>
                                               Three months ended
                                                   March 31,
                                                            
                                           1998          1997       Change
<S>                                    <C>           <C>           <C>  
Revenue passengers carried              11,848,686   12,046,184    (1.6)%
Revenue  passenger miles(RPMs) (000s)    6,898,847    6,533,046     5.6 %
Available  seat  miles  (ASMs) (000s)   11,270,174   10,517,635     7.2 %
Load factor                                  61.2%        62.1%    (0.9) pts.
Average  length  of  passenger haul            582          542     7.4 %
Trips flown                                195,177      190,205     2.6 %
Average passenger fare                      $75.52       $70.49     7.1 %
Passenger  revenue  yield  per RPM          $.1297       $.1300    (0.2)%
Operating  revenue  yield  per ASM          $.0836       $.0843    (0.8)%
Operating expenses per ASM                  $.0737       $.0761    (3.2)%
Average fuel cost per gallon                $.5022       $.7145   (29.7)%
Number of Employees at period-end           24,151       23,544     2.6 %
Size of fleet at period-end                    264          246     7.3 %

</TABLE>

Material Changes in Results of Operations

     Consolidated net income for the first quarter ended March 31,
1998  was $70.0 million ($.30 per share, diluted), as compared  to
first  quarter 1997 net income of $50.9 million ($.23  per  share,
diluted), an increase of 37.6%.

      First quarter 1998 consolidated operating revenues increased
6.3  percent compared to first quarter 1997 primarily due to a 5.4
percent increase in passenger revenues.  The increase in passenger
revenues resulted from a 5.6 percent increase in RPMs offset by  a
 .2 percent decrease in passenger revenue yield per RPM.
<PAGE>
      While  RPMs  in  first quarter 1998 increased  5.6  percent,
available seat miles (ASMs) increased 7.2 percent resulting  in  a
load  factor  of 61.2 percent versus 62.1 percent  for  the  first
three  months  of  1997.  The increase in ASMs resulted  primarily
from the net addition of 18 aircraft since first quarter 1997.

      Revenue  passengers carried in first quarter 1998  decreased
1.6 percent when compared to first quarter 1997 primarily due to a
7.4  percent increase in average length of passenger haul in first
quarter  1998 coupled with the Easter holiday falling in March  in
1997 rather than April as it did in 1998. Despite the lapse of the
ten  percent federal excise tax from January 1, 1997 to  March  7,
1997,  revenue  yield  per passenger mile in  first  quarter  1998
remained relatively unchanged when compared to the same period  in
1997  primarily due to a 7.1 percent increase in average passenger
fare in 1998.

      The load factor for April 1998 was 68.3 percent, compared to
the  April 1997 load factor of 60.8 percent.  Management  believes
the  higher  load  factor  for April 1998  was  primarily  due  to
increased  promotional  activity in April 1998  coupled  with  the
Easter holiday falling in  April 1998 rather than March as it  did
in  1997.    Thus far, bookings for May and June are also  strong.
(The immediately preceding sentence is a forward-looking statement
which  involves uncertainties that could result in actual  results
differing  materially  from  expected results.   Some  significant
factors  include, but may not be limited to, competitive  pressure
such as fare sales and capacity changes by other carriers, general
economic conditions, and variations in advance booking trends.)

      Consolidated freight revenues increased 17.7 percent in  the
first  quarter of 1998 as compared to the same period in 1997  due
to   increased  capacity  and  retention  of  increased   business
resulting, in part, from the United Parcel Service labor strike in
third quarter 1997. Other revenues increased 36.6 percent in first
quarter 1998 primarily due to increased revenues from the sale  of
frequent  flyer segment credits to participating partners  in  the
Company's Rapid Rewards frequent flyer program.

      Operating expenses per ASM for first quarter 1998  decreased
3.2  percent to $.0737, compared to $.0761 for first quarter 1997,
primarily  due  to  a  29.7 percent decline in  average  jet  fuel
prices, partially offset by higher aircraft engine overhaul  costs
and  higher profitsharing and Employee savings plan contributions.
Excluding jet fuel costs and related taxes, operating expenses per
ASM  were  up  2.3 percent in first quarter 1998 when compared  to
first  quarter 1997.  Although unit costs are expected to continue
benefiting  from lower fuel prices in second quarter  1998  versus
second quarter 1997, total operating expenses per ASM are expected
to  increase  primarily  due  to higher  maintenance  costs.  (The
immediately  preceding  sentence is  a  forward-looking  statement
which  involves uncertainties that could result in actual  results
differing  materially from expected results.   Such  uncertainties
include,  but  may  not  be limited to, the largely  unpredictable
levels of jet fuel prices.)
<PAGE>
                                 
                      Southwest Airlines Co.
                   Operating Expenses per ASM
                 (in cents except percent change)

<TABLE>
<CAPTION>
                                                 Three months ended
                                                      March 31,
                                                           Increase  Percent
                                            1998    1997  (decrease) change
<S>                                        <C>     <C>    <C>       <C>  
Salaries, wages, and benefits               2.38    2.30    .08        3.5
Employee  profitsharing and savings plans    .27     .23    .04       17.4
Fuel and oil                                 .90    1.28   (.38)     (29.7)
Maintenance materials and repairs            .63     .54    .09       16.7
Agency commissions                           .34     .35   (.01)      (2.9)
Aircraft rentals                             .45     .48   (.03)      (6.3)
Landing fees and other rentals               .45     .47   (.02)      (4.3)
Depreciation                                 .46     .46     -          -
Other operating expenses                    1.49    1.50   (.01)       (.7)
Total                                       7.37    7.61   (.24)       3.2

</TABLE>

      Salaries, wages, and benefits per ASM increased 3.5  percent
in  first quarter 1998 due to, among other things, increased hours
due  to  weather delays, increased training costs,  and  increased
health care costs.

      The Company's Customer Service and Reservations Sales Agents
are subject to an agreement with the International Association  of
Machinists  and  Aerospace Workers, AFL-CIO  (IAM),  which  became
amendable  in  November 1997 and is currently  under  negotiation.
Flight Dispatchers are represented by Southwest Airlines Employees
Association,  pursuant to an agreement which became  amendable  in
November 1997 and is also currently under negotiation.

      Profitsharing  and Employee savings plan  expenses  per  ASM
increased  17.4 percent from first quarter 1997 to  first  quarter
1998,   primarily   due  to  increased  earnings   available   for
profitsharing in 1998.

      Fuel and oil expense per ASM decreased 29.7 percent in first
quarter  1998 due to a corresponding decrease in the  average  jet
fuel  cost  per gallon from the same period in 1997.  The  average
price  paid  for  jet fuel in first quarter 1998  was  $.5022  per
gallon, compared to $.7145 per gallon in first quarter 1997. Since
the  end  of  first quarter 1998, fuel prices have averaged  below
$.50 per gallon.

      Maintenance  materials and repairs per  ASM  increased  16.7
percent  for the three months ended March 31, 1998 as compared  to
the  corresponding  period of the prior year.   The  increase  was
primarily  due  to higher engine overhaul costs in  first  quarter
1998 when compared to the same period in 1997.  The Company had an
unusually low number of aircraft engine overhauls in first quarter
1997.   Management  believes that the Company's  power-by-the-hour
contract  with  General  Electric, which  began  in  August  1997,
resulted  in lower first quarter 1998 maintenance costs  than  the
Company would have otherwise experienced.

      Agency  commissions per ASM decreased 2.9  percent  for  the
first  quarter of 1998 as compared to the first quarter  of  1997,
primarily  due  to a decrease in the percentage of  commissionable
sales.

      Aircraft rentals per ASM decreased 6.3 percent for the first
quarter of 1998 as compared to the first quarter of 1997 due to  a
lower percentage of the aircraft fleet being leased.

      Landing fees and other rentals per ASM decreased 4.3 percent
for first quarter 1998 as compared to first quarter 1997 primarily
due to airport credits received in 1998 coupled with a 4.1 percent
increase  in  the average aircraft stage length in  first  quarter
1998.

      Other  operating expense per ASM decreased  .7  percent  for
first quarter 1998 as compared to first quarter 1997 primarily due
to  lower  advertising and credit card processing costs  partially
offset by increased costs resulting from the Year 2000 remediation
program.

     Other expense (income) for the first quarter of 1998 included
interest  expense,  capitalized  interest,  interest  income,  and
nonoperating   gains  and  losses.   Interest  expense   increased
slightly  in  first quarter 1998 primarily due to  higher  average
outstanding  debt  balances  in first  quarter  1998.  Capitalized
interest increased $1.8 million in first quarter 1998 as a  result
of  higher first quarter 1998 progress payment balances caused  by
Boeing   aircraft  delivery  delays.   Interest  income  decreased
slightly  in  first  quarter  1998  due  to  lower  invested  cash
balances.   Nonoperating  gains  in  first  quarter  1998  include
contractual  penalties due from Boeing caused  by  delays  in  the
delivery of 737-700 aircraft.

Material Changes in Financial Condition

      Net cash provided by operating activities was $215.3 million
for  the three months ended March 31, 1998 and $732.3 million  for
the  12  months then ended.  Cash generated was primarily used  to
finance  aircraft-related capital expenditures and provide working
capital.

      During  the  12  months ended March 31,  1998,  net  capital
expenditures were $809.0 million, which primarily related  to  the
purchase of six new 737-700 aircraft, twelve new 737-300 aircraft,
two  used  737-300  aircraft,  and progress  payments  for  future
aircraft deliveries.

      During  February 1998, the Company redeemed the $100 million
senior  unsecured 9 1/4% Notes due February, 15,  1998  issued  in
February 1991.

     The Company recently announced new service to Manchester, New
Hampshire  beginning  June  7,  1998,  with  nonstop  service   to
Baltimore/Washington, Chicago Midway, Nashville, and Orlando.

      As  of  March 31, 1998, the Company had authority  from  its
Board  of  Directors  to purchase up to 2,500,000  shares  of  its
common stock from time to time on the open market.  No shares have
been purchased since 1990.

      The  Company's contractual commitments consist primarily of
scheduled  aircraft acquisitions. As of April 30, 1998, eighteen
737-700s are  scheduled for delivery in the remainder of 1998, 25
in 1999, 24 in 2000,  21 in  2001, 21 in 2002, eight in 2003, and
five in 2004. In addition, the Company has options to purchase up
to sixty-two 737-700s during 2003-2006. The Company has the option,
which must be exercised two years prior to the contractual delivery
date, to substitute 737-600s or 737-800s for the 737-700s scheduled
subsequent to 1999.  Aggregate funding needed for these commitments
was approximately $2,857.7 million at April 30, 1998 due as follows:
$318.2 million in 1998; $753.0 million in  1999; $592.7 million in
2000; $510.1 million in 2001; $428.4 million in 2002; $166.2 million
in 2003; and $89.1 million in 2004.

     During first quarter 1998, Boeing continued to experience
production delays related to the 737 production line.  As of April
30, 1998, Southwest had leased or purchased four used 737-300
aircraft which became available on the open market, and expects to
acquire a fifth used aircraft in May 1998. These additional
aircraft partially mitigate the impact of the Boeing delays on
operations.  Boeing currently expects delays to continue in 1998,
which will also delay further expansion to new cities to 1999.
Boeing will continue to compensate Southwest for these delivery
delays.

     The Company has various options available to meet its capital
and  operating commitments, including cash on hand  at  March  31,
1998  of  $506.9  million,  internally  generated  funds,  and   a
revolving credit line with a group of banks of up to $475  million
(none  of  which had been drawn at March 31, 1998).  In  addition,
the  Company  will  also  consider various  borrowing  or  leasing
options to maximize earnings and supplement cash requirements.

     The Company currently has outstanding shelf registrations for
the  issuance of $414 million in public debt securities  which  it
currently intends to substantially utilize for aircraft financings
during 1998, 1999, and 2000.

Impact of the Year 2000

     The Company is currently converting its computer systems to
be year 2000 compliant and expects to have the conversion
substantially completed by March 31, 1999.  The Company has
expensed $5.1 million ($1.1 million in first quarter 1998) of
costs incurred to date related to the year 2000 issue.  The total
remaining cost of the year 2000 project is presently estimated at
$13.9 million, which will be expensed as incurred.  The costs of
the project and the date on which the Company believes it will
complete the year 2000 modifications are based on management's
best estimates, which were derived utilizing numerous assumptions
of future events, including the continued availability of certain
resources.  There can be no guarantee that these estimates will be
achieved and actual results could differ materially from those
anticipated.  Specific factors that might cause such material
differences include, but are not limited to, the availability and
cost of personnel trained in this area and the ability to locate
and correct all relevant computer code.

     See Item 7. Management's Discussion and Analysis of Financial
Condition and Results of Operations in the Company's Annual Report
on Form 10-K for the year ended December 31, 1997 for additional
information related to the Company's year 2000 issue remediation
efforts.

Item  3.    Quantitative and Qualitative Disclosures About  Market
Risk

      There  have been no material changes in information required
to be provided under this Item during first quarter 1998. See Item
7A. Quantitative and Qualitative Disclosures About Market Risk  in
the  Company's  Annual  Report on Form 10-K  for  the  year  ended
December 31, 1997.

                    PART II. OTHER INFORMATION


Item 1.   Legal Proceedings

          The  Company  received a statutory notice of  deficiency
          from  the Internal Revenue Service (the "IRS") in  which
          the  IRS proposed to disallow deductions claimed by  the
          Company  on  its  federal income  tax  returns  for  the
          taxable years 1989 through 1991 for the costs of certain
          aircraft inspection and maintenance procedures.  The IRS
          has  proposed similar adjustments to the tax returns  of
          numerous  other  members of the  airline  industry.   In
          response  to  the  statutory notice of  deficiency,  the
          Company filed a petition in the United States Tax  court
          on  October 30, 1997, seeking a determination  that  the
          IRS  erred in disallowing the deductions claimed by  the
          Company and that there is no deficiency in the Company's
          tax  liability for the taxable years in  issue.   It  is
          expected  that  the  Tax Court's decision  will  not  be
          entered for several years.  Management believes that the
          final  resolution of this controversy will  not  have  a
          materially adverse effect upon the results of operations
          of the Company.  This forward-looking statement is based
          on  management's current understanding of  the  relevant
          law  and  facts; it is subject to various  contingencies
          including  the  views of legal counsel, changes  in  the
          IRS'  position,  the potential cost and risk  associated
          with  litigation and the actions of the IRS, judges  and
          juries.

Item 2.   Changes in Securities

          Recent Sales of Unregistered Securities


          During  the  first quarter of 1998, Herbert D.  Kelleher
          exercised  unregistered options  to  purchase  Southwest
          Common Stock as follows:
<TABLE>
<CAPTION>
              Number of Shares                           Date of
                Purchased            Exercise Price      Exercise
<S>              <C>                   <C>              <C>           
                  151,875                 $1.00           1/9/98
                   20,000               $4.0139          1/28/98
</TABLE>
                                 
          The  issuance  of the above shares to Mr. Kelleher  were
          deemed  exempt from the registration provisions  of  the
          Securities  Act  of  1933, as amended  (the  "Act"),  by
          reason  of  the  provision of Section 4(2)  of  the  Act
          because,  among other things, of the limited  number  of
          participants in such transactions and the agreement  and
          representation  of Mr. Kelleher that  he  was  acquiring
          such  securities for investment and not with a  view  to
          distribution thereof.  The certificates representing the
          shares  issued to Mr. Kelleher contain a legend  to  the
          effect that such shares are not registered under the Act
          and  may  not  be  transferred  except  pursuant  to   a
          registration statement which has become effective  under
          the  Act or to an exemption from such registration.  The
          issuance of such shares was not underwritten.

Item 3.   Defaults upon Senior Securities

          None

Item 4.   Submission of Matters to a Vote of Security Holders

          None

Item 5.   Other Information

          Effective December 31, 1998, Gary A. Barron has  elected
          to  relinquish his position as executive vice president-
          chief  operations  officer. Barron, 53,  will,  however,
          remain an executive vice president of Southwest Airlines
          through    at    least   December   31,    2000,    with
          responsibilities primarily in the labor relations area.
          
          James   C.   Wimberly,  formerly  vice  president-ground
          operations, will transition under Barron's direction for
          the remainder of this year, and on January 1, 1999, will
          replace   Barron   as  executive  vice   president-chief
          operations   officer.    Flight   operations;   inflight
          services;  maintenance;  fuel  management;  and   ground
          operations  will  report to Wimberly,  45,  in  his  new
          position.
          
          Dave   Ridley   has  been  named  vice  president-ground
          operations, effective May 1, 1998.  Ridley, 45, was vice
          president-marketing and sales, and will now oversee  the
          8,000 Employees who work in cargo; customer service; and
          ramp   and  operations  at  the  Company's  52   airport
          locations. He will also become a member of the Company's
          Executive Planning Committee.
          
          Joyce  C. Rogge became vice president-marketing and  the
          Company's sole marketing officer effective May 1,  1998.
          Previously,  Rogge,  40, was vice  president-advertising
          and  promotions, and shared responsibility for marketing
          and   pricing with Ridley. In her new position, she will
          also oversee field marketing; product distribution;  and
          the group and packages business.
          
          Effective  May 1, 1998, Donna D. Conover has been  named
          vice   president-inflight  service   and   provisioning,
          replacing   William  Q.  Miller,  54,   who   previously
          announced  his retirement as head of inflight.  Conover,
          45,  was  director-system support for ground  operations
          and   will   now  oversee  approximately  4,500   flight
          attendants   as   well  as  the  aircraft   provisioning
          function.

Item 6.   Exhibits and Reports on Form 8-K

          a)   Exhibits

               (27)   Financial Data Schedule

          b)   Reports on Form 8-K

                         None
                                 
<PAGE>
                                 
                            SIGNATURES


      Pursuant to the requirements of the Securities Exchange  Act
of  1934, the Registrant has duly caused this report to be  signed
on its behalf by the undersigned thereunto duly authorized.

                                SOUTHWEST AIRLINES CO.




<TABLE>
<S>                              <C>
May 14, 1998                      /s/ Gary C. Kelly
Date                              Gary C. Kelly
                                  Vice President - Finance and
                                  Chief Financial Officer
                                  (Principal Financial and
                                  Accounting Officer)
<PAGE>

                         INDEX TO EXHIBITS


Exhibit
Number                      Exhibit


(27)      Financial Data Schedule
<PAGE>

</TABLE>

<TABLE> <S> <C>

<ARTICLE> 5
<CIK> 0000092380
<NAME> SOUTHWEST AIRLINES CO.
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   3-MOS
<FISCAL-YEAR-END>                          DEC-31-1998
<PERIOD-START>                             JAN-01-1998
<PERIOD-END>                               MAR-31-1998
<CASH>                                         506,948
<SECURITIES>                                         0
<RECEIVABLES>                                  116,533
<ALLOWANCES>                                         0
<INVENTORY>                                     47,918
<CURRENT-ASSETS>                               721,212
<PP&E>                                       5,037,877
<DEPRECIATION>                               1,424,036
<TOTAL-ASSETS>                               4,339,211
<CURRENT-LIABILITIES>                          886,294
<BONDS>                                              0
                                0
                                          0
<COMMON>                                       222,958
<OTHER-SE>                                   1,872,675
<TOTAL-LIABILITY-AND-EQUITY>                 4,339,211
<SALES>                                              0
<TOTAL-REVENUES>                               942,653
<CGS>                                                0
<TOTAL-COSTS>                                  830,960
<OTHER-EXPENSES>                                     0
<LOSS-PROVISION>                                     0
<INTEREST-EXPENSE>                              15,711
<INCOME-PRETAX>                                114,057
<INCOME-TAX>                                    44,049
<INCOME-CONTINUING>                             70,008
<DISCONTINUED>                                       0
<EXTRAORDINARY>                                      0
<CHANGES>                                            0
<NET-INCOME>                                    70,008
<EPS-PRIMARY>                                     0.31
<EPS-DILUTED>                                     0.30
        

</TABLE>


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