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, 2005 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                       (IRS Employer
    incorporation or organization)                     Identification No.)

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

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

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 by check mark whether the registrant is an accelerated filer (as
defined in Rule 12b-2 of the Exchange Act.)     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 April 13, 2005:

                                 784,751,947













<Page>
                           SOUTHWEST AIRLINES CO.
                                 FORM 10-Q
                      Part I - FINANCIAL INFORMATION
Item 1. Financial Statements
<Table>
<Caption>
                           Southwest Airlines Co.
                    Condensed Consolidated Balance Sheet
                               (in millions)
                                (unaudited)
                                                  March 31,      December 31,
                                                     2005            2004
                                                          
ASSETS
Current assets:
      Cash and cash equivalents                      $1,908          $1,048
      Short-term investments                              -             257
      Accounts and other receivables                    334             248
      Inventories of parts and supplies, at cost        128             137
      Fuel hedge contracts                              790             428
      Prepaid expenses and other current assets          75              54
          Total current assets                        3,235           2,172

Property and equipment, at cost:
      Flight equipment                               10,354          10,037
      Ground property and equipment                   1,220           1,202
      Deposits on flight equipment
        purchase contracts                              646             682
                                                     12,220          11,921
      Less allowance for depreciation
        and amortization                              3,210           3,198
                                                      9,010           8,723
Other assets                                          1,009             442
                                                    $13,254         $11,337

LIABILITIES & STOCKHOLDERS' EQUITY
Current liabilities:
      Accounts payable                                 $471            $420
      Accrued liabilities                             1,611           1,047
      Air traffic liability                             724             529
      Current maturities of long-term debt               74             146
          Total current liabilities                   2,880           2,142

Long-term debt less current maturities                1,926           1,700
Deferred income taxes                                 1,975           1,610
Deferred gains from sale and leaseback of aircraft      148             152
Other deferred liabilities                              210             209
Stockholders' equity:
      Common stock                                      790             790
      Capital in excess of par value                    299             299
      Retained earnings                               4,138           4,089
      Accumulated other comprehensive income            972             417
      Treasury stock, at cost                           (84)            (71)
          Total stockholders' equity                  6,115           5,524
                                                    $13,254         $11,337
See accompanying notes.
</Table>
<Page>
<Table>
<Caption>
                           Southwest Airlines Co.
                 Condensed Consolidated Statement of Income
                   (in millions, except per share amounts)
                                (unaudited)
                                           Three months ended
                                                March 31,
                                            2005         2004
                                                
OPERATING REVENUES:
  Passenger                               $1,592       $1,428
  Freight                                     34           25
  Other                                       37           31
    Total operating revenues               1,663        1,484

OPERATING EXPENSES:
  Salaries, wages, and benefits              640          589
  Fuel and oil                               279          230
  Maintenance materials and repairs	         101          114
  Aircraft rentals                            43           45
  Landing fees and other rentals             113          103
  Depreciation and amortization              112          103
  Other operating expenses                   269          254
    Total operating expenses               1,557        1,438

OPERATING INCOME                             106           46

OTHER EXPENSES (INCOME):
  Interest expense                            27           19
  Capitalized interest                        (9)         (10)
  Interest income                             (7)          (4)
  Other (gains) losses, net                  (19)           -
    Total other expenses (income)             (8)           5



INCOME BEFORE INCOME TAXES                   114           41
PROVISION FOR INCOME TAXES                    38           15


NET INCOME                                   $76          $26


NET INCOME PER SHARE, BASIC                $ .10        $ .03
NET INCOME PER SHARE, DILUTED              $ .09        $ .03

WEIGHTED AVERAGE SHARES OUTSTANDING:
    Basic                                    784          785
    Diluted                                  812          817

See accompanying notes.
</Table>
<Page>


<Table>
<Caption>
                           Southwest Airlines Co.
              Condensed Consolidated Statement of Cash Flows
                               (in millions)
                                (unaudited)

                                                       Three months ended
                                                            March 31,
                                                      2005            2004
                                                              
CASH FLOWS FROM OPERATING ACTIVITIES:
    Net income                                         $76             $26
    Adjustments to reconcile net income to
      cash provided by operating activities:
        Depreciation and amortization                  112             103
        Deferred income taxes                           38              16
        Amortization of deferred gains on sale and
          leaseback of aircraft                         (4)             (4)
        Amortization of scheduled airframe
          inspections & repairs                         11              14
        Changes in certain assets and liabilities:
          Accounts and other receivables               (86)            (47)
          Other current assets                         (12)            (15)
          Accounts payable and accrued liabilities     593             123
          Air traffic liability                        195             238
        Other                                          (37)            (37)
            Net cash provided by
              operating activities                     886             417

CASH FLOWS FROM INVESTING ACTIVITIES:
    Purchases of property and equipment, net          (423)           (360)
    Change in short-term investments                   257              39
    Acquisition of assets from ATA Airlines, Inc.       (6)              -
          Net cash used in investing activities       (172)           (321)

CASH FLOWS FROM FINANCING ACTIVITIES:
    Issuance of long-term debt                         300              29
    Proceeds from Employee stock plans                  19              13
    Payments of long-term debt and
      capital lease obligations                       (108)             (7)
    Payments of cash dividends                          (7)             (7)
    Repurchase of common stock                         (55)           (125)
    Other, net                                          (3)             (1)
           Net cash provided by (used in)
             financing activities                      146             (98)

NET INCREASE (DECREASE) IN CASH AND CASH EQUIVALENTS   860              (2)
CASH AND CASH EQUIVALENTS AT BEGINNING OF PERIOD     1,048           1,484

CASH AND CASH EQUIVALENTS AT END OF PERIOD          $1,908          $1,482

CASH PAYMENTS FOR:
  Interest, net of amount capitalized                  $16             $13
  Income taxes                                          $-              $-

See accompanying notes.
</Table>
<Page>
                             Southwest Airlines Co.
              Notes to Condensed Consolidated Financial Statements
                                  (unaudited)


1.  BASIS OF PRESENTATION

The accompanying unaudited condensed consolidated financial statements of
Southwest Airlines Co. (Company or Southwest) have been prepared in
accordance with accounting principles generally accepted in the United States
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 accounting principles generally
accepted in the United States for complete financial statements.  The
unaudited condensed consolidated financial statements for the interim
periods ended March 31, 2005 and 2004, include all adjustments, which are, in
the opinion of management, necessary for a fair presentation of the results
for the interim periods.  This includes all normal and recurring adjustments,
and other accounting entries as described herein.  The Condensed Consolidated
Balance Sheet as of December 31, 2004, has been derived from the Company's
audited financial statements as of that date but does not include all of the
information and footnotes required by generally accepted accounting
principles for complete financial statements.  Financial results for the
Company, and airlines in general, are seasonal in nature.  Historically, the
Company's second and third fiscal quarters have been more profitable than its
first and fourth fiscal quarters.  Operating results for the three months
ended March 31, 2005, are not necessarily indicative of the results that
may be expected for the year ended December 31, 2005.  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, 2004.

Certain prior period amounts have been reclassified to conform to the current
presentation.  In the Condensed Consolidated Balance Sheet as of December 31,
2004, the Company has reclassified certain amounts as "Short-term
investments", that were previously classified as "Cash and cash equivalents."
In the Condensed Consolidated Statement of Cash Flows for the period ended
March 31, 2004, changes in the amounts of "Short-term investments" are
classified as cash flows from investing activities.  In the Condensed
Consolidated Statement of Income for the period ended March 31, 2004, amounts
previously classified as "Agency commissions" are now classified in
"Other operating expenses."

2. STOCK-BASED EMPLOYEE COMPENSATION

The Company has stock-based compensation plans covering the majority of its
Employee groups, including plans adopted via collective bargaining, a plan
covering the Company's Board of Directors, and plans related to employment
contracts with certain Executive Officers of the Company.  The Company
accounts for stock-based compensation utilizing the intrinsic value method
in accordance with the provisions of Accounting Principles Board Opinion No.
25 (APB 25), "Accounting for Stock Issued to Employees" and related
Interpretations.  Accordingly, no compensation expense is recognized for

<Page>
fixed option plans because the exercise prices of Employee stock options
equal or exceed the market prices of the underlying stock on the dates of
grant.  See Note 11 for additional information.

The following table represents the effect on net income and earnings per
share if the Company had applied the fair value based method and recognition
provisions of Statement of Financial Accounting Standards (SFAS) No. 123,
"Accounting for Stock-Based Compensation," to stock-based Employee
compensation (in millions, except per share amounts):
<Table>
<Caption>
                                           Three months ended March 31,
                                               2004         2003
                                                    
Net income, as reported                         $76          $26
Add: Stock-based Employee compensation
   expense included in reported income,
   net of related tax effects                     -            -
Deduct:  Total stock-based Employee
  compensation expense determined under
  fair value based methods for all awards,
  net of related tax effects                    (12)         (12)

Pro forma net income                            $64          $14

Net income per share
  Basic, as reported                           $.10         $.03
  Basic, pro forma                             $.08         $.02

  Diluted, as reported                         $.09         $.03
  Diluted, pro forma                           $.08         $.02
</Table>

3.  DIVIDENDS

During the three month period ended March 31, 2005, dividends of $.0045 per
share were declared on the 783 million shares of common stock then
outstanding.  During the three month period ended March 31, 2004, dividends
of $.0045 per share were declared on the 784 million shares of common
stock then outstanding.

4. NET INCOME PER SHARE

The following table sets forth the computation of basic and diluted net
income per share (in millions except per share amounts):
<Table>
<Caption>
                                          Three months ended March 31,
                                              2004           2003
                                                    
NUMERATOR:
  Net income available to
    common stockholders                        $76           $26



<Page>
DENOMINATOR:
  Weighted-average shares
    outstanding, basic                         784           785
  Dilutive effect of Employee stock
    Options                                     28            32
  Adjusted weighted-average shares
    outstanding, diluted                       812           817

NET INCOME PER SHARE:
  Basic                                       $.10          $.03
  Diluted                                     $.09          $.03
</Table>

5. FINANCIAL DERIVATIVE INSTRUMENTS

Fuel Contracts - Airline operators are inherently dependent upon energy to
operate and, therefore, are impacted by changes in jet fuel prices.  Jet fuel
and oil consumed in the three month periods ended March 31, 2005 and 2004,
represented approximately 17.9 percent and 16.0 percent, respectively, of
Southwest's operating expenses for those periods.  The Company endeavors to
acquire jet fuel at the lowest possible prices.  Because jet fuel is not
traded on an organized futures exchange, liquidity for jet fuel hedging is
limited.  However, the Company has found commodities for effective hedging of
jet fuel costs, primarily crude oil, heating oil, and unleaded gasoline.  The
Company utilizes financial derivative instruments as hedges to decrease its
exposure to jet fuel price increases.  The Company does not purchase or hold
any derivative financial instruments for trading purposes.

The Company utilizes financial derivative instruments for both short-term and
long-term time frames.  In addition to the significant hedging positions the
Company had in place for the first three months of 2005, the Company also has
significant future hedging positions.  The Company currently has a mixture of
purchased call options, collar structures, and fixed price swap agreements in
place to hedge approximately 85 percent of its remaining 2005 total
anticipated jet fuel requirements that effectively cap crude oil-equivalent
prices at $26 per barrel.  As of March 31, 2005, the "spot" market price for
a barrel of crude oil was over $55.  The Company is also 65 percent hedged
for 2006 at approximately $32 per barrel, over 45 percent hedged for 2007 at
approximately $31 per barrel, 30 percent hedged for 2008 at approximately $33
per barrel, and 25 percent hedged for 2009 at approximately $35 per barrel.
As of March 31, 2005, the majority of the Company's remaining 2005 hedges are
effectively in the form of unleaded gasoline-based and heating oil-based
option contracts.  The majority of the remaining hedge positions are crude
oil-based positions.

The Company accounts for its fuel hedge derivative instruments as cash flow
hedges, as defined in Statement of Financial Accounting Standards No. 133,
Accounting for Derivative Instruments and Hedging Activities, as amended
(SFAS 133).  All changes in fair value that are considered to be effective,
as defined, are recorded in "Accumulated other comprehensive income" until
the underlying jet fuel is consumed.  The fair value of the Company's
financial derivative instruments at March 31, 2005, was a net asset of
approximately $1.7 billion.  The current portion of this net asset,
approximately $790 million, is classified as "Fuel hedge contracts" and the
noncurrent portion, approximately $929 million, is classified in "Other

<Page>
assets" in the Condensed Consolidated Balance Sheet.  The fair value of the
derivative instruments, depending on the type of instrument, was
determined by the use of present value methods or standard option value
models with assumptions about commodity prices based on those observed in
underlying markets.

During the three months ended March 31, 2005 and 2004, the Company recognized
$155 million and $63 million in gains in "Fuel and oil" expense,
respectively, from hedging activities.  During the three months ended March
31, 2005 and 2004, the Company also recognized approximately $27 million
and $6 million, respectively, of additional income in "Other (gains) losses,
net," related to the ineffectiveness of its hedges.  Ineffectiveness is
inherent in hedging jet fuel with derivative positions based in other crude
oil related commodities, especially given the magnitude of the current fair
market value of the Company's fuel hedge derivatives.  Due to the volatility
in markets for crude oil and crude oil related products, the Company is
unable to predict the amount of ineffectiveness each period, which may result
in increased volatility in the Company's results.  The significant increase
in the amount of noncash ineffectiveness recorded during first quarter 2005
was primarily due to the significant increase in energy prices compared to
prior periods, the number of derivative positions the Company holds, as well
as volatility between the different types of products the Company uses in
hedging-specifically between crude oil and heating oil.  As the fair value of
the Company's hedge positions gets larger in amount, there is a higher degree
of probability that there will be more variability in noncash ineffectiveness
recorded in the income statement as small differences in the correlation of
crude oil related products is leveraged over large dollar volumes.  The
Company also recognized approximately $9 million and $6 million of net
expense, respectively, related to amounts excluded from the Company's
measurements of hedge effectiveness, in "Other (gains) losses, net" during
first quarter 2005, and first quarter 2004.

As of March 31, 2005, the Company had approximately $971 million in
unrealized gains, net of tax, in "Accumulated other comprehensive income"
related to fuel hedges.  Included in this total are approximately $456
million in net unrealized gains that are expected to be realized in earnings
during the twelve months following March 31, 2005.

Interest Rate Swaps - In previous periods, the Company has entered into
interest rate swap agreements relating to its $350 million 5.25% senior
unsecured notes due October 1, 2014, its $385 million 6.5% senior unsecured
notes due March 1, 2012 and its $375 million 5.496% Class A-2 pass-through
certificates due November 1, 2006.  Under these interest rate swap
agreements, the Company pays the London InterBank Offered Rate (LIBOR) plus a
margin every six months on the notional amount of the debt, and receives the
fixed stated rate of the notes every six months until the date the notes
become due.

The Company's interest rate swap agreements qualify as fair value hedges, as
defined by SFAS 133.  The fair value of the interest rate swap agreements,
which are adjusted regularly, are recorded in the Company's balance sheet as
an asset or liability, as necessary, with a corresponding adjustment to the
carrying value of the long-term debt.  The fair value of the interest rate
swap agreements, excluding accrued interest, at March 31, 2005 was a
liability of approximately $37 million.  This amount is recorded in "Other

<Page>
deferred liabilities" in the unaudited Condensed Consolidated Balance Sheet.
In accordance with fair value hedging, the offsetting entry is an adjustment
to decrease the carrying value of long-term debt.

6. COMPREHENSIVE INCOME

Comprehensive income included changes in the fair value of certain financial
derivative instruments, which qualify for hedge accounting, and unrealized
gains and losses on certain investments.  For first quarter 2005, the
Company's comprehensive income increased significantly, due to the
substantial change in the fair value of the Company's hedges.  Since
comprehensive income is reported net of tax, there was also a significant
increase in the Company's deferred tax liability compared to December 31,
2004. See Note 5 for further information.  Comprehensive income totaled $631
million and $88 million, respectively, for the three months ended March 31,
2005 and 2004, respectively.  The differences between net income and
comprehensive income for each of these periods was as follows (in millions):
<Table>
<Caption>
                                           Three months ended March 31,
                                               2004           2003
                                                      
Net income                                      $76            $26
  Unrealized gain (loss) on
   derivative instruments,
    net of deferred taxes of $352 and $40       555             61
  Other, net of deferred taxes of $0 and $1       -              1
  Total other comprehensive income              555             62

Comprehensive income                           $631            $88
</Table>

A rollforward of the amounts included in "Accumulated other comprehensive
income," net of taxes, is shown below (in millions):
<Table>
<Caption>
                                                             Accumulated
                                    Fuel                        other
                                    hedge                    comprehensive
                                  derivatives    Other       income (loss)
                                                  
Balance at December 31, 2004       $  416        $  1          $  417
  2005 changes in value               644           -             644
  Reclassification to earnings        (89)          -             (89)
Balance at March 31, 2005          $  971        $  1          $  972
</Table>

7. CONSOLIDATION OF RESERVATIONS CENTERS

In November 2003, the Company announced the consolidation of its nine
Reservations Centers into six, effective February 28, 2004.  This decision was
made in response to the established shift by Customers to the internet as
a preferred way of booking travel.  The Company's website, southwest.com, now
accounts for more than half of ticket bookings and, as a consequence,
demand for phone contact has dramatically decreased.  During first quarter

<Page>
2004, the Company closed its Reservations Centers located in Dallas, Texas,
Salt Lake City, Utah, and Little Rock, Arkansas.  The Company provided the
1,900 affected Employees at these locations the opportunity to relocate to
another of the Company's remaining six centers.  Those Employees choosing not
to relocate, approximately 55% of the total affected, were offered support
packages, which included severance pay, flight benefits, medical coverage,
and job-search assistance, depending on length of service with the Company.
The total cost associated with the Reservations Centers consolidation,
recognized in first quarter 2004, was approximately $18 million.  Employee
severance and benefit costs of $13 million were recorded in "Salaries, wages,
and benefits," and the majority of other costs were reflected in "Other
operating expenses" in the Condensed Consolidated Statement of Income.  Of
the total amount expensed, approximately $2 million remained accrued (not yet
paid) as of March 31, 2005.

8. LONG-TERM DEBT

During February 2005, the Company issued $300 million senior unsecured Notes
(Notes) due 2017.  The Notes bear interest at 5.125 percent, payable semi-
annually in arrears, with the first payment due on September 1, 2005.
Southwest used the net proceeds from the issuance of the Notes, approximately
$296 million, for general corporate purposes.

During first quarter 2005, the Company redeemed its $100 million senior
unsecured 8% Notes on their maturity date of March 1, 2005.

9. OTHER ASSETS AND ACCRUED LIABILITIES
<Table>
<Caption>
                                           March 31,      December 31,
                                             2005            2004
                                                   
Noncurrent fuel hedge contracts,
  at fair value                              $929            $368
Other                                          80              74
  Other assets                             $1,009            $442
</Table>
<Table>
<Caption>
                                           March 31,      December 31,
                                             2005            2004
                                                   
Counterparty fuel hedge deposits             $820            $330
Accrued vacation pay                          123             120
Accrued aircraft rent                         114             127
Accrued profitsharing                         109              89
Deferred income taxes                         243             218
Other                                         202             163
  Accrued liabilities                      $1,611          $1,047
</Table>
10. POSTRETIREMENT BENEFITS

The following table sets forth the Company's periodic postretirement benefit
cost for each of the interim periods identified:



<Page>
<Table>
<Caption>
                                        Three months ended March 31,
(In millions)                               2005           2004
                                                 
Service cost                                 $3             $3
Interest cost                                 1              1
Amortization of prior service cost            -              1
Recognized actuarial loss                     -              -

Net periodic postretirement benefit cost     $4             $5
</Table>

11. RECENTLY ISSUED ACCOUNTING STANDARDS

In December 2004, the FASB issued SFAS No. 123R, "Share-Based Payment".  SFAS
No. 123R is a revision of SFAS No. 123, "Accounting for Stock Based
Compensation", and supersedes APB 25.  Among other items, SFAS 123R
eliminates the use of APB 25 and the intrinsic value method of accounting,
and requires companies to recognize the cost of employee services received in
exchange for awards of equity instruments, based on the grant date fair value
of those awards, in the financial statements.  The effective date of SFAS
123R is the first reporting period beginning after June 15, 2005, which is
third quarter 2005 for calendar year companies, although early adoption is
allowed.  However, on April 14, 2005, the Securities and Exchange Commission
(SEC) announced that the effective date of SFAS 123R will be suspended until
January 1, 2006, for calendar year companies.

SFAS 123R permits companies to adopt its requirements using either a
"modified prospective" method, or a "modified retrospective" method.  Under
the "modified prospective" method, compensation cost is recognized in the
financial statements beginning with the effective date, based on the
requirements of SFAS 123R for all share-based payments granted after that
date, and based on the requirements of SFAS 123 for all unvested awards
granted prior to the effective date of SFAS 123R.  Under the "modified
retrospective" method, the requirements are the same as under the "modified
prospective" method, but also permits entities to restate financial
statements of previous periods based on proforma disclosures made in
accordance with SFAS 123.

The Company currently utilizes a standard option pricing model (i.e., Black-
Scholes) to measure the fair value of stock options granted to Employees.
While SFAS 123R permits entities to continue to use such a model, the
standard also permits the use of a "lattice" model.  The Company has not yet
determined which model it will use to measure the fair value of employee
stock options upon the adoption of SFAS 123R.

SFAS 123R also requires that the benefits associated with the tax deductions
in excess of recognized compensation cost be reported as a financing cash
flow, rather than as an operating cash flow as required under current
literature.  This requirement will reduce net operating cash flows and
increase net financing cash flows in periods after the effective date.  These
future amounts cannot be estimated because they depend on, among other
things, when employees exercise stock options.


<Page>
The Company currently expects to adopt SFAS 123R effective January 1, 2006,
based on the new effective date announced by the SEC; however, the Company
has not yet determined which of the aforementioned adoption methods it will
use.  In addition, the Company has not yet determined the financial statement
impact of adopting SFAS 123R for periods beyond 2005.




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

Comparative Consolidated Operating Statistics

      Relevant Southwest comparative operating statistics for the three
months ended March 31, 2005 and 2004 are as follows:
<Table>
<Caption>
                                      Three months ended March 31,
                                          2005           2004          Change
                                                          
Revenue passengers carried            17,474,490      15,995,061        9.2 %
Enplaned passengers                   19,780,746      18,190,404        8.7 %
Revenue passenger miles (RPMs) (000s) 13,238,009      11,792,423       12.3 %
Available seat miles (ASMs) (000s)    20,231,599      18,381,592       10.1 %
Load factor                                65.4%           64.2%     1.2 pts.
Average length of passenger haul (miles)     758             737        2.8 %
Average aircraft stage length (miles)        596             568        4.9 %
Trips flown                              249,119         238,469        4.5 %
Average passenger fare                    $91.15          $89.28        2.1 %
Passenger revenue yield per RPM (cents)    12.03           12.11       (0.7)%
Operating revenue yield per ASM (cents)     8.22            8.07        1.9 %
Operating expenses per ASM (cents)          7.70            7.82       (1.5)%
Operating expenses per ASM,
  excluding fuel (cents)                    6.32            6.57       (3.8)%
Fuel costs per gallon,
  excluding fuel tax (cents)                90.3            79.6       13.4 %
Fuel consumed, in gallons (millions)         307             287        7.0 %
Number of Employees at period-end         30,974          31,522       (1.7)%
Size of fleet at period-end                  424             393        7.9 %
</Table>


Material Changes in Results of Operations

      Summary

      The operating environment for airlines continued to present significant
challenges for the industry during first quarter 2005.  The price of fuel, an
airline's second largest expense after labor, reached record-high levels, and
stubbornly remained at historically elevated levels, with crude oil prices
exceeding $45 per barrel for nearly the entire first quarter 2005.  What
makes this especially significant is not the fact that prices have spiked
upwards-brief ascents are common occurrences for volatile commodities such as
energy-but the fact that prices have remained at historically high

<Page>
levels for a significant period of time.  This has not happened in past
periods.  Fortunately, the Company's hedging program greatly mitigated these
record-high market fuel prices during first quarter 2005, as hedging gains
reduced fuel and oil expense by $155 million.  In addition, the Company
recorded $27 million in "Other gains" in accordance with SFAS 133.  See Note
5 to the unaudited condensed consolidated financial statements.  However,
even with the Company's strong hedging position, fuel cost per gallon
increased 13.4 percent versus the same prior year period.

      Despite this cost pressure and the weak airline industry revenue
environment, first quarter 2005 was the Company's 56th consecutive quarterly
profit and represented a significant increase in profits compared to first
quarter 2004..  The Company's first quarter 2005 net income was $76
million ($.09 per share, diluted), an increase of $50 million, or 192.3
percent, compared to first quarter 2004 net income of $26 million ($.03 per
share, diluted).  Operating income increased $60 million, or 130.4 percent
compared to first quarter 2004.  This significant increase in operating
income was due to a 1.9 percent increase in RASM (revenue per available seat
mile) and to the Company's ongoing cost reduction efforts, which resulted in
a 1.5 percent decrease in CASM (cost per available seat mile.)

      A portion of the CASM decrease was due to first quarter 2004 costs
associated with the Company's Reservations Centers consolidation.  Excluding
these costs, however, year-over-year unit costs also decreased slightly.  See
Note 7 to the unaudited condensed consolidated financial statements for more
information on the Reservations Centers consolidation.  The decrease was in
part due to an increase in the productivity of the Company's workforce.  As a
result, the Company has been able to expand flights while simultaneously
decreasing overall headcount.  At March 31, 2005, the Company's headcount per
aircraft was 73 versus a year-ago level of 80.  Items contributing to the
reduction in headcount include: shifting ticket distribution to the internet,
allowing the Company to decrease its investment in "brick and mortar"
reservations centers (see Note 7 to the unaudited condensed consolidated
financial statements); the use of RAPID CHECK-IN kiosks at the airport; the
ability to obtain boarding passes via the internet at www.southwest.com;
initiatives to re-allocate headcount by offering transfer opportunities to
Employees in departments that may be overstaffed to areas where the Company
is continuing to grow; and during 2004 offering a voluntary early out option
to all of its Employees, except officers. These and other initiatives helped
the Company to absorb cost pressures, such as higher wage rates and the
increase in fuel prices.

      Based on recent trends, the Company does not expect second quarter 2005
unit costs, excluding fuel, to significantly exceed first quarter 2005's 6.32
cents per ASM.  The Company also expects our 2005 annual CASM, excluding
fuel, to be in line with, or below, 2004 levels. The Company will also begin
service to Pittsburgh, Pennsylvania, in May 2005.

Comparison of three months ended March 31, 2005, to three months ended March
31, 2004

Revenues

      Consolidated operating revenues increased by $179 million, or 12.1
percent, primarily due to a $164 million, or 11.5 percent, increase in

<Page>
passenger revenues.  The increase in passenger revenues was primarily due to
a 12.3 percent increase in revenue passenger miles (RPMs) flown.

      First quarter 2005 capacity, as measured by available seat miles
(ASMs), increased 10.1 percent compared to first quarter 2004.  The capacity
increase resulted from the net addition of 31 aircraft (net of 21
retirements) since the end of first quarter 2004.  The first quarter 2005
load factor was 65.4 percent, an increase of 1.2 points compared to 2004.
The Company also experienced a 9.2 percent increase in revenue passengers
carried compared to first quarter 2004.

      The first quarter 2005 passenger yield per RPM decreased .7 percent to
12.03 cents from 12.11 cents in first quarter 2004.  The lower RPM yield was
primarily due to heavy fare discounting arising as a result of the glut in
industry seats available, but was partially offset by modest fare increases
since first quarter 2004.  Unit revenue (operating revenue per ASM) increased
1.9 percent to 8.22 cents compared to first quarter 2004, however, as higher
load factors and stronger freight and other revenues slightly offset the
decline in RPM yield.  The Company's March and first quarter 2005 passenger
traffic benefited from the inclusion of the Easter Holiday, compared to 2004,
when Easter fell in April.  Revenue trends were also favorably impacted by
the Company's recent codeshare agreement with ATA Airlines Inc., and by
competitive capacity reductions in certain markets.  At the current juncture,
it appears likely that, due to the timing of the Easter holiday, second
quarter 2005 load factors will decline relative to last year's record levels.
Therefore, it is difficult to predict whether or not the Company will have
favorable year-over-year passenger unit revenue comparisons in second quarter
2005.  However, since April 2005 unit revenue could be down as much as 5
percent on a year-over-year basis, it will be a challenge to match second
quarter 2004's unit revenue of 9.14 cents.

      Consolidated freight revenues increased by $9 million, or 36.0 percent.
Approximately 75 percent of the increase was due to an increase in mail
revenues, as the U.S. Postal Service shifted more business to commercial
carriers.  The Company epxects year-over-year freight revenue growth in second
quarter 2005; however, at a lower rate than in first quarter 2005.  Other
revenues increased by $6 million, or 19.4 percent, compared to first quarter
2004 primarily due to a 21.8 percent increase in commissions earned from
programs the Company sponsors with certain business partners, such as the
Company sponsored Chase Visa card.  The Company expects second quarter 2005
revenues to be similar to first quarter 2005's Other revenues of $37 million.

Operating expenses

      To a large extent, changes in operating expenses for airlines are
driven by changes in capacity, or ASMs.  The following presents Southwest's
operating expenses per ASM for the three months ended March 31, 2005 and
2004, followed by explanations of changes on a per-ASM basis:
<Table>
<Caption>
                              Three months ended March 31,  Per ASM   Percent
                                   2005          2004        Change   Change
                                                         
Salaries, wages, and benefits      3.16          3.21        (.05)    (1.6)
Fuel and oil                       1.38          1.25         .13     10.4
Maintenance materials
  and repairs                       .50           .62        (.12)   (19.4)
Aircraft rentals                    .21           .24        (.03)   (12.5)
Landing fees and other rentals      .56           .56           -        -
Depreciation                        .55           .56        (.01)    (1.8)
Other operating expenses           1.34          1.38        (.04)    (2.9)

Total                              7.70          7.82        (.12)    (1.5)
</Table>
<Page>

      Operating expenses per ASM were 7.70 cents, a 1.5 percent decrease
compared to 7.82 cents for first quarter 2004.  The CASM decrease was driven
primarily by lower maintenance costs and lower salaries, wages, and benefits,
partially offset by higher fuel and oil expense.  Excluding fuel, CASM was
3.8 percent lower than first quarter 2004, at 6.32 cents per ASM.

      Salaries, wages, and benefits expense per ASM decreased 1.6 percent.
In first quarter 2004, salaries, wages, and benefits included approximately
$13 million of costs related to severance and relocation packages and a
reduction of approximately $3 million in profitsharing expense associated
with the consolidation of the Company's reservations operations.  See Note 7
to the condensed consolidated financial statements for further information on
the Company's Reservations Centers consolidation.  Excluding these costs,
salaries, wages, and benefits were basically flat on a per ASM basis compared
to first quarter 2004.  Higher average wage rates and higher profitsharing
expense per ASM from the increase in earnings were offset by continued
productivity efforts that have enabled the Company to reduce headcount while
continuing to grow its aircraft fleet.  The Company expects these trends to
continue and to experience lower year-over-year unit cost in Salaries, wages,
and benefits in second quarter 2005, excluding the second quarter 2004 costs
incurred associated with the Company's voluntary early-out plan offered to all
Employees except officers, and charges associated with the Company's labor
agreement with its Flight Attendants.

      Fuel and oil expense per ASM increased 10.4 percent primarily due to an
increase in the average jet fuel price per gallon.  The average fuel cost per
gallon in first quarter 2005 was 90.3 cents, 13.4 percent higher than first
quarter 2004, including the effects of hedging activities.  For first quarter
2005, the Company was hedged for 86 percent of its fuel needs, resulting in
gains recorded in fuel and oil expense of $155 million.  In other efforts to
control fuel expense, the Company has added Blended Winglets to all of its
Boeing 737-700 aircraft.  These enhancements extend the range of these
aircraft, enable the aircraft to burn less fuel, lower potential engine
maintenance costs, and reduce takeoff noise.  All new 737-700 aircraft now
arrive from Boeing with winglets already installed.  The Company expects
annual fuel consumption savings of approximately three percent for each
aircraft outfitted with the winglets. For second quarter 2005, the Company
has fuel hedges in place for approximately 83 percent of its expected fuel
consumption with a combination of derivative instruments that effectively cap
prices at approximately $26 per barrel of crude oil.  The majority of the
Company's near term hedge positions are in the form of option contracts. During
the first three months of 2005, because of the continued rise in energy prices,
the fair values of the Company's fuel hedge contracts have increased
significantly.  At March 31, 2005, the estimated gross fair value of these
contracts was $1.7 billion.  See Note 5 to the unaudited condensed
consolidated financial statements for further discussion of the Company's
hedging activities.



<Page>
      Maintenance materials and repairs per ASM decreased 19.4 percent
primarily due to a decrease in repair events for aircraft engines.  The
Company currently expects a similar year-over-year decline in maintenance
materials and repairs per ASM for second quarter 2005, primarily due to
less scheduled maintenance activity.

      Aircraft rentals per ASM decreased 12.5 percent compared to first
quarter 2004.  The majority of the decrease per ASM was due to the Company's
growth occurring with purchased aircraft.  All of the aircraft acquired in
2004, except for one, and all of the aircraft acquired in 2005, are owned by
the Company.  The Company currently expects a similar year-over-year decline
in aircraft rentals per ASM for second quarter 2005.

      Landing fees and other rentals per ASM were flat compared to first
quarter 2004, as higher landing fees per ASM were offset by a decline in
other rentals per ASM.  The Company experienced an 8.0 percent increase in
landing fees per ASM, primarily due to higher rates paid.  There was a 6.5
percent decrease in other rentals expense per ASM, primarily due to first
quarter 2005 credits from airports' audits of prior periods.  The Company
currently expects second quarter 2005 landing fees and other rentals per ASM
to be flat or slightly up from second quarter 2004.

      Depreciation expense per ASM decreased 1.8 percent primarily due to the
retirement of equipment associated with the Company's 737-200 aircraft, the
remainder of which were phased out of the Company's fleet in January 2005.
The Company currently expects depreciation per ASM to be comparable to first
quarter 2005.

      Other operating expenses per ASM decreased 2.9 percent compared to
first quarter 2004.  Approximately half of the decrease was due to certain
first quarter 2004 asset write-offs, including assets written off in
connection with the Reservations Centers consolidation.  See Note 7 to the
condensed consolidated financial statements.  The remainder of the decrease
was primarily due to lower personnel costs, principally moving costs incurred
in first quarter 2004, also associated with the Reservations Centers
consolidation.  These and other smaller decreases were partially offset by
higher fuel sales taxes due to the substantial increase in fuel prices.  The
Company currently expects Other operating expenses per ASM for second quarter
2005 to approximate the 1.34 cents per ASM experienced in first quarter 2005.

      Through the 2003 Emergency Wartime Supplemental Appropriations Act, the
federal government has continued to provide supplemental third-party war-risk
insurance coverage to commercial carriers for renewable 60-days periods, at
substantially lower premiums than prevailing commercial rates and for levels
of coverage not available in the commercial market.   The government-provided
supplemental coverage from the Wartime Act is currently set to expire
on August 31, 2005, but is currently expected to be extended to December 31,
2005. If such coverage is not extended by the government beyond either of
these dates, the Company could incur substantially higher insurance costs.

Other

      Interest expense increased 42.1 percent compared to first quarter 2004.
The majority of the increase was due to the issuance of new debt, including
the Company's September 2004 issuance of $350 million senior unsecured Notes,

<Page>
fourth quarter 2004 issuance of $112 million of French credit agreements, and
the February 2005 issuance of $300 million senior unsecured Notes.  These new
issuances were partially offset by the November 2004 redemption of $175
million aircraft secured Notes, and the March 2005 redemption of $100 million
senior unsecured Notes.  See Note 8 to the unaudited condensed consolidated
financial statements for more information.

      Capitalized interest decreased by $1 million, or 10.0 percent,
primarily due to a decrease in progress payment balances for future aircraft
deliveries.

      Interest income increased by $3 million, or 75.0 percent, primarily due
to an increase in rates earned on cash and investment balances.

      "Other (gains) losses, net" primarily includes amounts recorded in
accordance with SFAS 133.  See Note 5 to the unaudited condensed consolidated
financial statements for more information on the Company's hedging
activities.  During first quarter 2005, the Company recognized approximately
$9 million of expense related to amounts excluded from the Company's
measurements of hedge effectiveness and $27 million in income related to the
ineffectiveness of its hedges.  In first quarter 2004, the Company recognized
approximately $6 million of expense related to amounts excluded from the
Company's measurements of hedge effectiveness and $6 million in income
related to the ineffectiveness of its hedges.

      The Company's effective tax rate decreased to 33.1 percent in first
quarter 2005 from 37.9 percent in first quarter 2004.  The lower rate in 2005
reflected a $6 million ($.01 per share, diluted) reduction in income tax
expense, attributable to the favorable resolution of an industry-wide issue
regarding the tax treatment of certain aircraft engine maintenance costs.
The Company currently expects its second quarter 2005 effective rate to
approximate 38 percent and its full year 2005 effective rate to be in the 37 to
38 percent range.


Liquidity and Capital Resources

      Net cash provided by operating activities was $886 million for the
three months ended March 31, 2005, compared to $417 million in the same prior
year period.  The increase was primarily due to an increase in Accounts
payable and accrued liabilities, primarily from $490 million more in
counterparty deposits associated with the Company's fuel hedging program.
See Item 3, and Notes 5 and 9 to the unaudited condensed consolidated
financial statements.  Net cash provided by operating activities was $1.6
billion for the 12 months ended March 31, 2005.  Cash generated from
operating activities for the 12 months ended March 31, 2005, was primarily
used to finance capital expenditures.

      Cash flows used in investing activities during the three months ended
March 31, 2005, totaled $172 million compared to $321 million in 2004.
Investing activities in both years consisted primarily of payments for new
737-700 aircraft delivered to the Company and progress payments for future
aircraft deliveries.  In addition, investing activities now includes changes
in the Company's balance of short-term investments, namely auction rate
securities, which represents a change in classification from prior periods.

<Page>
See Note 1 to the condensed consolidated financial statements.  Cash flows
used in investing activities for the 12 months ended March 31, 2005 totaled
$1.6 billion.

      Net cash generated from financing activities during the three months
ended March 31, 2005, was $146 million compared to $98 million used in
financing activities in 2004.  The Company generated $300 million from the
February 2005 issuance of senior unsecured Notes due 2017.  This was
partially offset by cash used to redeem the $100 million senior unsecured 8%
Notes due March 1, 2005, and to repurchase $55 million of the Company's
common stock.

Contractual Obligations and Contingent Liabilities and Commitments

      Southwest has contractual obligations and commitments primarily for
future purchases of aircraft, payment of debt, and lease arrangements.
Following the receipt of 12 new 737-700 aircraft from Boeing in the first
three months of 2005, the Company has 22 737-700 aircraft deliveries for the
remainder of 2005.  Following the first quarter exercise of options to
purchase an additional seven aircraft in 2006, the Company has firm
commitments for the purchase of 33 new 737-700 aircraft to be delivered in
2006, along with an option for one additional aircraft.  The following table
details the Company's current (as of March 31, 2005) firm orders, options,
and purchase rights through 2012.
<Table>
<Caption>
                  Current Schedule
                  Firm     Options*
                    
2005**             34         -
2006               33         1
2007               25        29
2008                6        45
2009-2012           -       177
Total              98       252

*    Includes purchase rights
**   Includes 12 aircraft delivered through March 31, 2005
</Table>


      The following table details information on the 424 aircraft in the
Company's fleet as of March 31, 2005:
<Table>
<Caption>
                      Average        Number        Number      Number
737 Type   Seats	   Age (Yrs)     of Aircraft     Owned	   Leased
                                               
- -300        137        13.9           194           110          84
- -500        122        13.9            25            16           9
- -700        137         3.4           205           203           2

TOTALS                  8.8           424           297          95
</Table>
<Page>


      The Company has the option, which must be exercised two years prior to
the contractual delivery date, to substitute -600s or -800s for the -700s.
Aggregate funding needed for firm aircraft commitments, as of March 31, 2005,
was approximately $1.8 billion, subject to adjustments for inflation, due as
follows: $600 million remaining in 2005, $699 million in 2006, $420 million
in 2007, and $80 million thereafter.

      In January 2004, the Company's Board of Directors authorized the
repurchase of up to $300 million of the Company's common stock, utilizing
proceeds from the exercise of Employee stock options.  Repurchases have been
made in accordance with applicable securities laws in the open market or in
private transactions from time to time, depending on market conditions.
During first quarter 2005, the Company completed this program by repurchasing
3.9 million shares.  See Item 2 of Part II of this filing for further
information.

      The Company has various options available to meet its capital and
operating commitments, including cash on hand at March 31, 2005, of $1.9
billion, internally generated funds, and the Company's fully available $575
million revolving credit facility.  The Company will also consider
various borrowing or leasing options to maximize earnings and supplement cash
requirements.

      During first quarter 2005, the Company issued $300 million senior
unsecured Notes (Notes) due 2017.  The Notes bear interest at 5.125 percent,
payable semi-annually in arrears, with the first payment due on September 1,
2005. Also during first quarter 2005, the Company redeemed its $100 million
8% senior unsecured notes on the maturity date of March 1, 2005.  See Note 8
to the condensed consolidated financial statements.

      The Company currently has outstanding shelf registrations for the
issuance of up to $350 million in public debt securities and pass through
certificates, which it may utilize for aircraft financings or other purposes
in the future.

Forward looking statements

Some statements in this Form 10-Q (or otherwise made by the Company or on the
Company's behalf from time to time in other reports, filings with the
Securities and Exchange Commission, news releases, conferences, World Wide
Web postings or otherwise) which are not historical facts may be "forward-
looking statements" within the meaning of Section 21E of the Securities
Exchange Act of 1934 and the Private Securities Litigation Reform Act of
1995. Forward-looking statements include statements about Southwest's
estimates, expectations, beliefs, intentions, or strategies for the future,
and the assumptions underlying these forward-looking statements. Southwest
uses the words "anticipates," "believes," "estimates," "expects," "intends,"
"forecasts," "may," "will," "should," and similar expressions to identify
these forward-looking statements. Forward-looking statements involve risks
and uncertainties that could cause actual results to differ materially from
historical experience or the Company's present expectations. Factors that
could cause these differences include, but are not limited to:

- - Items directly linked to the September 11, 2001, terrorist attacks, such as
  the adverse impact of new airline and airport security directives on the

<Page>
  Company's costs and Customer demand for travel, changes in the
  Transportation Security Administration's scope for managing U.S. airport
  security, and the possibility of further terrorist attacks or additional
  incidents that could cause the public to question the safety and/or
  efficiency of air travel.

- - The availability and cost of war-risk and other aviation insurance,
  including the federal government's provision of third party war-risk
  coverage to airlines.  The government's coverage currently extends to
  August 31, 2005, and the Company expects it will be extended further to
  December 31, 2005, by the Department of Transportation.  However, there
  are no assurances that such coverage will be extended beyond August 31,
  2005 or December 31, 2005.

- - War or other military actions by the U.S. or others.

- - Competitive factors, such as fare sales and capacity decisions by the
  Company and its competitors, changes in competitors' flight schedules,
  mergers and acquisitions, codesharing programs, and airline bankruptcies.

- - General economic conditions, which could adversely affect the demand for
  travel in general and consumer ticket purchasing habits, as well as
  decisions by major freight Customers on how they allocate freight
  deliveries among different types of carriers.

- - Factors that could affect the Company's ability to control its costs, such
  as the results of Employee labor contract negotiations, Employee hiring and
  retention rates, costs for health care, capacity decisions by the Company
  and its competitors, unscheduled required aircraft airframe or engine
  repairs and regulatory requirements, changes in commission policy,
  availability of capital markets, and future financing decisions made by the
  Company.

- - Factors affecting the Company's fuel expense, including, but not limited
  to, the largely unpredictable prices of jet fuel, crude oil, heating oil,
  and unleaded gasoline, the continued effectiveness of the Company's fuel
  hedges, changes in the Company's overall fuel hedging strategy, and the
  Company's interpretation and application of the complex requirements of
  SFAS 133, Accounting for Derivative Instruments and Hedging Activities, as
  amended.

- - Disruptions to operations due to adverse weather conditions and air traffic
  control-related constraints.

- - Internal failures of technology or large-scale external interruptions in
  technology infrastructure, such as power, telecommunications, or the
  internet.

- - Risks involved with the Company's acquisition of certain assets from ATA
  Airlines, Inc. (ATA), including the collectibility of loans made to ATA,
  and the continued success of the Company's codeshare agreement with ATA.

Caution should be taken not to place undue reliance on the Company's forward-
looking statements, which represent the Company's views only as of the date


<Page>
this report is filed. The Company undertakes no obligation to update publicly
or revise any forward-looking statement, whether as a result of new
information, future events or otherwise.

Item 3.  Quantitative and Qualitative Disclosures About Market Risk

As discussed in Note 5 to the unaudited condensed consolidated financial
statements, the Company utilizes financial derivative instruments to hedge
its exposure to material increases in jet fuel prices.  During the first
three months of 2005, because of the continued upward trend in energy
prices, the fair values of the Company's fuel hedge contracts have increased
significantly.  At March 31, 2005, the estimated gross fair value of
outstanding contracts was $1.7 billion, compared to $796 million at December
31, 2004.

Outstanding financial derivative instruments expose the Company to credit
loss in the event of nonperformance by the counterparties to the agreements.
However, the Company does not expect any of the counterparties to fail to
meet their obligations.  The credit exposure related to these financial
instruments is represented by the fair value of contracts with a positive
fair value at the reporting date.  To manage credit risk, the Company selects
and periodically reviews counterparties based on credit ratings, limits its
exposure to a single counterparty, and monitors the market position of the
program and its relative market position with each counterparty. At March 31,
2005, the Company had agreements with seven counterparties containing early
termination rights and/or bilateral collateral provisions whereby security is
required if market risk exposure exceeds a specified threshold amount or
credit ratings fall below certain levels.  At March 31, 2005, the Company
held $820 million in fuel hedge related cash collateral deposits and $150
million in U.S. Treasury Bills, under these bilateral collateral provisions.
These collateral deposits serve to decrease, but not totally eliminate, the
credit risk associated with the Company's hedging program. The cash deposits,
which can have a significant impact on the Company's cash balance and cash
flows as of and for a particular operating period, are included in "Accrued
liabilities" on the Consolidated Balance Sheet and are included as "Operating
cash flows" in the Consolidated Statement of Cash Flows.  In accordance with
SFAS 140, "Accounting for Transfers and Servicing of Financial Assets and
Extinguishments of Liabilities", the U.S. Treasury Bills, supplied as non-
cash collateral by counterparties, are not reflected on the Company's
Consolidated Balance Sheet.  See also Note 9 to the unaudited condensed
consolidated financial statements.

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, 2004
and Note 5 to the unaudited condensed consolidated financial statements for
further information about Market Risk.

Item 4. Controls and Procedures

Disclosure Controls and Procedures

The Company maintains disclosure controls and procedures designed to ensure
that it is able to collect the information it is required to disclose in the
reports it files with the Securities and Exchange Commission (SEC), and to
process, summarize and disclose this information within the time periods

<Page>
specified in the rules of the SEC. Based on an evaluation of the Company's
disclosure controls and procedures as of the end of the period covered by
this report conducted by the Company's management, with the participation of
the Chief Executive and Chief Financial Officers, the Chief Executive and
Chief Financial Officers believe that these controls and procedures are
effective to ensure that the Company is able to collect, process, and
disclose the information it is required to disclose in the reports it files
with the SEC within the required time periods.

Internal Control over Financial Reporting.  During first quarter 2005, the
Company implemented a new fuel inventory management application that improved
the efficiency of the Company 's fuel purchasing, inventory, and payment
processes.  As with any new information technology application the Company
implements, this application, along with the internal controls over financial
reporting included in this process, were appropriately tested for
effectiveness prior to implementation.  The Company expects this new
application to improve its internal controls over financial reporting for its
fuel management process.

PART II. OTHER INFORMATION

Item 1.    Legal Proceedings

The Company is subject to various legal proceedings and claims arising in the
ordinary course of business, including, but not limited to, examinations by
the Internal Revenue Service (IRS).  The IRS regularly examines the Company's
federal income tax returns and, in the course thereof, proposes adjustments
to the Company's federal income tax liability reported on such returns.  It
is the Company's practice to vigorously contest those proposed adjustments it
deems lacking of merit.

The Company's management does not expect that the outcome in any of its
currently ongoing legal proceedings or the outcome of any proposed
adjustments presented to date by the IRS, individually or collectively, will
have a material adverse effect on the Company's financial condition, results
of operations or cash flow.

Item 2.    Unregistered Sales of Equity Securities and Use of Proceeds

(c)

                    Issuer Purchases of Equity Securities (1)

<Table>
<Caption>
                  (a)            (b)              (c)                (d)
                                            Total number of    Maximum dollar
                                           shares purchased    value that may
             Total number      Average  as part of publicly  yet be purchased
               of shares     price paid     announced plans   under the plans
   Period      purchased      per share       or programs       or programs
                                                
January 1,
 2005 through
  January 31,
   2005        2,400,000       $14.16          2,400,000         $20,370,022
<Page>
February 1,
 2005 through
  February 28,
   2005        1,458,500       $14.38          1,458,500        $          -
March 1,
 2005 through
  March 31,
   2005                -       $    -                  -        $          -

     Total (2) 3,858,500                       3,858,500
</Table>

(1) On January 22, 2004, the Company announced a program for the repurchase
    of up to $300 million of the Company's common stock, utilizing present
    and anticipated proceeds from the exercise of Employee stock options.
    Repurchases were made in accordance with applicable securities laws in
    the open market or in private transactions from time to time, depending
    on market conditions.  The program was completed during first quarter
    2005.

(2) All shares were purchased pursuant to the publicly announced program.


Item 3.     Defaults upon Senior Securities

None

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

None

Item 5.     Other Information

None

Item 6.     Exhibits

a) Exhibits

      10.1  Supplemental Agreements Nos. 42, 43, and 44 to Purchase Agreement
            No. 1810, dated January 19, 1994 between The Boeing Company and
            Southwest.  Pursuant to 17 CFR 240.24b-2, confidential
            information has been omitted and has been filed separately with
            the Securities and Exchange Commission pursuant to a
            Confidential Treatment Application filed with the Commission.
      31.1  Rule 13a-14(a) Certification of Chief Executive Officer
      31.2  Rule 13a-14(a) Certification of Chief Financial Officer
      32.1  Section 1350 Certifications of Chief Executive Officer and Chief
            Financial Officer







<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.

April 15, 2005                                    By /s/  Laura Wright

                                                     Laura Wright
                                                     Chief Financial Officer
                                                     (Principal Financial and
                                                      Accounting Officer)









































<Page>
                                EXHIBIT INDEX



Exhibit No.                        Description

Exhibit 10.1      -     Supplemental Agreements Nos. 42, 43, and 44 to
                        Purchase Agreement No. 1810, dated January 19, 1994
                        between The Boeing Company and Southwest.  Pursuant
                        to 17 CFR 240.24b-2, confidential information has
                        been omitted and has been filed separately with the
                        Securities and Exchange Commission pursuant to a
                        Confidential Treatment Application filed with the
                        Commission.

Exhibit 31.1      -     Rule 13a-14(a) Certification of Chief Executive
                        Officer

Exhibit 31.2      -     Rule 13a-14(a) Certification of Chief Financial
                        Officer

Exhibit 32.1      -     Section 1350 Certifications of Chief Executive
                        Officer and Chief Financial Officer
<Page>