<PAGE>   1


                                 Form 10-Q/A
                     Amendment No. 1 to Quarterly Report
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                           -------------------------

                                     [X]

                 For the quarterly period ended June 30, 1995

                                     OR

                                     [ ]

                For the transition period from             to
                                               -----------    ----------

                        Commission File Number 0-11097

                      Atlantic Southeast Airlines, Inc.
                      ---------------------------------
            (Exact name of registrant as specified in its charter)


                 Georgia                           58-1354495
                 -------                           ----------
         (State or other jurisdiction of           (I.R.S. Employer
         incorporation or organization)            Identification Number)


         100 Hartsfield Centre Parkway, Suite 800, Atlanta, Georgia 30354
         ------------------------------------------------------------------
         (Address of principal executive offices)                (Zip Code)


         Registrant's telephone number including area code: (404) 766-1400
                                                            --------------




                                      -1-
<PAGE>   2



                                    PART II


Item 6.          Exhibits and Reports on Form 8-K
                 The following exhibits originally filed with the Quarterly
                 Report on Form 10-Q for the period ended June 30, 1995, are 
                 filed as part of this report and amended as indicated therein.
                 The exhibit number refers to Item 601 of Regulation S-K.


         10(d)   Sublease Agreement, Sublease Supplement, Sublease Tax 
                 Indemnity Agreement and Nondisturbance and Recognition
                 Agreement for Aircraft N630AS dated June 22, 1995

         10(e)   Sublease Agreement, Sublease Supplement, Sublease Tax 
                 Indemnity Agreement and Nondisturbance and Recognition
                 Agreement for Aircraft N631AS dated June 22, 1995

         10(f)   Sublease Agreement, Sublease Supplement, Sublease Tax 
                 Indemnity Agreement and Nondisturbance and Recognition
                 Agreement for Aircraft N632AS dated June 22, 1995

         10(g)   Sublease Agreement, Sublease Supplement, Sublease Tax 
                 Indemnity Agreement and Nondisturbance and Recognition
                 Agreement for Aircraft N633AS dated June 22, 1995

         10(h)   Sublease Agreement, Sublease Supplement, Sublease Tax 
                 Indemnity Agreement and Nondisturbance and Recognition
                 Agreement for Aircraft N634AS dated June 22, 1995

         10(i)   Sublease Agreement, Sublease Supplement, Sublease Tax 
                 Indemnity Agreement and Nondisturbance and Recognition
                 Agreement for Aircraft N635AS dated June 22, 1995

         10(j)   Sublease Agreement, Sublease Supplement, Sublease Tax 
                 Indemnity Agreement and Nondisturbance and Recognition
                 Agreement for Aircraft N636AS dated June 22, 1995

         10(k)   Sublease Agreement, Sublease Supplement, Sublease Tax 
                 Indemnity Agreement and Nondisturbance and Recognition
                 Agreement for Aircraft N637AS dated June 22, 1995

                                     -2-

<PAGE>   3
                                   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.





                                        Atlantic Southeast Airlines, Inc.

                                        /s/ Ronald V. Sapp
                                        ---------------------------------
                                        Ronald V. Sapp
                                        V.P. Finance, Treasurer and
                                        Chief Financial Officer



Date: February 22, 1996


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<PAGE>   4

                                EXHIBIT INDEX
                                -------------


Exhibit Number and Description
------------------------------


10(d)    Sublease Agreement [N630AS] dated as of June 22, 1995, between
         the Company and Antoine Finance Corporation and related Sublease
         Supplement [N630AS] dated June 22, 1995; Sublease Tax Indemnity
         Agreement [N630AS] dated June 22, 1995; and Nondisturbance and
         Recognition Agreement [N630AS] dated June 22, 1995.  (ATTACHED AS
         EXHIBIT 10(d) HERETO) Confidential treatment has been applied for with
         respect to certain provisions of this Exhibit, which provisions have
         been omitted from the Exhibit, marked with an asterisk (*), and filed
         separately with the SEC.                                            

10(e)    Sublease Agreement [N631AS] dated as of June 22, 1995, between
         the Company and Antoine Finance Corporation and related Sublease
         Supplement [N631AS] dated June 22, 1995; Sublease Tax Indemnity
         Agreement [N631AS] dated June 22, 1995; and Nondisturbance and
         Recognition Agreement [N631AS] dated June 22, 1995.  (ATTACHED AS
         EXHIBIT 10(e) HERETO) Confidential treatment has been applied for with
         respect to certain provisions of this Exhibit, which provisions have
         been omitted from the Exhibit, marked with an asterisk (*), and filed
         separately with the SEC.                                       

10(f)    Sublease Agreement [N632AS] dated as of June 22, 1995, between
         the Company and Antoine Finance Corporation and related Sublease
         Supplement [N632AS] dated June 22, 1995; Sublease Tax Indemnity
         Agreement [N632AS] dated June 22, 1995; and Nondisturbance and
         Recognition Agreement [N632AS] dated June 22, 1995.  (ATTACHED AS
         EXHIBIT 10(f) HERETO) Confidential treatment has been applied for with
         respect to certain provisions of this Exhibit, which provisions have
         been omitted from the Exhibit, marked with an asterisk (*), and filed
         separately with the SEC.

10(g)    Sublease Agreement [N633AS] dated as of June 22, 1995, between
         the Company and Antoine Finance Corporation and related Sublease
         Supplement [N633AS] dated June 22, 1995; Sublease Tax Indemnity
         Agreement [N633AS] dated June 22, 1995; and Nondisturbance and
         Recognition Agreement [N633AS] dated June 22, 1995.  (ATTACHED AS 
         EXHIBIT 10(g) HERETO) Confidential treatment has been applied for with
         respect to certain provisions of this Exhibit, which provisions have
         been omitted from the Exhibit, marked with an asterisk (*), and filed
         separately with the SEC.

10(h)    Sublease Agreement [N634AS] dated as of June 22, 1995, between the     
         Company and Antoine Finance Corporation and related Sublease
         Supplement [N634AS] dated June 22, 1995; Sublease Tax Indemnity
         Agreement [N634AS] dated June 22, 1995; and Nondisturbance and
         Recognition Agreement [N634AS] dated June 22, 1995.  (ATTACHED AS
         EXHIBIT 10(h) HERETO) Confidential treatment has been applied for with
         respect to certain provisions of this Exhibit, which provisions have
         been omitted from the Exhibit, marked with an asterisk (*), and filed
         separately with the SEC.

10(i)    Sublease Agreement [N635AS] dated as of June 22, 1995, between
         the Company and Antoine Finance Corporation and related Sublease
         Supplement [N635AS] dated June 22, 1995; Sublease Tax Indemnity
         Agreement [N635AS] dated June 22, 1995; and Nondisturbance and
         Recognition Agreement [N635AS] dated June 22, 1995.  (ATTACHED AS
         EXHIBIT 10(i) HERETO) Confidential treatment has been applied for with
         respect to certain provisions of this Exhibit, which provisions have
         been omitted from the Exhibit, marked with an asterisk (*), and filed
         separately with the SEC.

10(j)    Sublease Agreement [N636AS] dated as of June 22, 1995, between
         the Company and Antoine Finance Corporation and related Sublease
         Supplement [N636AS] dated June 22, 1995; Sublease Tax Indemnity
         Agreement [N636AS] dated June 22, 1995; and Nondisturbance and
         Recognition Agreement [N636AS] dated June 22, 1995.  (ATTACHED AS
         EXHIBIT 10(j) HERETO) Confidential treatment has been applied for with
         respect to certain provisions of this Exhibit, which provisions have
         been omitted from the Exhibit, marked with an asterisk (*), and filed
         separately with the SEC.

10(k)    Sublease Agreement [N637AS] dated as of June 22, 1995, between
         the Company and Antoine Finance Corporation and related Sublease
         Supplement [N637AS] dated June 22, 1995; Sublease Tax Indemnity
         Agreement [N637AS] dated June 22, 1995; and Nondisturbance and
         Recognition Agreement [N637AS] dated June 22, 1995.  (ATTACHED AS
         EXHIBIT 10(k) HERETO) Confidential treatment has been applied for with
         respect to certain provisions of this Exhibit, which provisions have
         been omitted from the Exhibit, marked with an asterisk (*), and filed
         separately with the SEC.