<PAGE>   1
 
--------------------------------------------------------------------------------
--------------------------------------------------------------------------------
 
                                   FORM 10-Q
 
                       SECURITIES AND EXCHANGE COMMISSION
 
                             WASHINGTON, D.C. 20549
 
(X) QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE
    ACT OF 1934
 
     For The Quarterly Period Ended September 30, 1996.
 
                                       OR
 
( ) TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE
    ACT OF 1934
 
                         Commission File Number 1-8552
 
                              BANC ONE CORPORATION
             (EXACT NAME OF REGISTRANT AS SPECIFIED IN ITS CHARTER)
 
<TABLE>
<S>                                               <C>
                    Ohio                                           31-0738296
 ------------------------------------------        ------------------------------------------
(STATE OR OTHER JURISDICTION OF INCORPORATION         (I.R.S. EMPLOYER IDENTIFICATION NO.)
                      OR
                ORGANIZATION)
</TABLE>
 
                100 East Broad Street, Columbus, Ohio 43271-0251
          (ADDRESS OF PRINCIPAL EXECUTIVE OFFICES)         (ZIP CODE)
 
                                 (614) 248-5944
              (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 
                                           ---      --- 

The number of shares outstanding of the registrant's common stock, no par value,
$5 stated value, was 427,375,484 at October 31, 1996.
 
--------------------------------------------------------------------------------
--------------------------------------------------------------------------------
<PAGE>   2
 
                              BANC ONE CORPORATION
 
                                     PART I
 
                             FINANCIAL INFORMATION
 
ITEM 1. FINANCIAL STATEMENTS.
 
        See the following portions of the BANC ONE CORPORATION consolidated
        financial statements and analysis for the quarter ended September 30,
        1996 (filed as Exhibit 20 to this Form 10-Q), which are expressly
        incorporated herein by reference:
 
          Consolidated Balance Sheet on page 2
          Consolidated Statement of Income on page 3
          Consolidated Condensed Statement of Cash Flows on page 4
          Consolidated Statement of Changes in Stockholders' Equity on page 5
          Notes to the Consolidated Financial Statements on page 6
 
ITEM 2. MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS
        OF OPERATIONS.
 
        See the following portions of the BANC ONE CORPORATION consolidated
        financial statements and analysis for the quarter ended September 30,
        1996 (filed as Exhibit 20 to this Form 10-Q) which are expressly
        incorporated herein by reference:
 
            Management's Discussion and Analysis on pages 11 through 19
 
                                        1
<PAGE>   3
 
                     BANC ONE CORPORATION AND SUBSIDIARIES
 
                                    PART II
 
                               OTHER INFORMATION
 
ITEM 1. LEGAL PROCEEDINGS
       Inapplicable
 
ITEM 2. CHANGE IN SECURITIES
       Inapplicable
 
ITEM 3. DEFAULTS UPON SENIOR SECURITIES
       Inapplicable
 
ITEM 4. SUBMISSION OF MATTERS TO A VOTE OF SECURITY HOLDERS
       Inapplicable
 
ITEM 5. OTHER INFORMATION
       Inapplicable
 
ITEM 6. EXHIBITS AND REPORTS ON FORM 8-K
       a. Exhibits.
        Exhibit 11 Statement Regarding Computation of Earnings per Common Share
        Exhibit 12 Statement Regarding Computation of Ratio of Earnings to Fixed
          Charges
        Exhibit 20 BANC ONE CORPORATION consolidated financial statements and
          analysis for the   quarter ended September 30, 1996
        Exhibit 27 Financial Data Schedules
 
        b. Reports on Form 8-K
         Inapplicable
 
                                        2
<PAGE>   4
 
                                   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.
 
<TABLE>
<CAPTION>
                                              BANC ONE CORPORATION
<S>                               <C>
      November 14, 1996                       /s/ BOBBY L. OOXEY
------------------------------    ---------------------------------------------
             Date                                 Bobby L. Ooxey
                                            Chief Accounting Officer
</TABLE>
 
                                        3
<PAGE>   5
 
                               INDEX TO EXHIBITS
 
<TABLE>
<CAPTION>
EXHIBIT NUMBER
--------------
<C>              <S>
      11         Statement Regarding Computation of Earnings per Common Share
      12         Statement Regarding Computation of Ratio of Earnings to Fixed Charges
      20         BANC ONE CORPORATION consolidated financial statements and analysis for the
                 quarter ended September 30, 1996
      27         Financial Data Schedules
</TABLE>
 
                                        4