<PAGE>

                                                                   Exhibit 99.10


                     MONTHLY CERTIFICATEHOLDERS' STATEMENT

                     FIRST USA BANK, NATIONAL ASSOCIATION

            ------------------------------------------------------
               FIRST USA CREDIT CARD MASTER TRUST, SERIES 1996-6
            ------------------------------------------------------

                 Monthly Period:                    5/1/00 to
                                                    5/31/00
                 Distribution Date:                 6/12/00
                 Transfer Date:                     6/9/00

Under Section 5.02 of the Pooling and Servicing Agreement dated as of September
1, 1992 (the "Pooling and Servicing Agreement") by and between First USA Bank,
National Association, (the "Bank") and The Bank of New York (Delaware), as
trustee (the "Trustee") the Bank, as Servicer, is required to prepare certain
information each month regarding current distributions to Certificateholders and
the performance of the First USA Credit Card Master Trust (the "Trust") during
the previous month. The information which is required to be prepared with
respect to the Distribution Date noted above and with respect to the performance
of the Trust during the month noted above is set forth below. Certain
information is presented on the basis of an original principal amount of $1,000
per Series 1996-6 Certificate (a "Certificate"). Certain other information is
presented based on the aggregate amount for the Trust as a whole. Capitalized
terms used in this Monthly Certificateholders' Statement have their respective
meanings set forth in the Pooling and Servicing Agreement.

A.   Information Regarding the Current Monthly Distribution.
     -------------------------------------------------------

     1.   The total amount of the distribution to
          Certificateholders on the Distribution Date per
          $1,000 original certificate principal amount
                                               Class A                  $6.05115
                                               Class B                  $6.24365
                                               CIA                      $6.79365
                                                                        --------
                                                 Total (Weighted Avg.)  $6.13613

     2.   The amount of the distribution set forth in
          paragraph 1 above in respect of interest on
          the Certificates, per $1,000 original
          certificate principal amount
                                               Class A                  $6.05115
                                               Class B                  $6.24365
                                               CIA                      $6.79365
                                                                        --------
                                                 Total (Weighted Avg.)  $6.13613
<PAGE>

MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1996-6
Page 2



    3.  The amount of the distribution set forth in paragraph 1
        above in respect of principal on the Certificates, per
        $1,000 original certificate principal amount
                                             Class A                  $0.00000
                                             Class B                  $0.00000
                                             CIA                      $0.00000
                                                                      --------
                                             Total (Weighted Avg.)    $0.00000

B.  Information Regarding the Performance of the Trust.
    --------------------------------------------------

    1.  Allocation of Principal Receivables.
        ------------------------------------

        The aggregate amount of Allocations of Principal
        Receivables during the Monthly Period
        which were allocated in respect of the Certificates
                                             Class A             $121,872,858.82
                                             Class B              $11,023,930.98
                                             CIA                  $13,970,419.39
                                                                 ---------------
                                             Total               $146,867,209.19

    2.  Allocation of Finance Charge Receivables
        ----------------------------------------

        (a1) The aggregate amount of Allocations of Finance
             Charge Receivables processed during the Monthly
             Period which were allocated in respect of the
             Certificates

                                             Class A              $12,826,711.23
                                             Class B               $1,160,231.89
                                             CIA                   $1,470,340.00
                                                                  --------------
                                             Total                $15,457,283.12

        (b1) Principal Funding Investment Proceeds (to Class A)            $0.00
        (b2) Withdrawals from Reserve Account (to Class A)                 $0.00
                                                                  --------------
             Class A Available Funds                              $12,826,711.23

        (c1) Principal Funding Investment Proceeds (to Class B)            $0.00
        (c2) Withdrawals from Reserve Account (to Class B)                 $0.00
             Class B Available Funds                               $1,160,231.89

        (d1) Principal Funding Investment Proceeds (to CIA)                $0.00
        (d2) Withdrawals from Reserve Account (to CIA)                     $0.00
             CIA Available Funds                                   $1,470,340.00
<PAGE>

MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1996-6
Page 3


<TABLE>
<CAPTION>
     3.   Principal Receivable / Investor Percentages
          -------------------------------------------
<S>                                                      <C>                       <C>
          (a)  The aggregate amount of Principal Receivables in
               the Trust as of the last day of the Monthly Period                  $36,124,641,027.99

          (b)  Invested Amount as of the last day of the preceding
               month (Adjusted Class A Invested Amount
               during Accumulation Period)
                                                         Class A                     $862,650,000.00
                                                         Class B                      $78,000,000.00
                                                         CIA                          $98,750,000.00
                                                                                   -----------------
                                                         Total                     $1,039,400,000.00

          (c)  The Floating Allocation Percentage: The Invested
               Amount set forth in paragraph 3(b) above as a
               percentage of the aggregate amount of Principal
               Receivables as of the Record Date set forth in
               paragraph 3(a) above
                                                         Class A                               2.388%
                                                         Class B                               0.216%
                                                         CIA                                   0.273%
                                                                                               -----
                                                         Total                                 2.877%

          (d)  During the Amortization Period: The Invested Amount
               as of ______ (the last day of the Revolving Period)
                                                         Class A                               $0.00
                                                         Class B                               $0.00
                                                         CIA                                   $0.00
                                                                                               -----
                                                         Total                                 $0.00

          (e)  The Fixed/Floating Allocation Percentage: The Invested
               Amount set forth in paragraph 3(d) above as a
               percentage of the aggregate amount of Principal
               Receivables set forth in paragraph 3(a) above
                                                         Class A                               0.000%
                                                         Class B                               0.000%
                                                         CIA                                   0.000%
                                                                                               -----
                                                         Total                                 0.000%
</TABLE>
<PAGE>

MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1996-6
Page 4


     4.  Delinquent Balances.
         --------------------

         The aggregate amount of outstanding balances in the
         Accounts which were delinquent as of the end of the day
         on the last day of the Monthly Period

         (a)   35 - 64 days                                      $428,403,170.53
         (b)   65 - 94 days                                      $277,772,886.82
         (c)   95 - 124 days                                     $231,052,772.40
         (d)   125 - 154 days                                    $196,167,513.76
         (e)   155 - 184 days                                    $164,129,162.83
         (f)   185 or more days                                            $0.00
                                                                           -----
                                            Total              $1,297,525,506.34


     5.  Monthly Investor Default Amount.
         --------------------------------

         (a)   The aggregate amount of all defaulted Principal
               Receivables written off as uncollectible during the
               Monthly Period allocable to the Invested Amount
               (the aggregate "Investor Default Amount")

                                            Class A                $5,788,036.94
                                            Class B                  $523,553.15
                                            CIA                      $663,489.02
                                                                   -------------
                                            Total                  $6,975,079.11


     6.  Investor Charge-Offs & Reimbursements of Charge-Offs.
         -----------------------------------------------------

         (a)   The aggregate amount of Class A Investor Charge-
               Offs and the reductions in the Class B Invested
               Amount and the CIA
                                            Class A                        $0.00
                                            Class B                        $0.00
                                            CIA                            $0.00
                                                                           -----
                                            Total                          $0.00

         (b)   The amounts set forth in paragraph 6(a) above, per
               $1,000 original certificate principal amount (which
               will have the effect of reducing, pro rata, the
               amount of each Certificateholder's investment)

                                            Class A                        $0.00
                                            Class B                        $0.00
                                            CIA                            $0.00
                                                                           -----
                                            Total                          $0.00
<PAGE>

MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1996-6
Page 5


         (c)   The aggregate amount of Class A Investor Charge-
               Offs reimbursed and the reimbursement of
               reductions in the Class B Invested Amount and the
               CIA

                                            Class A                        $0.00
                                            Class B                        $0.00
                                            CIA                            $0.00
                                                                           -----
                                            Total                          $0.00

         (d)   The amounts set forth in paragraph 6(c) above, per
               $1,000 interest (which will have the effect of
               increasing, pro rata, the amount of each
               Certificateholder's investment)

                                            Class A                        $0.00
                                            Class B                        $0.00
                                            CIA                            $0.00
                                                                           -----
                                            Total                          $0.00


     7.  Investor Servicing Fee
         ----------------------
         (a)   The amount of the Investor Monthly Servicing Fee
               payable by the Trust to the Servicer for the
               Monthly Period

                                            Class A                $1,078,312.50
                                            Class B                   $97,500.00
                                            CIA                      $123,437.50
                                                                   -------------
                                            Total                  $1,299,250.00


     8.  Reallocated Principal Collections
         ---------------------------------
               The amount of Reallocated CIA
               and Class B Principal Collections applied in respect
               of Interest Shortfalls, Investor Default Amounts or Investor
               Charge-Offs for the prior month.

                                            Class B                        $0.00
                                            CIA                            $0.00
                                                                           -----
                                            Total                          $0.00

     9.  CIA Invested Amount
         (a)   The amount of the CIA Invested Amount as of the
               close of business on the related Distribution
               Date after giving effect to withdrawals, deposits
               and payments tobe made in respect of the
               preceding month                                    $98,750,000.00
<PAGE>

MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1996-6
Page 6

         (b)  The Required CIA Invested Amount as of the
              close of business on the related Distribution
              Date after giving effect to withdrawals,
              deposits and payments to be made in respect of
              the preceding month                                 $98,750,000.00

     10. The Pool Factor
         ---------------

              The Pool Factor (which represents the ratio of the amount
              of the Investor Interest on the last day of the Monthly
              Period, inclusive of any principal payments to be made on
              the related Distribution Date, to the amount of the
              Investor Interest as of the Closing Date). The amount of a
              Certificateholder's pro rata share of the Investor
              Participation Amount can be determined by multiplying the
              original denomination of the holder's Certificate by the
              Pool Factor

                                            Class A                  1.00000000
                                            Class B                  1.00000000
                                            Total                    1.00000000


     11. The Portfolio Yield
         -------------------

               The Portfolio Yield for the related Monthly Period          9.79%

     12. The Base Rate
         -------------

               The Base Rate for the related Monthly Period                8.69%





C    Information Regarding the Principal Funding Acccount
     ----------------------------------------------------
         1.   Accumulation Period

         (a)  Accumulation Period commencement date                  10/01/2003

         (b)  Accumulation Period Length (months)                             1

         (c)  Accumulation Period Factor                                  13.14

         (d)  Required Accumulation Factor Number                             8

         (e)  Controlled Accumulation Amount                  $1,039,400,000.00

         (f)  Minimum Payment Rate (last 12 months)                       14.06%
<PAGE>

MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1996-6
Page 7

     2.  Principal Funding Account
         -------------------------

         Beginning Balance                                                 $0.00
            Plus:  Principal Collections for related Monthly Period from
                   Principal Account                                       $0.00
            Plus:  Interest on Principal Funding Account Balance for
                   related Monthly Period                                  $0.00

            Less:  Withdrawals to Finance Charge Account                   $0.00
            Less:  Withdrawals to Distribution Account                     $0.00
                                                                           -----
         Ending Balance                                                    $0.00

     3.  Accumulation Shortfall
         ----------------------

                The Controlled Deposit Amount for the previous
                Monthly Period                                             $0.00

         Less:  The amount deposited into the Principal Funding
                Account for the Previous Monthly Period                    $0.00

                Accumulation Shortfall                                     $0.00
                                                                           -----
                Aggregate Accumulation Shortfalls                          $0.00

     4.  Principal Funding Investment Shortfall
         --------------------------------------

                Covered Amount                                             $0.00

         Less:  Principal Funding Investment Proceeds                      $0.00
                                                                           -----
                Principal Funding Investment Shortfall                     $0.00
                                                                           -----


D.   Information Regarding the Reserve Account
     -----------------------------------------

     1.  Required Reserve Account Analysis
         ---------------------------------

         (a)  Required Reserve Account Amount percentage                0.00000%

         (b)  Required Reserve Account Amount ($)                         $0.00
              (0.5% of Invested Amount or other amount
              designated by Transferor)

         (c)  Required Reserve Account Balance after effect of
              any transfers on the Related Transfer Date                  $0.00

         (d)  Reserve Draw Amount transferred to the Finance
              Charge Account on the Related Transfer Date                 $0.00
<PAGE>

MONTHLY CERTIFICATEHOLDERS' STATEMENT                              Series 1996-6
Page 8



     2.  Reserve Account Investment Proceeds
         -----------------------------------
         Reserve Account Investment Proceeds transferred to the
         Finance Charge Account on the Related Transfer Date              $0.00


     3.  Withdrawals from the Reserve Account
         ------------------------------------
         Total Withdrawals from the Reserve Account transferred
         to the Finance Charge Account on the related Transfer            $0.00
         Date (1 (d) plus 2 above)


     4.  The Portfolio Adjusted Yield
         ----------------------------
         The Portfolio Adjusted Yield for the related Monthly Period       3.36%
<PAGE>

MONTHLY CERTIFICATEHOLDER'S STATEMENT
Signature Page





                                  First USA Bank, National Association
                                  as Servicer


                                  By: /s/ Tracie Klein
                                      ----------------
                                       Tracie Klein
                                       First Vice President