EXHIBIT 20


                             SERVICER'S CERTIFICATE



                        Collection Period: December, 2004

                       Distribution Date: January 18, 2005

                      Hyundai Auto Receivables Trust 2004-A


         The undersigned certifies that he is the Vice President, Finance, of
Hyundai Motor Finance Company, a California corporation ("HMFC") and that as
such he is duly authorized to execute and deliver this certificate on behalf of
HMFC pursuant to Section 4.09 of the Sales and Servicing Agreement dated
September 1, 2004, among HMFC, as Seller and Servicer, Citibank N.A., as
Indenture Trustee, Hyundai ABS Funding Corporation, as the Depositor and, the
Hyundai Auto Receivables Trust 2004-A, as Issuer (the "Sales and Servicing
Agreement") (all capitalized terms used herein without definition have the
respective meanings specified in the Sales and Servicing Agreement) and further
certifies that:

         1.  The Servicer's report for the period from December 1, 2004, to
             December 31, 2004, attached to this certificate is complete and
             accurate and contains all information required by Section 4.09 of
             the Sales and Servicing Agreement; and

         2.  As of December 31, 2004, no Event of Servicing Termination or event
             that with notice or lapse of time or both would become an Event of
             Servicing Termination has occurred.

         IN WITNESS WHEREOF, I have affixed hereunto my signature this 10th day
         of January 2005.

                                     HYUNDAI MOTOR FINANCE COMPANY, as Servicer
                                     a California corporation



                                     By: /s/ David A. Hoeller
                                         ---------------------------
                                         David A. Hoeller
                                         Vice President, Finance








Hyundai Auto Receivables Trust 2004-A
Monthly Servicing Report
- --------------------------------------------------------------


- --------------------------------------------------------------
Collection Period                               December, 2004
Distribution Date                                     01/18/05
Transaction Month                                            4
30/360 Days                                                 30
Actual/360 Days                                             34
- --------------------------------------------------------------

I. ORIGINAL DEAL PARAMETERS
   ------------------------

Cut off Date:                         July 31, 2004
Closing Date:                     September 1, 2004




                                                 Dollars             Units                WAC         WAM
                                                 -------             -----                ---         ---
                                                                                         
Original Pool Balance:                       $807,850,711.24         48,534              7.060%      58.76




                                              Dollar Amount         % of Pool         Coupon Rate               Final Payment Date
                                              -------------         --------          -----------               ------------------
                                                                                                    
   Class A-1 Notes                           $155,000,000.00         19.167%            1.78125%                 September 15, 2005
   Class A-2 Notes                           $215,000,000.00         26.594%            2.36000%                 September 15, 2007
   Class A-3 Notes                           $188,000,000.00         23.252%            2.97000%                       May 15, 2009
   Class A-4 Notes                           $ 92,100,000.00         11.381%            3.54000%                    August 15, 2011
   Class B Notes                             $ 36,500,000.00          4.498%            3.46000%                    August 15, 2011
   Class C Notes                             $ 26,900,000.00          3.310%            3.36000%                    August 15, 2011
   Class D Notes                             $ 32,800,000.00          4.040%            4.10000%                    August 15, 2011
                                            --------------------------------
Total Securities                             $746,300,000.00         92.241%

   Overcollateralization                     $ 23,043,718.45          2.995%
   YSOA                                      $ 38,506,992.79          4.767%
                                            --------------------------------
Total Original Pool Balance                  $807,850,711.24         100.00%

===================================================================================================================================



II. POOL BALANCE AND PORTFOLIO INFORMATION
    --------------------------------------




                                      ---------------------------------------------------------------------------------------------
                                                   Beginning of Period                   Ending of Period               Change
                                     ----------------------------------------------------------------------------------------------
                                                 Balance          Pool Factor        Balance          Pool Factor
                                                 -------          -----------        -------          -----------
                                                                                                      
   Class A-1 Notes                           $ 71,289,466.32       0.4599320     $ 49,147,046.72       0.3170777     $22,142,419.60
   Class A-2 Notes                           $215,000,000.00       1.0000000     $215,000,000.00       1.0000000     $          -
   Class A-3 Notes                           $188,000,000.00       1.0000000     $188,000,000.00       1.0000000     $          -
   Class A-4 Notes                           $ 92,100,000.00       1.0000000     $ 92,100,000.00       1.0000000     $          -
   Class B Notes                             $ 36,500,000.00       1.0000000     $ 36,500,000.00       1.0000000     $          -
   Class C Notes                             $ 26,900,000.00       1.0000000     $ 26,900,000.00       1.0000000     $          -
   Class D Notes                             $ 32,800,000.00       1.0000000     $ 32,800,000.00       1.0000000     $          -
                                     ----------------------------------------------------------------------------------------------
Total Securities                             $662,589,466.32       0.8878326     $640,447,046.72       0.8581630     $22,142,419.60

Weighted Avg. Coupon (WAC)                             7.03%                               7.00%
Weighted Avg. Remaining
  Maturity (WARM)                                      54.98                               54.02
Pool Receivables Balance                     $732,230,539.59                     $710,542,345.34
Remaining Number of Receivables                       46,659                              45,980

Adjusted Pool Balance                        $697,617,415.45                     $677,184,419.66

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


III. COLLECTIONS
     -----------



                                                                                                                  
Principal:
     Principal Collections                                                                                           $19,987,559.39
     Repurchased Contract Proceeds Related to Principal                                                              $          -
     Liquidation Proceeds                                                                                            $          -
     Recoveries from Prior Month Charge-Offs                                                                         $    75,143.04
                                                                                                                     --------------
Total Principal Collections                                                                                          $20,062,702.43

Interest:
     Interest Collections                                                                                            $ 4,185,710.57
     Late Fees & Other Charges                                                                                       $    67,111.24
     Interest on Repurchase Principal                                                                                $          -
                                                                                                                    ---------------
 Total Interest Collections                                                                                          $ 4,252,821.81

Collection Account Interest                                                                                          $    33,336.03
Reserve Account Interest                                                                                             $     9,473.83

Total Collections                                                                                                    $24,324,998.07




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Hyundai Auto Receivables Trust 2004-A
Monthly Servicing Report
- --------------------------------------------------------------



- --------------------------------------------------------------
Collection Period                               December, 2004
Distribution Date                                     01/18/05
Transaction Month                                            4
30/360 Days                                                 30
Actual/360 Days                                             34
- --------------------------------------------------------------

IV. DISTRIBUTIONS
    -------------



                                                                                                            
     Total Collections                                                                                         $ 24,324,998.07
     Reserve Account Release                                                                                   $           -
     Reserve Account Draw                                                                                      $           -
                                                                                                              -----------------
Total Available for Distribution                                                                               $ 24,324,998.07




                                                               Amount Due               Amount Paid
                                                               ----------               -----------
                                                                                                      
1. Servicing Fee @1.00%:
     Servicing Fee Due                                      $    610,192.12           $    610,192.12          $    610,192.12
     Collection Account Interest                                                                               $     33,336.03
     Late Fees & Other Charges                                                                                 $     67,111.24
                                                                                                              -----------------
Total due to Servicer                                                                                          $    710,639.39

2. Class A Noteholders Interest:
     Class A-1 Notes                                        $    119,929.68           $    119,929.68
     Class A-2 Notes                                        $    422,833.33           $    422,833.33
     Class A-3 Notes                                        $    465,300.00           $    465,300.00
     Class A-4 Notes                                        $    271,695.00           $    271,695.00
                                                            ---------------           ---------------

          Total Class A interest:                           $  1,279,758.01           $  1,279,758.01          $  1,279,758.01

3.  First Priority Principal Distribution:                  $           -             $           -            $           -

4.   Class B Noteholders Interest:                          $    105,241.67           $    105,241.67          $    105,241.67

5.  Second Priority Principal Distribution:                 $           -             $           -            $           -

6.   Class C Noteholders Interest:                          $     75,320.00           $     75,320.00          $     75,320.00

7.  Third Priority Principal Distribution:                  $           -             $           -            $           -

8.   Class D Noteholders Interest:                          $    112,066.67           $    112,066.67          $    112,066.67

          Available Funds Remaining:                                                                           $ 22,142,419.60

9.   Regular Principal Distribution Amount:                                                                    $ 22,142,419.60




                                                         Distributable Amount          Paid Amount
                                                         --------------------          -----------
                                                                                
     Class A-1 Notes                                                                  $ 22,142,419.60
     Class A-2 Notes                                                                  $           -
     Class A-3 Notes                                                                  $           -
     Class A-4 Notes                                                                  $           -
                                                                                    -----------------
          Class A Notes Total:                              $147,229,641.67           $ 22,142,419.60
          Class B Notes Total:                              $ 53,897,547.90           $           -
          Class C Notes Total:                              $ 56,546,668.20           $           -
          Class D Notes Total:                              $ 18,439,146.94           $           -
                                                                                    ------------------
               Total Noteholders Principal                                            $ 22,142,419.60

10.  Available Amounts Remaining to reserve account                                                             $          -
11.  Trust Fees and Expenses                                                                                    $          -
12.  Remaining Available Collections Released to Cetificateholder                                               $          -
================================================================================================================================


V. YIELD SUPPLEMENT OVERCOLLATERALIZATION AMOUNT (YSOA)
   ----------------------------------------------------


                                                                                                                 
Beginning Period Required Amount                                                                                    $ 34,613,124.14
Beginning Period Amount                                                                                             $ 34,613,124.14
Current Period Amortization                                                                                         $  1,255,198.46
Ending Period Required Amount                                                                                       $ 33,357,925.68
Ending Period Amount                                                                                                $ 33,357,925.68
Next Distribution Date Required Amount                                                                              $ 32,124,310.27







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Hyundai Auto Receivables Trust 2004-A
Monthly Servicing Report
- --------------------------------------------------------------



- --------------------------------------------------------------
Collection Period                               December, 2004
Distribution Date                                     01/18/05
Transaction Month                                            4
30/360 Days                                                 30
Actual/360 Days                                             34
- --------------------------------------------------------------



VI. RESERVE ACCOUNT
    ---------------



                                                                                                                 
Beginning Period Required Amount                                                                                    $ 5,770,077.89
Beginning Period Amount                                                                                             $ 5,770,077.89
Current Period Release to Collection Account                                                                        $          -
Current Period Deposit                                                                                              $          -
Current Period Release to Depositor                                                                                 $          -
Ending Period Required Amount (0.75% of APB of cut-off date)                                                        $ 5,770,077.89
Ending Period Amount                                                                                                $ 5,770,077.89
===================================================================================================================================



VII. OVERCOLLATERALIZATION
     ---------------------



                                                                                Beginning              Ending          Target
                                                                                ---------              ------          ------
                                                                                                         
Overcollateralization Amount                                                 $ 35,027,949.13     $ 36,737,372.94  $ 55,176,519.88
Overcollateralization as a % of Original Pool                                      4.34%                4.55%          6.83%
Overcollateralization as a % of Current Pool                                       4.93%                5.17%          7.77%

===================================================================================================================================


VIII. DELINQUENCY AND NET LOSS ACTIVITY
      ---------------------------------



                                                                Units Percent     Units       Dollars Percent      Dollar Amount
                                                                -------------     -----       ---------------      -------------
                                                                                                      
     Current                                                        96.96%        44,584           97.17%         $ 690,405,403.47
     30 - 59 Days                                                    2.33%         1,073            2.23%         $  15,868,937.36
     60 - 89 Days                                                    0.49%           226            0.45%         $   3,186,962.57
     90 + Days                                                       0.21%            97            0.15%         $   1,081,041.94
                                                                -------------------------------------------------------------------
                                                                                  45,980                          $ 710,542,345.34
Total
Delinquent Receivables 60 + days past due                            0.70%           323            0.60%         $   4,268,004.51
Delinquency Ratio 60+ for 1st Preceding Collection Period            0.67%           311            0.55%         $   4,047,407.70
Delinquency Ratio 60+ for 2nd Preceding Collection Period            0.63%           297            0.56%         $   4,227,043.31
                                                                     -----                          -----
Three-Month Average Delinquency Ratio                                0.67%                          0.57%

Repossession in Current Period                                                                                                 139
Repossession Inventory                                                                                                         167

Charge-Offs
     Gross Principal of Charge-Off for Current Period                                                             $   1,700,634.86
     Recoveries for Current Period                                                                                $            -
     Recoveries on Previous Charge-off Contracts                                                                  $     (75,143.04)
                                                                                                                  ----------------
     Net Charge-offs for Current Period                                                                           $   1,625,491.82

     Average Pool Balance for Current Period                                                                      $ 721,386,442.47

Net Loss Ratio                                                                                                               2.70%
Net Loss Ratio for 1st Preceding Collection Period                                                                           1.91%
Net Loss Ratio for 2nd Preceding Collection Period                                                                           0.65%
                                                                                                                  ----------------
Three-Month Average Net Loss Ratio for Current Period                                                                        1.75%

Cumulative Net Losses for All Periods                                                                             $   3,454,714.71
Cumulative Net Losses as a % of Initial Pool Balance                                                                         0.43%



The undersigned hereby represents and warrants that the foregoing is a true and
accurate accounting with respect to the outstandings as of December 31, 2004, in
accordance with the Sale and Servicing Agreement dated as of September 1, 2004,
and that all the representations and warranties set forth in Section 3.01 and
made by HMFC, as Seller, are hereby restated and reaffirmed.



                                                                                    
                                                                                       HYUNDAI MOTOR FINANCE COMPANY, AS SERVICER



                                                                                       By:    /s/ David A. Hoeller
                                                                                              ------------------------------------
                                                                                              Name:  David A. Hoeller
                                                                                              Title: Vice President, Finance
                                                                                              Date:  January 10, 2005



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