Rule 424(b)(3)
                                             Registration No. 333-42755


PRICING SUPPLEMENT NO. 42           TO PROSPECTUS DATED January 9, 1998
                                     (As supplemented January 12, 1998)


                          IBM CREDIT CORPORATION

                            MEDIUM-TERM NOTES
                           (Floating Rate Note)

                (Due from 9 months to 30 years from date of issue )

Designation:  Floating Rate         Original Issue Date:
 Medium-Term Notes Due              September 15, 1998
 September 15, 1999


Principal Amount:  $50,000,000      Maturity Date:
                                    September 15, 1999

Issue Price (as a percentage of     Regular Record Dates:
 Principal Amount):  100.00%        Fifteenth calendar day, whether or not
                                    a Business Day, immediately preceding
                                    the corresponding Interest Payment
                                    Date.

Interest Rate Base: 3 Month
 Libor 


                                    Interest Determination Dates:

Spread: Minus 5 basis points        Two London Business Days prior    
                                    to each Interest Reset Date.
                                    
       
                                    Interest Reset Dates: 
                                    Each Interest Payment Date (other than
                                    the Maturity Date). 
                                     
                                    


Commission or discount (as a        Interest Reset Period:        
 percentage of Principal            Quarterly, commencing with and including
 Amount): 0%                        each Interest Reset Date, to, but 
                                    excluding, the immediately following
                                    Interest Reset Date (or any such daily   
                                    period after the Maturity Date)

Interest Payment Dates: 
 December 15, 1998, March 15, 1999,
 June 15,1999 and at Maturity.

 
Redemption Provision: N/A          CUSIP: 449 22L 6Y7

 


                                   Form: [X] Book-Entry
                                         [ ] Certified

This Pricing Supplement supplements and, to the extent inconsistent
therewith, amends the description of the Notes referred to above in the
accompanying Prospectus Supplement and Prospectus.


                                 INTEREST

     The Notes will bear interest at a rate reset on the Interest Reset  
Dates specified above.  The interest rate in effect from the Original
Issue Date to the first Interest Reset Date with respect to the Notes will be 
the Initial Interest Rate.  Thereafter, the interest rate per annum on the
Notes for each Interest Reset Period will be determined as Libor minus a
spread of 5 basis points.


     Interest on the Notes will be calculated based on the actual number of
days elapsed over a year of 360 days.  The initial Calculation Agent with
respect to the Notes will be The Chase Manhattan Bank.

     If any Interest Payment Date or any Interest Reset Date would otherwise
be a day that is not a Business Day, such date will be postponed to the next
day that is a Business Day, unless that day is in the next succeeding
calender month, in which case such date will be the next preceding
Business Day. For purposes of the offering made hereby,
"Business Day" as used herein and in the accompanying 
Prospectus Supplement means each day on which commercial banks and foreign
exchange markets settle payments in The City of New York and on which dealings
in deposits in U.S. dollars are transacted in the London interbank market.
Capitalized terms used but not defined herein have the meanings assigned
in the accompanying Prospectus Supplement and Prospectus.
 


  
                           PLAN OF DISTRIBUTION

The Notes will be sold to Lehman Brothers Inc. for resale to one or    
more investors at a fixed public offering price. After the initial public 
offering of the Notes, the public offering price and any concession or 
discount may be changed.

Dated:  September 10, 1998