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                                                                    EXHIBIT 23.4
 
                       CONSENT OF INDEPENDENT ACCOUNTANTS
 
     We hereby consent to the incorporation by reference in the Prospectus
constituting part of this Registration Statement on Form S-4 of National Data
Corporation of our report dated March 28, 1996 relating to the financial
statements of MasterCard Automated Point-of-Sale Program (an organizational unit
of MasterCard International Incorporated), which appears in the Current Report
on Form 8-K of National Data Corporation dated April 1, 1996. We also consent to
the reference to us under the heading "Experts" in such Prospectus.
 
PRICE WATERHOUSE LLP
 
New York, New York
   
April 25, 1996