CERTIFICATION UNDER SECTION 906 OF SARBANES-OXLEY ACT OF 2002

     Name of Issuer:  T. Rowe Price New Income Fund


     In connection with the Report on Form N-CSR for the above named issuer, the
     undersigned hereby certifies, to the best of his knowledge, that:

     1.  The Report fully complies with the requirements of Section 13(a) or
         15(d) of the Securities Exchange Act of 1934;

     2.  The information contained in the Report fairly presents, in all
         material respects, the financial condition and results of operations of
         the Issuer.


     Date:  July 14, 2003                            /s/ James S. Riepe
                                                     James S. Riepe
                                                     Principal Executive Officer

     Date:  July 09, 2003                            /s/ Joseph A. Carrier
                                                     Joseph A. Carrier
                                                     Principal Financial Officer


     A signed original of this written statement required by Section 906, or
     other document authenticating, acknowledging, or otherwise adopting the
     signature that appears in typed form within the electronic version of this
     written statement required by Section 906, has been provided to T. Rowe
     Price New Income Fund and will be retained by T. Rowe Price New Income Fund
     and furnished to the Securities and Exchange Commission or its staff upon
     request.