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                                                              Exhibit 99.906CERT

     CERTIFICATION PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002
    (SUBSECTIONS (a) AND (b) OF SECTION 1350, CHAPTER 63 OF TITLE 18, UNITED
                                  STATES CODE)


In connection with the attached report of The New America High Income Fund,
Inc., a Maryland corporation (the "Fund"), on Form N-CSR (the "N-CSR"), each of
the undersigned officers of the Fund does hereby certify that, to the best of
such officer's knowledge:

     1)   The N-CSR fully complies with the requirements of Section 13(a) of
          15(d), as applicable, of the Securities Exchange Act of 1934, as
          amended; and

     2)   The information contained in the N-CSR fairly represents, in all
          material respects, the financial condition and results of operations
          of the Fund.


Dated: March 7, 2005                     /s/ Robert F. Birch
                                      ---------------------------------------
                                              Robert F. Birch
                                              President and Director
                                              Chief Executive Officer


Dated: March 7, 2005                     /s/ Ellen E. Terry
                                      ---------------------------------------
                                              Ellen E. Terry
                                              Vice President and Treasurer
                                              Chief Financial Officer