<DOCUMENT>
<TYPE>EX-99.906CERT
<SEQUENCE>5
<FILENAME>a2137633zex-99_906cert.txt
<DESCRIPTION>EX-99.906CERT
<TEXT>
<Page>

                                                              EXHIBIT 99.906CERT

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), each of the
undersigned officer of PIMCO High Income Fund (the "Registrant"), do hereby
certifies, to such officer's knowledge, that

  (1) the Annual Report on the Form N-CSR for the period ended March 31, 2004
      (the "Form N-CSR") fully complies with the requirements of Section 13(a)
      or 15(d) of the Securities Exchange Act of 1934: and
  (2) The information contained in the Form N-CSR fairly presents, in all
      material respects, the financial condition and results of operations of
      the Registrant.

Dated: June 10, 2004

/s/ Brian S. Shlissel
---------------------
Brian S. Shlissel
President & Chief Executive 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 version of this written statement required by
Section 906, has been provided to PIMCO High Income Fund and furnished to the
Securities and Exchange Commission or its staff upon request.

This certification is being furnished solely pursuant to 18 U.S.C. ss 1350 and
is not being filed as part of the Report or as a separate disclosure document.

<Page>

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), each of the
undersigned officer of PIMCO High Income Fund (the "Registrant"), do hereby
certifies, to such officer's knowledge, that

  (3) the Annual Report on the Form N-CSR for the period ended March 31, 2004
      (the "Form N-CSR") fully complies with the requirements of Section 13(a)
      or 15(d) of the Securities Exchange Act of 1934: and
  (4) The information contained in the Form N-CSR fairly presents, in all
      material respects, the financial condition and results of operations of
      the Registrant.

Dated: June 10, 2004

/s/ Lawrence G. Altadonna
-------------------------
Lawrence G. Altadonna
Treasurer, Principal Financial & Accounting Officer

<Page>

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 version of this written statement required by
Section 906, has been provided to PIMCO High Income Fund, and furnished to the
Securities and Exchange Commission or its staff upon request.

This certification is being furnished solely pursuant to 18 U.S.C. ss 1350 and
is not being filed as part of the Report or as a separate disclosure document.

</TEXT>
</DOCUMENT>
