<Page>

                                                             Exhibit 99.Cert.906

FORM N-CSR ITEM 11(b) EXHIBIT

                            CERTIFICATION PURSUANT TO
                             18 U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

          The undersigned hereby certify in their capacity as Treasurer and
President, respectively, of Eaton Vance Municipals Trust (the "Trust") (on
behalf of Eaton Vance California Municipals Fund), that:

  (a)   the Semi-Annual Report of the Trust (on behalf of Eaton Vance California
        Municipals Fund) on Form N-CSR for the period ended March 31, 2004 (the
        "Report") fully complies with the requirements of Section 13(a) or 15(d)
        of the Securities Exchange Act of 1934, as amended; and

  (b)   the information contained in the Report fairly presents, in all material
        respects, the financial condition and the results of operations of the
        Trust (on behalf of Eaton Vance California Municipals Fund) for such
        period.

A SIGNED ORIGINAL OF THIS WRITTEN STATEMENT REQUIRED BY SECTION 906 HAS BEEN
PROVIDED TO THE TRUST AND WILL BE RETAINED BY THE TRUST AND FURNISHED TO THE
SECURITIES AND EXCHANGE COMMISSION OR ITS STAFF UPON REQUEST.

Eaton Vance Municipals Trust (On behalf of Eaton Vance California Municipals
Fund)

Date: May 20, 2004
      ------------


/s/ James L. O'Connor
- ---------------------
James L. O'Connor
Treasurer

Date: May 20, 2004


/s/ Thomas J. Fetter
- --------------------
Thomas J. Fetter
President
<Page>

                                                             Exhibit 99.Cert.906

FORM N-CSR ITEM 11(b) EXHIBIT

                            CERTIFICATION PURSUANT TO
                             18 U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

          The undersigned hereby certify in their capacity as Treasurer and
President, respectively, of Eaton Vance Municipals Trust (the "Trust") (on
behalf of Eaton Vance Florida Municipals Fund), that:

  (a)   the Semi-Annual Report of the Trust (on behalf of Eaton Vance Florida
        Municipals Fund) on Form N-CSR for the period ended March 31, 2004 (the
        "Report") fully complies with the requirements of Section 13(a) or 15(d)
        of the Securities Exchange Act of 1934, as amended; and

  (b)   the information contained in the Report fairly presents, in all material
        respects, the financial condition and the results of operations of the
        Trust (on behalf of Eaton Vance Florida Municipals Fund) for such
        period.

A SIGNED ORIGINAL OF THIS WRITTEN STATEMENT REQUIRED BY SECTION 906 HAS BEEN
PROVIDED TO THE TRUST AND WILL BE RETAINED BY THE TRUST AND FURNISHED TO THE
SECURITIES AND EXCHANGE COMMISSION OR ITS STAFF UPON REQUEST.

Eaton Vance Municipals Trust (On behalf of Eaton Vance Florida Municipals Fund)

Date: May 20, 2004
      ------------


/s/ James L. O'Connor
- ---------------------
James L. O'Connor
Treasurer

Date: May 20, 2004
      ------------


/s/ Thomas J. Fetter
- --------------------
Thomas J. Fetter
President
<Page>

                                                             Exhibit 99.Cert.906

FORM N-CSR ITEM 11(b) EXHIBIT

                            CERTIFICATION PURSUANT TO
                             18 U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

          The undersigned hereby certify in their capacity as Treasurer and
President, respectively, of Eaton Vance Municipals Trust (the "Trust") (on
behalf of Eaton Vance Massachusetts Municipals Fund), that:

  (a)   the Semi-Annual Report of the Trust (on behalf of Eaton Vance
        Massachusetts Municipals Fund) on Form N-CSR for the period ended March
        31, 2004 (the "Report") fully complies with the requirements of Section
        13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

  (b)   the information contained in the Report fairly presents, in all material
        respects, the financial condition and the results of operations of the
        Trust (on behalf of Eaton Vance Massachusetts Municipals Fund) for such
        period.

A SIGNED ORIGINAL OF THIS WRITTEN STATEMENT REQUIRED BY SECTION 906 HAS BEEN
PROVIDED TO THE TRUST AND WILL BE RETAINED BY THE TRUST AND FURNISHED TO THE
SECURITIES AND EXCHANGE COMMISSION OR ITS STAFF UPON REQUEST.

Eaton Vance Municipals Trust (On behalf of Eaton Vance Massachusetts Municipals
Fund)

Date: May 20, 2004
      ------------


/s/ James L. O'Connor
- ---------------------
James L. O'Connor
Treasurer

Date: May 20, 2004
      ------------


/s/ Thomas J. Fetter
- --------------------
Thomas J. Fetter
President
<Page>

                                                             Exhibit 99.Cert.906

FORM N-CSR ITEM 11(b) EXHIBIT

                            CERTIFICATION PURSUANT TO
                             18 U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

          The undersigned hereby certify in their capacity as Treasurer and
President, respectively, of Eaton Vance Municipals Trust (the "Trust") (on
behalf of Eaton Vance Mississippi Municipals Fund), that:

  (a)   the Semi-Annual Report of the Trust (on behalf of Eaton Vance
        Mississippi Municipals Fund) on Form N-CSR for the period ended March
        31, 2004 (the "Report") fully complies with the requirements of Section
        13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

  (b)   the information contained in the Report fairly presents, in all material
        respects, the financial condition and the results of operations of the
        Trust (on behalf of Eaton Vance Mississippi Municipals Fund) for such
        period.

A SIGNED ORIGINAL OF THIS WRITTEN STATEMENT REQUIRED BY SECTION 906 HAS BEEN
PROVIDED TO THE TRUST AND WILL BE RETAINED BY THE TRUST AND FURNISHED TO THE
SECURITIES AND EXCHANGE COMMISSION OR ITS STAFF UPON REQUEST.

Eaton Vance Municipals Trust (On behalf of Eaton Vance Mississippi Municipals
Fund)

Date: May 20, 2004
      ------------


/s/ James L. O'Connor
- ---------------------
James L. O'Connor
Treasurer

Date: May 20, 2004


/s/ Thomas J. Fetter
- --------------------
Thomas J. Fetter
President
<Page>

                                                             Exhibit 99.Cert.906

FORM N-CSR ITEM 11(b) EXHIBIT

                            CERTIFICATION PURSUANT TO
                             18 U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

          The undersigned hereby certify in their capacity as Treasurer and
President, respectively, of Eaton Vance Municipals Trust (the "Trust") (on
behalf of Eaton Vance New York Municipals Fund), that:

  (a)   the Semi-Annual Report of the Trust (on behalf of Eaton Vance New York
        Municipals Fund) on Form N-CSR for the period ended March 31, 2004 (the
        "Report") fully complies with the requirements of Section 13(a) or 15(d)
        of the Securities Exchange Act of 1934, as amended; and

  (b)   the information contained in the Report fairly presents, in all material
        respects, the financial condition and the results of operations of the
        Trust (on behalf of Eaton Vance New York Municipals Fund) for such
        period.

A SIGNED ORIGINAL OF THIS WRITTEN STATEMENT REQUIRED BY SECTION 906 HAS BEEN
PROVIDED TO THE TRUST AND WILL BE RETAINED BY THE TRUST AND FURNISHED TO THE
SECURITIES AND EXCHANGE COMMISSION OR ITS STAFF UPON REQUEST.

Eaton Vance Municipals Trust (On behalf of Eaton Vance New York Municipals Fund)

Date: May 20, 2004
      ------------


/s/ James L. O'Connor
- ---------------------
James L. O'Connor
Treasurer

Date: May 20, 2004


/s/ Thomas J. Fetter
- --------------------
Thomas J. Fetter
President
<Page>

                                                             Exhibit 99.Cert.906

FORM N-CSR ITEM 11(b) EXHIBIT

                            CERTIFICATION PURSUANT TO
                             18 U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

          The undersigned hereby certify in their capacity as Treasurer and
President, respectively, of Eaton Vance Municipals Trust (the "Trust") (on
behalf of Eaton Vance Ohio Municipals Fund), that:

  (a)   the Semi-Annual Report of the Trust (on behalf of Eaton Vance Ohio
        Municipals Fund) on Form N-CSR for the period ended March 31, 2004 (the
        "Report") fully complies with the requirements of Section 13(a) or 15(d)
        of the Securities Exchange Act of 1934, as amended; and

  (b)   the information contained in the Report fairly presents, in all material
        respects, the financial condition and the results of operations of the
        Trust (on behalf of Eaton Vance Ohio Municipals Fund) for such period.

A SIGNED ORIGINAL OF THIS WRITTEN STATEMENT REQUIRED BY SECTION 906 HAS BEEN
PROVIDED TO THE TRUST AND WILL BE RETAINED BY THE TRUST AND FURNISHED TO THE
SECURITIES AND EXCHANGE COMMISSION OR ITS STAFF UPON REQUEST.

Eaton Vance Municipals Trust (On behalf of Eaton Vance Ohio Municipals Fund)

Date: May 20, 2004
      ------------


 /s/ James L. O'Connor
- ----------------------------------------------
James L. O'Connor
Treasurer

Date: May 20, 2004
      ------------


 /s/ Thomas J. Fetter
- ----------------------------------------------
Thomas J. Fetter
President
<Page>

                                                             Exhibit 99.Cert.906

FORM N-CSR ITEM 11(b) EXHIBIT

                            CERTIFICATION PURSUANT TO
                             18 U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

          The undersigned hereby certify in their capacity as Treasurer and
President, respectively, of Eaton Vance Municipals Trust (the "Trust") (on
behalf of Eaton Vance Rhode Island Municipals Fund), that:

  (a)   the Semi-Annual Report of the Trust (on behalf of Eaton Vance Rhode
        Island Municipals Fund) on Form N-CSR for the period ended March 31,
        2004 (the "Report") fully complies with the requirements of Section
        13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

  (b)   the information contained in the Report fairly presents, in all material
        respects, the financial condition and the results of operations of the
        Trust (on behalf of Eaton Vance Rhode Island Municipals Fund) for such
        period.

A SIGNED ORIGINAL OF THIS WRITTEN STATEMENT REQUIRED BY SECTION 906 HAS BEEN
PROVIDED TO THE TRUST AND WILL BE RETAINED BY THE TRUST AND FURNISHED TO THE
SECURITIES AND EXCHANGE COMMISSION OR ITS STAFF UPON REQUEST.

Eaton Vance Municipals Trust (On behalf of Eaton Vance Rhode Island Municipals
Fund)

Date: May 20, 2004
      ------------


/s/ James L. O'Connor
- ---------------------
James L. O'Connor
Treasurer

Date: May 20, 2004


/s/ Thomas J. Fetter
- --------------------
Thomas J. Fetter
President
<Page>

                                                             Exhibit 99.Cert.906

FORM N-CSR ITEM 11(b) EXHIBIT

                            CERTIFICATION PURSUANT TO
                             18 U.S.C. SECTION 1350,
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

          The undersigned hereby certify in their capacity as Treasurer and
President, respectively, of Eaton Vance Municipals Trust (the "Trust") (on
behalf of Eaton Vance West Virginia Municipals Fund), that:

  (a)   the Semi-Annual Report of the Trust (on behalf of Eaton Vance West
        Virginia Municipals Fund) on Form N-CSR for the period ended March 31,
        2004 (the "Report") fully complies with the requirements of Section
        13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

  (b)   the information contained in the Report fairly presents, in all material
        respects, the financial condition and the results of operations of the
        Trust (on behalf of Eaton Vance West Virginia Municipals Fund) for such
        period.

A SIGNED ORIGINAL OF THIS WRITTEN STATEMENT REQUIRED BY SECTION 906 HAS BEEN
PROVIDED TO THE TRUST AND WILL BE RETAINED BY THE TRUST AND FURNISHED TO THE
SECURITIES AND EXCHANGE COMMISSION OR ITS STAFF UPON REQUEST.

Eaton Vance Municipals Trust (On behalf of Eaton Vance West Virginia Municipals
Fund)

Date: May 20, 2004
      ------------


  /s/ James L. O'Connor
- ---------------------------------------------
James L. O'Connor
Treasurer

Date: May 20, 2004
      ------------


  /s/ Thomas J. Fetter
- ---------------------------------------------
Thomas J. Fetter
President