EVGBC Eaton Vance NextShares Trust Eaton Vance Global Income Builder

EATON VANCE NEXTSHARES TRUST

Two International Place

Boston, MA 02110

Telephone: (617) 482-8260

CERTIFICATION

Pursuant to Rule 497(j) under the Securities Act of 1933, as amended, and Regulation S-T, Eaton Vance NextShares Trust (the “Registrant”) on behalf of Eaton Vance Stock NextShares (the “Fund”) (1933 Act File No. 333-197733) certifies (a) that the forms of prospectus and statement of additional information dated May 1, 2022 used with respect to the Fund, do not differ from those contained in Post-Effective Amendment No. 20 (“Amendment No. 20”) to the Registrant’s Registration Statement on Form N-1A, and (b) that Amendment No. 20 was filed electronically with the Commission (Accession No. 0000940394-22-000790) on April 28, 2022.

Date: May 2, 2022

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