Prospectus Certification by Investment Company (Form 497J)

December 22, 2025

VIA EDGAR

Securities and Exchange Commission
100 F Street, NE
Washington, DC 20549

Re: AIM Counselor Series Trust (Invesco Counselor Series Trust)
CIK 0001112996

1933 Act Registration No. 333-36074
1940 Act Registration No. 811-09913

Ladies and Gentlemen:

Pursuant to Rule 497(j) under the Securities Act of 1933, as amended ("1933 Act"), the undersigned certifies on behalf of AIM Counselor Series Trust (Invesco Counselor Series Trust) (the "Fund") that the Prospectuses and the Statement of Additional Information relating to the Class A, Class C, Class R, Class R5, Class R6, Class Y and Investor Class shares of:

Invesco American Franchise Fund, Invesco Core Plus Bond Fund, Invesco Discovery Fund, Invesco Discovery Large Cap Fund, Invesco Equally-Weighted S&P 500 Fund, Invesco Equity and Income Fund, Invesco Floating Rate ESG Fund, Invesco Global Real Estate Income Fund, Invesco Growth and Income Fund, Invesco Income Advantage U.S. Fund, Invesco NASDAQ 100 Index Fund, Invesco S&P 500 Index Fund, Invesco Senior Floating Rate Fund, Invesco Short Duration High Yield Municipal Fund, Invesco Short Term Municipal Fund and Invesco SMA Municipal Bond Fund

that would have been filed under Rule 497(c) under the 1933 Act do not differ from the documents in Post-Effective Amendment No. 218 to the Fund's Registration Statement on Form N-1A, which was filed electronically with the Securities and Exchange Commission on December 18, 2025.

Please send copies of all correspondence with respect to the Amendment to the undersigned, or contact me at (212) 652-4277 or [email protected]. 

Very truly yours,

/s/ Amy Shapiro

Amy Shapiro Senior Counsel