Aim Counselor Series Trust N-CSRCertified annual shareholder report (management investment company)

CERTIFICATION OF SHAREHOLDER REPORT

In connection with the Certified Shareholder Report of AIM Counselor Series Trust (Invesco Counselor Series Trust) (the “Company”) on Form N-CSR for the period ended August 31, 2021, as filed with the Securities and Exchange Commission (the “Report”), I, Sheri Morris, Principal Executive Officer of the Company, certify, pursuant to 18 U.S.C. section 1350, as adopted pursuant to section 906 of the Sarbanes-Oxley Act of 2002, that:

(1) The Report 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 Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

CERTIFICATION OF SHAREHOLDER REPORT

In connection with the Certified Shareholder Report of AIM Counselor Series Trust (Invesco Counselor Series Trust) (the “Company”) on Form N-CSR for the period ended August 31, 2021, as filed with the Securities and Exchange Commission (the “Report”), I, Adrien Deberghes, Principal Financial Officer of the Company, certify, pursuant to 18 U.S.C. section 1350, as adopted pursuant to section 906 of the Sarbanes-Oxley Act of 2002, that:

(1) The Report 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 Report fairly presents, in all material respects, the financial condition and results of operations of the Company.