Exhibit 99.906 CERT

CERTIFICATIONS PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

I, John J. Guinee, President of Constitution Capital Access Fund, LLC, certify that to my knowledge:

1. The Form N-CSR of the registrant for the period ended September 30, 2023 (the "Report") fully complies with the requirements of Section 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 registrant.

/s/ John J. Guinee

John J. Guinee

President and Principal Executive Officer

December 8, 2023

I, YooMee Kim, Treasurer of Constitution Capital Access Fund, LLC, certify that to my knowledge:

1. The Form N-CSR of the registrant for the period ended September 30, 2023 (the "Report") fully complies with the requirements of Section 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 registrant.

/s/ YooMee Kim

YooMee Kim

Treasurer and Principal Financial Officer

December 8, 2023

These certifications are being furnished to the Commission solely pursuant to Rule 30a-2(b) under the Investment Company Act of 1940, as amended, and 18 U.S.C. (S) 1350 and are not being filed as part of the Form N-CSR with the Commission.