Item 7.01 Regulation FD Disclosure.

Amended and Restated By-Laws. On October 5, 2020, the Board of Trustees of Nuveen AMT-Free Municipal Value Fund, a registered closed-end management investment company (the "Fund"), amended and restated in its entirety the Amended and Restated By-Laws of the Fund (the "Amended and Restated By-Laws"). The Amended and Restated By-Laws are attached hereto as Exhibit 3.1 and are incorporated herein by reference.

On October 5, 2020, the Fund issued a press release in connection with the adoption of the Amended and Restated By-Laws.

Item 9.01 Financial Statements and Exhibits.






                 (d)    Exhibits

                 3.1      Amended and Restated By-Laws

                 99.1     Press Release, dated October 5, 2020




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