National Council on African American History and Culture Act of 2023 This bill establishes within the National Endowment for the Humanities (NEH) a National Council on African American History and Culture. The council shall prepare an annual report to be submitted to NEH on the work of NEH to preserve and celebrate African-American history and culture; gather timely and authoritative information concerning historical developments and cultural trends in African-American history and culture and take other specified steps; evaluate the various programs and activities of NEH to determine the extent to which such programs and activities are contributing to the successful preservation and celebration of African-American history and culture and make recommendations to the President; develop and recommend national policies to foster and promote the understanding and preservation of African-American culture and the celebration of African Americans as contributors to the country's success; and make and furnish such studies, reports thereon, and recommendations with respect to matters of cultural preservation and African-American history. The bill terminates the council 10 years after its enactment.