From 1978 - 2016 the museum was headed by Bogdan M. Chaykovsky, Honored Worker of Ukraine, member of the Ukrainian National Committee of International Council of Museums (ICOM), chairman of the museums of Lviv, deputy chairman of the Association of Museums and Galleries Western Ukraine.

June 2, 2016 the new director of the Lviv History Museum was appointed Chmelyka Roman Petrovich. His presentation to the labor collective held June 6, 2016.

Roman Chmelyk was director of the Museum of Ethnography and Crafts, acting Vice President Ukrainian National Committee of ICOM, PhD. Born in 1962 in Lviv.