 Meshorer was a member of the Archaeological Council of the Israel Antiquities Authority and supervised the establishment of two museums devoted to Biblical Archaeology, the museum of the Cleveland Jewish Community Center in 1976, and The Hecht Museum at the University of Haifa in 1984.He was also a member of the Directorate of the Israel Society for Medals and Coins, serving on the committees that chose the design of the modern Israeli coins.He was instrumental in the decision to base the design of many of the modern coins on ancient Jewish coinage, in this way linking past and present in the State of Israel.