 In 2010 he established the Kantor Center for the Study of Contemporary European Jewry at Tel Aviv University.He was recently reelected Chairman of the Policy Council of the World Jewish Congress for the second time

In 2019, Yad Vashem nominated Moshe Kantor as Chancellor of the Council, and before it he served as its Member of Directorate since 2010.Kantor is a Vice President of the Jewish Leadership Council.