From 1956 to 1965, Levanon alternated his Bar activities with his administrative duties at Kfar Blum; he served three stints as the economic administrator of the kibbutz. In 1965, Levanon was appointed to serve at the Israeli embassy in Washington, DC, as a representative of Bar. There, he worked with American Jewish organizations to lobby public officials over the issue of Soviet Jews. He also met with officials at the U.S. State Department and with members of the U.S. Congress to keep them apprised of recent events.