After Rabbi Gliksberg's death a street in Tel-Aviv was named after him and his son, artist Chaim Gliksberg. Rabbi Gliksberg married Cypa Mejta Alpert, daughter of Rabbi Mordechai Dovid Alpert, A.B.D. Svisloch, who was a grandson of Aryeh Leib Epstein (Ba'al ha-Pardes) of Königsberg. They had 7 children, 4 daughters and 3 sons. His son Chaim Gliksberg moved to Eretz Israel in 1925 and became a renowned artist and author. The rest of Rabbi Gliksberg’s children lived in the Soviet Union until the day they died. The oldest daughter Eneta became a teacher and taught at Yevrabmol experimental school in Odessa. Daughter Eugenia became a well-known physician and medical researcher who published an impressive volume of work and received a Doctoral degree based on those publications. She served in the medical corps during World War II becoming a Major of Medical Corps and earning two Orders of the Red Star for bravery. Daughter Judith became a prominent child care specialist and daughter Sulamith was an infectious disease specialist. Rabbi’s son Shmuel died when he was 7 years old from scarlet fever. The youngest son Benjamin, an engineer educated in Strelitz, Germany, was arrested in 1936 and spent 20 years of his life in Joseph Stalin's camps. Later, after Stalin’s death he was still not allowed to live in Odessa with his family.