Goldwicht's sons include Rabbi Elyada Goldwicht, founder of the Semichat Chaver Program, Rabbi Eitiel Goldwicht, a rabbi at Aish HaTorah and assistant rabbi of Beit Knesset Hanassi in Rehavia, and Rabbi Aviad Goldwicht, who has a regular shiur in Beit Kenesset Chorev in Rechavia and is on his third cycle of Daf Yomi beIyun in English.