The first roshei hayeshiva were the founders, HaRav Chaim Yehuda Leib Auerbach, author of Chacham Lev and HaRav Shimon Tzvi Horowitz, author of Shem Mishimon and Kol Mevaser. Over the years, many other great Torah scholars taught in the yeshiva. Rav Chaim Leib's son, Rav Eliezer Auerbach zt'l led the yeshiva for many years and after his petiroh, his brother Rav Refoel Dovid zt'l took over. Members of the family continue leading the yeshiva to this day.
Heading the yeshiva at present are HaRav Fishel Eisenbach, HaRav Yaakov Meir Shechter and HaRav Gamliel Rabinowitz. Since HaRav Shlomo Zalman's petiroh, his son HaRav Shmuel, rosh yeshivas Maalos Hatorah, has served as the yeshiva's president. He asked a nephew of Reb Shlomo Zalman who is a son-in-law of Rav Refoel Dovid Auerbach, Rav Yechezkel Schlaff of London, to shoulder the burden of the yeshiva's material and spiritual upkeep.
Many avreichim spend many hours of the day learning revealed Torah in Shaar HaShomayim and the yeshiva has produced a number of talmidei chachomim of stature, as well as Torah disseminators and rabbonim.