The yeshiva was founded in 1950 by Rabbi Akiva Sofer (known as the Daas Sofer), a great-grandson of Rabbi Moses Sofer (the Chasam Sofer), who established the original Pressburg Yeshiva in the Austro-Hungarian Empire in 1807. Rabbi Simcha Bunim Sofer served as Rosh yeshiva until his death in 2017, and was succeeded by his son, Rabbi Avraham Shmuel Binyamin Sofer-Schreiber, who also serves as Rosh kollel.[2]
The main beis medrash doubles as a synagogue where some neighborhood residents also pray on Shabbat. The complex also includes a general neighborhood synagogue which functions as Givat Shaul's main Ashkenazi synagogue.