The building was struck on Sunday morning, while the Kollel was in session inside, the Yeshiva World news website reported.
No one was injured from the shots. A car parked outside of the building had a window shot out, however.
Los Angeles Police Department officers responded to a call about the shots. Police officers swept a nearby building, where they took a man with a BB gun into custody, according to Yeshiva World News.
It is not clear if the Kollel was intentionally targeted.