The synagogue's official name is "Congregation Lubavitch of Agudas Chasidei Chabad" although it goes by several other names throughout the worldwide Chabad community, including: Beis Moshiach ("Messiah's House") - the numerical value of 770 - and Beis Rabeinu Sheb'bovel ("Our Rebbe's House in Babylon").
Because Lubavitch Chassidim attach great significance to everything connected to the Rebbe שליט"א King Moshiach, Lubavitch Chassidim all over the world have built replicas or near-replicas of the building.