The Bibikov family () is an old and influential Russian noble family. First mentioned in the 13th century, they have descended from Boyars of Tver.

Notable members Aleksandr Bibikov (1729–1774), Russian statesman and military officer Aleksandr Aleksandrovich Bibikov (1765–1822), Russian diplomat and military officer Nikolai Bibikov (1842–1923), Russian general; President of Warsaw from 1892 to 1906