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

• 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