Bazayev (Cyrillic: Базаев) is a surname. Notable people with that name include:

Assan Bazayev (born 1981), Kazakhstani xylist Dzhambulad Bazayev (born 1979), Russian Ossetian footballer Georgi Bazayev (born 1978), Russian footballer.

See also Shamil Basayev (1965-2006), Chechen guerrilla leader