Mushfig is both a given name and a surname. Notable people with the name include:
Mushfig Huseynov (born) Azerbaijani singular footballer Mushfig Rzayev (born 1998), Azerbaijani football Mushfig Shahverdiyev (born 1983), Azerbaijani actor Mikayil Mushfig (1908–1938), Azerbaijani poet