Mura is a surname. Notable people with the surname include:
David Mura (born 1952), Japanese-American author, poet, novelist, playwright, critic and performance artistÉric Mura (born 1963), French retired footballerFrank Mura (1861–?), French-born American painter and water colouristGiuseppe Mura (born 1943), Italian boxerSteve Mura (born 1955), retired Major League Baseball pitcherTakahito Mura (born 1991), Japanese figure skaterTakashi Mura (born 1960), Japanese figure skaterToshio Mura (1925–2009), professor of engineering