Stoev is a Bulgarian surname. Notable people with the surname include:
Andrey Stoev (born 1986), Bulgarian footballer
Boris Stoev (born 1926), Bulgarian cross country skier
Emil Stoev (born 1986), Bulgarian footballer
Georgi Stoev (1973–2008), Bulgarian writer
Martin Stoev (born 1971), Bulgarian volleyball player and coach
Mladen Stoev (born 1984), Bulgarian footballer
Stoycho Stoev (born 1962), Bulgarian footballer
Todor Stoev (born 1988), Bulgarian footballer
Valcho Stoev (born 1952), Bulgarian shot putter