Burrage is an English surname. Notable people with the surname include:
Alfred McLelland Burrage (1889–1956), British writer
Michael Burrage (born 1950), American judge
Luke Burrage (born 1980), British entertainer and author
Nathan Burrage (born 1971), Australian writer
Roland Burrage Dixon (1875–1934), American anthropologist
Ronnie Burrage (born 1959), American jazz drummer
Sean Burrage (born 1968), American politician
Steve Burrage (born 1952), American politician