Wrenn is a surname. Notable people with the name include:
Charles Leslie Wrenn (1895–1969), British scholar
George Wrenn (1865–1948), American tennis player
Heaton Wrenn (1900–78), American rugby union player
Ralph Wrenn (died 1692), English naval officer
Robert Wrenn (1873–1925), American tennis player
Robert Wrenn (golfer) (born 1959), American sportscaster and golf course design consultant