Damian is a surname. Notable people with the surname include:
Cornel Damian (born 1960), Romanian Roman Catholic bishop
Georgeta Damian (born 1976), Romanian rower and winner of four Olympic Gold medals
Horia Damian (1922-2012), Romanian painter and sculptor
Jean-Michel Damian (1947-2016), French radio journalist
Mircea Damian (1899-1948), Romanian writer
Michael Damian (born 1962), American singer and actor
Pater Damiaan (1840–1889), Belgian missionary, probably named after the first martyr
Saint Peter Damian (died 1072), Italian monk