Crossan is a surname. Notable people with the surname include:
Dave Crossan (born 1940), American football offensive lineman
Errol Crossan (born 1930), Canadian association football player
Gary Crossan (21st century), Irish long-distance runner
Jim Crossan (21st century), Northern Irish association football player and manager
Johnny Crossan (born 1938), Northern Irish, author, radio sports analyst, entrepreneur and football player
John Dominic Crossan (born 1934), Irish-American religious scholar
Kate Crossan (21st century), Irish singer and composer
Paddy Crossan (1894–1933), Scottish association football player