Prior is a surname. Notable people with the surname include:
Alex Prior (born 1992), Russian child prodigy composer
Anthony Prior (born 1970), American football player
Arthur Prior (1914–1969), philosopher and logician
David Prior (disambiguation), multiple people
George Thurland Prior, British mineralogist
James Prior, Baron Prior (1927–2016), British politician
John Prior (musician) (born 1960), Australian musician
Maddy Prior (born 1947), English singer
Marina Prior (born 1963), Australian singer and actress
Mark Prior (born 1980), baseball pitcher
Mary Prior (born 1942), British Lord–Lieutenant for Bristol
Matthew Prior (1664–1721), English poet
Matt Prior (born 1982), English cricketer
Spencer Prior (born 1971), English footballer