Szendrei is a Hungarian surname. Notable people with the name include:
Ágnes Szendrei, Hungarian-American mathematician Alfred Szendrei (1884–1976), American musician and musicologist, husband of Eugenie Eugenie Szendrei (1884–1955), Austrian-Hungarian-American opera singer, wife of Alfred József Szendrei (born 1954), Hungarian footballer Mária Szendrei, head of Algebra and Number Theory at the János Bolyai Mathematical Institute Norbert Szendrei (born 2000), Hungarian footballer Sándor Szendrei, record-holder in the Budapest Marathon Tibor Szendrei, founder of Hungarian newspaper Budapest Week