Kalocsai or Kalocsay (meaning "from Kalocsa") is a surname. Notable people with the surname include:
Kalocsai Henrik Kalocsai (1940–2012), Hungarian jumper
Kalocsay Géza Kalocsay (1913–2008), Hungarian football player and manager Kálmán Kalocsay (1891–1976), Hungarian Esperanto poet, translator and editor who also used the name Peter Peneter