Szepesi is a Hungarian surname. Notable people with the surname include:
Ádám Szepesi, Hungarian high jumper Gusztáv Szepesi, Hungarian football defender György Szepesi-Friedländer, Hungarian radio personality and sports executive István Szepesi Ivett Szepesi Kálmán Szepesi Nikolett Szepesi, Hungarian swimmer Ottmár Szepesi