Kőszegi is a Hungarian surname. Notable people with the surname include:
Diána Kőszegi (born 1983), Hungarian Go player György Kőszegi (1950–2001), Hungarian weightlifter Rodica Dunca or Rodica Dunca Kőszegi (born 1965), Romanian artistic gymnast Zoltán Kőszegi (born 1964), Hungarian politician Kőszegi family, a medieval Hungarian noble house from the kindred of Héder