Galvin was playing for Lixnaw against Kilmoyley when he was hit by a man wielding a hurley just before the second half began.
Seconds earlier, referee John Sexton had booked Galvin for an off-the-ball incident which had left an opposing player, Tom Murnane, on the ground.
According to witnesses, the man, identified as leading Kilmoyley official Paddy O’Sullivan, then struck Galvin with a hurley.
A steward then removed Mr O’Sullivan from the field of play and it is understood he was subsequently escorted from the ground by a garda but was not arrested.
Kerry GAA chiefs last night issued a one-line statement: “The Competitions Control Committee of the Kerry County Committee is awaiting the referee’s report before deciding what course of action to take following an incident that took place as players and officials made their way onto the field of play for the start of the second half in today’s senior hurling championship final.”