One man suffered an injury to his face and received first aid at the scene, police said.
Reports suggested the fight broke out in a swimming pool at the attraction.
A resort spokesman said police attended the Woburn Forest site on Sunday afternoon.
Robinson, whose real name is Stephen Yaxley-Lennon, is due to appear at Luton Magistrates’ Court on 2 April.
The 37-year-old has been released on bail, according to Bedfordshire Police.
Additional reporting by Press Association