Spectators clapped as the actor was stretchered off the course to receive medical treatment.
Felton's current condition is unknown, as is the cause of the incident.
Felton was competing for Europe in the six-a-side Ryder Cup Celebrity Match, which is now a traditional curtain-raiser for the real thing.
His celebrity teammates included Teemu Selanne, Mandy Rose, Toni Kukoc, Mike Eruzione, Stephanie Szostak, AJ Hawk, Dan Jansen, Alessandro Del Piero, Kelly Slater and Sasha Vujacic.
