A teenage boy has suffered serious injuries in a shark attack on the NSW Far North Coast on Sunday afternoon.

Emergency services were called to Norris Headland at Cabarita Beach, located between Byron Bay and the Tweed, shortly before 4pm.

The 16-year-old was bitten on his right arm and right leg, after being attacked while swimming, NSW Surf Lifesaving CEO Stephen Pearce told the ABC.

"At this stage I'm unsure of the severity of injuries, but I'm told there were traumatic injuries to the right arm and right leg," he said.

NSW Ambulance said he was being flown to a Gold Coast hospital in a serious but stable condition.