He said he didn't know what breed of shark attacked him.
Dr Fry said he had been inspired by Mick Fanning, the champion Australian surfer who fought off a shark on live television while taking part in an global surfing competition in South Africa in 2015.
The novice surfer said he had learnt the tactic after watching interviews with Australian world champion surfer Mick Fanning, who punched a shark during a competition in South Africa in July 2015.
"I just punched it in the face. and just surfed my way in (to shore)", Fry told Australian breakfast television on Tuesday.
"When it happened, I was like, "just do what Mick did, just punch it in the nose", he said.
'I turned and I saw this shark come out of the water and breach its head. "Thank you very much". I punched it in the face with my left hand. and managed to scramble back on my board, shout at my friends.
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"I was out surfing and I got this massive thud on my right-hand side; it completely blindsided me", Fry said.
Charlie added: "Jeez, I don't know if I can tell [my] mum - she might kill me!"
Once on shore, the puncture wounds were determined not to be serious, so after lifeguards tended to him, Fry was taken by his friends to the hospital for further treatment of the bite that spanned from the elbow to the top of the shoulder.
"North Avoca and Avoca beaches are now closed following a shark attack", the council said.
The Briton thought the shark was up to six-feet long (1.5-1.8 metres), although a local helicopter rescue service said later that a three-metre great white and a three-metre bronze whaler shark were spotted off Avoca. The video of the attack and Fanning speaking about it has been viewed more than 24 million times on YouTube.