"We've had huge support from all over the world. Hamish has touched so many people that we probably didn't realise." Mr Bagley said quite a few of the international Olympians competing at Sochi had been in touch.
"We're getting all sorts of tributes and wonderful support and feelings through social media, and it's quite humbling."
Speaking from his Arrowtown home, Mr Bagley described his son as a quiet achiever, prepared to give anything a go, but who never blew his own trumpet.
"He just got on with his work, and it's quite lovely to see that he's finally getting a bit of coverage for what he achieved in his nearly 18 years," he said.
"I have always been proud of my son. As a sports person he's always had a good, honest attitude to his sport and given it everything, and it's now nice to see that people are coming out and supporting what he did and expressing their pleasure of having known him and competed against him, and with him.
"I guess if you have to go through this as a parent, and you find this out, it gives you pride in a horrible time," Mr Bagley said.
Hamish, who was also a keen skateboarder, died when he was thrown from his car as it left the road on the Lindis Pass on Sunday night. The car rolled down a bank and exploded.