The quaich, named after Sir William Purves CBE DSO, the Kelso-born former chairman of the Hong Kong and Shanghai Bank, was presented to Moray at a dinner held at the Caledonia Club in London last night.
Moray, who is in the West of Scotland Institute of Sport, said: "I'm very pleased to have been awarded the quaich. Looking at the previous winners, such as Chris Cusiter and Ally Hogg, and what they have gone on to achieve, I hope I can follow in their footsteps and go on to bigger and better things in rugby.
"It's a reward for all the hard work this year and the fact that it has been recognised by a group of rugby supporters outside Scotland is fantastic. They take a real interest in the game and it's great for young players to be encouraged in this way," he added.
Moray starts his third game on the trot in the front row for the Warriors tonight as they take on the Ospreys at Hughenden in their last home match of the season (kick-off 7.30pm). The previous two starts for the National Academy player have come in the recent victories over Connacht and Ulster.
Moray said: "It's been going really well but, as my old man keeps telling me, I have to keep my feet on the ground and my head down. We've got a tough game tonight against the Ospreys and we have to keep our form from those wins over Leinster, Connacht and Ulster going, especially when we are at home."
Previous Glasgow Warriors recipients of the award include James Eddie, Stuart Corsar, Mark McMillan, Andrew Wilson and Donnie Macfadyen.