The 19-year-old full-back has been part of the Glasgow set-up for the past 18 months as a Scottish Rugby Elite Development player, and has been a virtual ever-present in the team so far this campaign.
Stuart, who can also play at stand-off and centre, initially came through the Hawick club and has represented Scotland at under-17, under-18 and under-20 level.
Stuart told www.glasgowwarriors.org: “I’m hugely excited to have signed a full professional contract and to know I’m going to be part of the club for at least the next three and a half years.
“It’s a great place to be, with lots of positive things happening on and off the field in terms of player signings and the move to Scotstoun next season.
“We’re in the fortunate position of having a lot of quality backs at the club, and I’ve taken a massive amount from training and playing with them. I’d also like to acknowledge and thank the coaching staff, especially [Elite Development coach] Iain Monaghan, for the work they’ve done with me.
“I’m learning all the time and I’ll continue to work extremely hard to keep developing as a player.”
Head coach Sean Lineen gave enthusiastic endorsement to the announcement, saying: “Stuart is an outstanding prospect who has already served clear notice of his ability to thrive in both the RaboDirect PRO12 and Heineken Cup.
“He’s got a fantastic attitude and character, and shows a great appetite for improvement. It will be a real pleasure to keep working with him to ensure he fulfils his exciting potential.”
Warriors managing director Nathan Bombrys commented: “Securing Stuart Hogg on this length of contract is tremendous news for the club. It sends out a strong message that we want to keep our best home-grown talent here to develop the team and achieve success.
“Stuart has had a very encouraging start to the season, and we felt it was absolutely necessary to reward him for this form and get him tied down for the foreseeable future. In advance of one of our biggest games of the season against Edinburgh on Sunday, we couldn’t have asked for a better pre-match lift.”