The Scotland international's future has been the subject of much speculation with claims that a move to France was retry much a done deal.
"When it came down to it, it was a really easy decision to be honest," Jones told glasgowwarriors.org.
"We've got a really good thing going here in Glasgow, and we fully believe that we're on our way to becoming one of the top teams in Europe - we're going strongly in the league and in the knockout stages in the Champions Cup, and we've got a playing group that is constantly improving. That's an environment that I really want to be a part of going forward.
"Off the field, too, I'm incredibly settled in Glasgow. We've got a baby on the way in the next five weeks, which is hugely exciting, and we have great connections to our families across the UK. We've got a superb support network around us and that's such an important thing for us as a family, so it was a no-brainer to be staying.
"I love all of the boys here and I love working with the coaching group. Since Franco came in, he's helped to drive standards and improve us across the board, and he's helped to create a brilliant culture at this club. Nigel [Carolan], Pete [Murchie] and Al [Dickinson] are all excellent coaches too, and I've got no desire to move and leave that behind. I really enjoy being here and coming in to work every day."
"I believe we can win silverware and it's up to us as a squad to make that happen. It's a really exciting time to be a Glasgow Warrior."
Head Coach Franco Smith added: "Good people make good players, and Huw represents that.
"He believes in what we're building here at Scotstoun and knows the value of being part of a strong squad.
"We're looking forward to continuing to work with him over the next couple of seasons."