Strauss also skippered the Golden Lions in the Currie Cup, leading them to triumph in the 2011 edition of the prestigious competition where they beat Natal Sharks in the final.
His peers named him Currie Cup Player of the Tournament for a series of outstanding displays, characterised by impressive ball-carrying and a high-octane approach to his duties at the base of the scrum.
Strauss has pledged his services to the Warriors until at least the end of May 2015, subject to medical and visa. "I'm really excited to have signed for Glasgow Warriors, and can't wait to get on that plane and hit the ground running with my new club and team-mates," he said.
"I've had a number of really positive conversations with [head coach] Gregor Townsend, where he's explained how ambitious the club are to move forward on and off the field. There are a lot of top players in the squad, especially in the back row, and I know I will have to fight hard to prove my worth and earn selection.
"I'm massively looking forward to arriving in Glasgow, seeing the facilities at Scotstoun Stadium for myself, and playing my part in helping the club achieve a successful season."
Head coach Townsend has hailed Strauss as a "terrific addition", saying: "Josh is an outstanding player and person who will be a fantastic asset for our team and club. "He's a signing who will excite both the rest of the squad and our supporters, who doubtless will have enjoyed watching him lead from the front with the Lions in Super XV."
Strauss made his Currie Cup debut in 2010, and impressed to the extent that he was handed both the Currie Cup and Super XV captaincy in 2011. He quickly established himself as a cult figure with supporters both through his rambunctious style of play and distinctive full-length beard. The facial fuzz sadly bit the dust after he guided the Golden Lions to Currie Cup triumph last year, when it was "forcibly removed" by teammate Wikus van Heerden.