McAlpine beat off competition from BAM PPP after a Laing O’Rourke led group had earlier been dropped from the race.
Construction will start this summer with McAlpine committed to using local subcontractors.
Designs for the new campus have also been unveiled which will cater for 40,000 students and 1200 members of staff.
College Principal Paul Little said: “These plans signify a major boost to the city and Scotland and ultimately will enhance our reputation as a top educational institution in the world.
“Situated in the very heart of the city, these impressive new buildings will inspire our learners and encourage them to unlock their potential right here in Glasgow.”
Douglas Baillie, Chair of the college Board said: “Selecting the preferred bidder is yet another major milestone in our continuing success.”
Julia Kennedy, associate director at Scottish Futures Trust (SFT) who has been supporting the college through the procurement process, said: “Construction is planned to start later this year and will act as an enormous boost to local small and medium enterprises working within the building sector and related supply chains thanks to the preferred bidder’s commitment to supporting local employment and training.”
The next and final stage of the procurement phase will include seeking planning permission from Glasgow City Council and finalising the funding strategy.
Once these tasks are complete, the contract will be awarded and construction will begin on site this summer.