Celtic Park will make history by becoming the first stadium to host the Pro14 final that isn't a traditional rugby venue.
"We're certain fans across the Pro14 will share in our excitement," the league's chief executive Martin Anayi said.
"Glasgow has so much to offer in terms of hospitality, culture and heritage."
A bid involving Scottish Rugby, Celtic, City of Glasgow Council and Glasgow Warriors has ensured that the final will return to Scotland for a second time in three years.
BT Murrayfield, Scotland's national rugby stadium, was the host in 2016, while this year's final was held at the Aviva Stadium in Dublin, with Leinster beating Scarlets.
"Bringing our final to a world-famous stadium like Celtic Park is a truly historic step in the evolution of the Pro14," Anayi said.