Kylie, who is currently appearing as a judge on The Voice, will play the SSE Hydro on November 12 2014 as part of the European leg of her Kiss Me Once tour.
The 31 date tour will open in the UK.
Kylie's new album is the follow-up to 2010's Aphrodite and her first since signing to Roc Nation Management. It includes a collaboration with Pharrell Williams.
Tickets for the show are priced from £44.80 and go on sale at 9am on Friday, March 21.