The Glasgow International 2014 Festival Of Contemporary Visual Art will take over the historic venue, currently lying empty, in April.
The festival, led by new artistic director Sarah McCrory, said it was "delighted" that the galleries would be "reopened and reinvigorated temporarily".
The B-listed building in Sauchiehall Street will be host to four diverse solo exhibitions by Jordan Wolfson, Avery Singer, Hudinilson Jnr and Charlotte Prodger.
The ground floor of the building, including areas such as kitchens and small offices, will be used for the Wolfson show, .
The main galleries will hold the shows by Prodger, Hudinilson Jnr and Singer.
The Royal Glasgow Institute Of The Fine Arts recently held its annual show at the venue, which is owned by Glasgow City Council, and have campaigned for it to be permanently in use.
The last major show held there before the Institute event was between 2003 and 2006 for the temporarily displaced treasures of the Kelvingrove,
These purpose-built galleries were erected in 1856 and were in use for 150 years.
A spokesman for Glasgow City Council said it was "fitting" the gallery would be used for the festival, "maintaining a long tradition as an exhibition venue in the city".
He added: "Due to recent interest from a number of organisations, Glasgow City Council and City Property is now formalising a clear process for leasing the building on a temporary basis, while long term options are considered."