It will be the first time that Rangers’ 51,000-seater stadium has hosted a Scotland fixture in 15 years.
Temuri Ketsbaia's Georgia side will be in action at Ibrox as Hampden is out of commission after being converted into an athletics venue for next month's Commonwealth Games in Glasgow.
It will be the 18th time the ground has hosted a full Scotland international, and the first since Craig Brown's team beat Bosnia-Herzegovina 1-0 in October 1999.
The SFA will also announce the venue for November's qualifier against Republic of Ireland shortly, with Celtic Park expected to be selected.
Gordon Strachan’s side will kick off their bid to reach the finals in France with a trip to Germany's Westfalenstadion in Dortmund on September 7.