And they were indebted to fly half Dan Parks who slotted all his side's points from four penalties and a drop goal.
The Georgians battled hard but never really threatened to break down the Scottish defence with handling errors and turnovers aplenty on both sides.
Georgia, who based their game on a powerful forward platform, did take a shock lead through a great penalty from Kvirikashvili but Scotland regrouped to take a 9-3 half time lead.
Conditions failed to improve in the second half and a try never looked on the cards. Parks and Kvirikashvili swapped penalties before Parks made it safe just a few minutes from time.