The city council insists it will be given a permanent new home outdoors, but it is not yet revealing where it will be located.
The Big G became a star attraction in its own right during the city's hosting of the Games.
The three dimensional structure is taller than a double decker bus and weighs the equivalent of an African elephant.
Once it is demolished, it will be strengthened and the metal treated to make it fit for permanent display outdoors.
Council leader Gordon Matheson said: "Glasgow looked her absolute best for the hundreds of thousands of visitors and millions of global TV viewers watching the Commonwealth Games.
"Our city came alive during the Games and the Big G was the standout backdrop to the city's celebrations. It was featured by the media in nearly all of their Games reporting. It went viral on social media and it was the must-have selfie for residents, visitors and athletes. Even now, more than a fortnight after the Games, people are still queuing up to have their picture taken with it.
"Although originally intended only for display during the Games, I am sure people will want to enjoy this landmark for years to come.
"That's why I'm delighted to say it will be restored and treated so that it can be permanently displayed and enjoyed by Glaswegians and visitors to our city."
Alongside the Big G, the council is looking into new homes for the 25 statues which made up Clyde's Trail, ensuring they remain on show to the public.
A new poll has revealed the city's Games look proved a hit with visitors and residents. Glasgow City Marketing Bureau commissioned research agency Progressive to conduct a survey of Games visitors into the effectiveness and likability of Glasgow's Games decorations.
When asked to rate them on a scale of one to 10, an overwhelming majority (92%) said seven or greater, while 76% said it made them feel welcome and 33% said it made them feel involved.
The same questions were put to local residents by research agency Scotpulse who found 85% of Glaswegians rated the city's Games dressing seven or better, while 64% said it made them feel proud and 38% said it made them feel excited.