At least 12 have died as a result of the disaster and the government has announced a day of national mourning.
Many residents of the city have lost their homes and the government faces a huge clean-up operation.
Those that escaped the devastation and people from surrounding areas have donated food, water and blankets.
The Prime Minister Irakli Garibashvili thanked the community for showing “unprecedented solidarity.”Authorities say a number of animals that escaped their enclosures as a result of the waters are still roaming the capital.
Tigers, lions, wolves and an hippopotamus were spotted in the city, it remains unclear what species are still at large.
It is stressed that the animals are not responsible for any of the fatalities.
