Postpublished at 14:05
What a start to day two - and the best news is we've still got another three Rugby World Cup matches to go!
You can join us for Ireland v Canada right now by clicking here.
Pool C result: Tonga 10-17 Georgia
Georgia tries from Gorgodze and Tkhilaishvili
Vainikolo late reply for Tonga in Gloucester
Pool D: Ireland v Canada in Cardiff at 14:30
Pool B: South Africa v Japan in Brighton at 16:45
Pool D: France v Italy at Twickenham at 20:00
Brendon Mitchell
What a start to day two - and the best news is we've still got another three Rugby World Cup matches to go!
You can join us for Ireland v Canada right now by clicking here.
Nabil Hassan
BBC Sport at Kingsholm
Absolute scenes here at Kingsholm as Georgia rightly do a lap of honour.
It might not dominate the newspaper headlines in this country tomorrow morning, but what a great moment for Georgian rugby union.
At previous World Cups, they'd only ever registered wins over Namibia and Romania, but this victory over Tonga, ranked 11th in the world and only one place below Scotland, is a significant one.
Tonga 10-17 Georgia
Georgia have done it! Nigel Owens' full-time whistle sparks jubilant celebrations, led by their superb captain Mamuka Gorgodze. Their best-ever moment at a Rugby World Cup, no doubt.
Tonga 10-17 Georgia
Tonga win a penalty, which they'll send to touch. Is there a sting in the tail? Perhaps not - because Georgia will put into the scrum following the aftermath and this match could well be theirs.
The stats tell their own story for Tonga, but they're slipping to defeat...
Tonga 10-17 Georgia
But fly-half Lasha Malaghuradze, deputising from the tee with Merab Kvirikashvili in the sin bin, drags it wide. Still the match hangs well and truly in the balance.
The forward pass means a scrum - and Georgia win a penalty! Their pack has put them in a winning position in this game, and they may well have seen them over the line there too.
Lasha Malaghuradze will go for goal...
Tonga are right back in this contest, and Fetu'u Vainikolo even sniffs an instant second try down the left only to be pulled back for a forward pass. Big, big five minutes ahead at Kingsholm.
Tonga 10-17 Georgia
Game on? Fetu'u Vainikolo eventually crosses in the corner to become Tonga's leading try scorer and grab his team a lifeline.
Now, can Kurt Morath add the all-important extras from the angle? He certainly can!
It gets worse for Georgia, too, as full-back Merab Kvirikashvili is sent to the sin bin for offside. They will end this game with 14 men on the field.
Tackles do indeed win matches, and Georgia are having to make plenty of those at the moment. Tonga are back inside their 22, but the clock is ticking.
Tonga 3-17 Georgia
But another knock-on, just at the crucial moment, means Georgia have a scrum themselves, from which they win a penalty.
They have 12 minutes to hold on for what would undoubtedly be their finest Rugby World Cup victory.
The Pacific Islanders are throwing everything, plus the kitchen sink, at Georgia here, camped inside their 22, but unable to find a way over...
Tonga 3-17 Georgia
It turns out that Tonga centre Siale Piutau didn't have control of the ball as he slid over under pressure, but they were again playing with an advantage in their pocket, so we'll head back once more. To touch, we go...
Tonga 3-17 Georgia
Tonga may well have grabbed themselves a try, through Siale Piutau, but we're heading to the television match official to check the grounding...
Tonga are on the charge now, up to the five-metre line. Can they drive their way over? A wayward kick forward means they can't, for now - but referee Nigel Owens had already awarded them a penalty after Georgia were caught offside, so they head to touch once more.
Tonga really need a bit of magic now, and a high tackle hands them an opportunity to head to the corner. They must, must turn possession into points.
All the while, Georgia have brought on a new-look front row, including Sale Sharks hooker Shalva Mamukashvili.
Tonga 3-17 Georgia
Yes they can! Forward Giorgi Tkhilaishvili picks the ball up at the base of the ruck, brilliantly side-steps his way past the first tackler and then bursts over from close range.
Merab Kvirikashvili converts from a tight angle and Georgia's lead is 14. Could that advantage be a winning one?