Thousands of jubilant fans are making their way home after celebrating "one of the best games in Scotland's football history".
Scotland beat France 1-0 in the crucial Euro 2008 qualifier, with a stunning strike from Everton's James McFadden.
First Minister Alex Salmond praised the team for an "outstanding match".
The win, which was the first on French soil for 57 years, was a repeat of the victory over France in October last year at Hampden Park.
Manager Alex McLeish said after the match that it was the best Scottish football result "of modern times".
He said: "We weren't given a prayer and we have said that the team is not as gifted as other Scottish teams but we showed tonight that we can play football as well."
'Air of optimism'
Prime Minister Gordon Brown contacted McLeish on his mobile phone immediately after the final whistle to pass on his congratulations.
"It was a magnificent victory, a tremendous effort by all the players and Alex and his backroom staff," Mr Brown said.
"In all my days following Scotland, I can't think of a better result."
Fans were jubilant after McFadden scored
Mr Salmond, who watched the game at his official residence, Bute house in Edinburgh, said: "The team played an outstanding match - one of the best games in Scotland's football history.
"Well done to Alex and the lads. There's an air of optimism sweeping the country."
Gary Bannatyne, secretary of the Cumbernauld branch of the Tartan Army, was in the Park des Princes stadium to see the historic win.
"The result was amazing, unbelievable - no-one can believe it," he said.
"It's probably the best ever result for Scotland.
"It's really, really up there, probably because we were away from home. That's what has made it so special."
Scotland are now top of their group with three matches remaining - against Ukraine, Georgia and Italy.
The Scots were last night made 6/4 on by bookmakers William Hill to reach the Euro 2008 finals.
If the team qualify, it will be Scotland's first appearance at a major finals since the World Cup in 1998.
Sports Minister Stewart Maxwell said the win was a "brilliant result".