A late Duhan van der Merwe try – in the 85th minute – saw the Scots win at the Stade de France for the first time since 1999.
It meant the French fell well short of their target of winning by 21 points to nick the title from the Welsh, who they dramatically beat last week.
Wayne Pivac could not hide his joy as Wales celebrated a Six Nations title on Friday evening
Scotland’s 27-23 victory in France sealed a second Six Nations title in two years for Wales
Wales boss Wayne Pivac was delighted his side won the Six Nations – albeit a week late.
‘We’re very happy to have won the Championship,’ he told the BBC. ‘It’s a shame we couldn’t have done it as a group last week.
‘It’s been a great period for Gregor Townsend since the World Cup coaching Scotland – I’d like to congratulate him on that performance which has helped us win the Championship.
‘Some great rugby has been played in this tournament – it’s exciting times for all concerned. We’re very happy. We built throughout the competition.’
Pivac said it was a shame Wales could not complete the job last week when they played France
On the game itself, in which Scottish fly-half Finn Russell was sent off, Pivac added: ‘It was a hell of a game wasn’t it? It reminded me of last week with the cards, people coming and going, penalties and missed opportunities. What a tournament it’s been.
‘We don’t want to talk too much about last week but we felt we did quite a bit in that game to have won it. As a game it wasn’t to be.
‘It doesn’t take away from all the hard work. We’ve come out on top of the points table and have won the tournament.’