Scotland suffered a double injury blow just minutes into the game with Chloe Brown and Ellie Willamson both forced off, but grabbed the lead with a Gemma Bell try converted by Lucy MacRae.
The Scots were forced into another change with Molly Poolman going off after 11 minutes.
Despite some promising play from the Scots France turned on the power and crossed four times for a 26-7 half-time lead.
A Leah MacRae penalty reduced the arrears but France added a further seven tries, with five of them coming after Scotland had been reduced to 14 players by an injury to Eilidh Fleming.
Claire Cruikshank's side, who lost their opening game to Italy, wrap up the tournament against Ireland on Sunday.