Turkey started the game strong, scoring their first goal in the 30th minute with a header from Kaan Ayhan following Cengiz Under's free kick into the penalty area.
Under then raised the difference in the 40th minute, slipping the ball past Hugo Lloris after a sprint down the right wing to the French goal.
Les Bleus upped the pressure in the second half of the game, but missed several chances to score due to strong defence from their opponents and a solid performance from goalkeeper Mert Gunok.
Burak Yilmaz missed the chance to put Turkey further ahead at the 85th minute, sending the ball narrowly past the right post after a one-on-one with Lloris.
In other games in the group on Saturday, Iceland earned a 1-0 home win against Albania, while Moldova beat Andorra 1-0 at home.
Turkey now lead Group H with nine points having won all three games so far. They are followed by France then Iceland, both at six points.
(Reporting by Ali Kucukgocmen; Editing by Leslie Adler)
