The reigning world champions had to come from behind in their last two,
qualifiers to draw with Bosnia-Herzegovina and Ukraine.
Victory was never in doubt in this game as Griezmann finished off a fine move in the first half to open the scoring.
He made it 2-0 early in the second half, finishing from a tight angle.
Griezmann made the surprise move of transfer deadline day when he left,
Barcelona to re-join Atletico Madrid.
The 30-year-old has yet to play for his new club but has now scored three goals,
in his last three international appearances.
France are top of Group D with 12 points from six games and are seven points clear of Ukraine, who are second.