Griezmann volleyed home just inside the box from Corentin Tolisso's superb cross in the 18th minute to put Didier Deschamps's team ahead.
It was the 10th time in his last 12 games for the national side that the Atletico Madrid forward was involved in a goal.
Wales, who missed out on a place at next year's tournament in Russia, were just content to defend.
In the second half, Kylian Mbappe's cross was met by Giroud, who beat Wayne Hennessey with a left-footed shot in the 71st minute to seal the win.
(Reporting by Julien Pretot; Editing by Christian Radnedge)
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