Grimou was born on 24 May 1678 at Argenteuil outside Paris. Little is known of Grimou’s career, though he was very probably a pupil of François de Troy. He was a member of the Académie de Saint-Luc and worked mainly as a portraitist, and also produced number of self-portraits. He was strongly influenced by Dutch and Flemish art, in particular by Rembrandt and his followers. Grimou died in early May 1733 in Paris.