Mouchy made a statue of Cupid Carving his Darts from the Club of Hercules from an original by Edmé Bouchardon.
The copy was installed in a small round Temple of Love built for Marie Antoinette by Richard Mique in the garden of the Petit Trianon.
Mouchy collaborated with Simon-Louis Boizot (1743–1809) on statues for Saint-Sulpice.
He was more comfortable with realist work, where the subjects were dressed in 17th century costumes, than with the classical style.
His marble seated figure of Harpocrates, an ancient god, was criticized as being "spindly", with a head that did not appear noble.
Mouchy was made an assistant professor at the Académie royale, which gave him precedence when the comte d'Angiviller was commissioning statues of prominent Frenchmen for the state after Louis XVI became king in 1774.
Only Augustin Pajou received more commissions.
Mouchy made busts of Voltaire and Maurice de Saxe for the Marquis de Marigny to decorate his garden.
Mouchy accepted a commission from the controller-general, Joseph Marie Terray (1715–78), for a statue of Apollo, representing the Arts.
It was to be paired with Pajou's statue of Mercury, representing commerce. After Terray died his collection was auctioned off in January 1779.
Neither statue was complete, and they had to be viewed in the sculptors' studios.
Mouchy's son-in-law was the painter and engraver Philibert-Louis Debucourt.
In the marriage contract Mouchy generously offered to provide a three-room apartment at the Louvre, where Debucourt lived for twelve and a half years.
Mouchy died in 1801.
Statue of Mary by Pigalle at Saint-Sulpice. The stucco decoration is by Mouchy
Seated shepherd, Mouchy's reception piece for the Academy
Cupid Carving his Darts from the Club of Hercules
Harpocrates, god of silence
