His neo-classical memorial is in St Thomas's Church, Strasbourg - it was designed by Landolin Ohmacht and constructed in 1816, three years after Koch's death.
His principal works are: “The Judgment of Paris,” in the royal garden at Munich; the statue of Neptune at Münster, and that of Desaix between Kehl and Strasburg; the mausoleum of the emperor Rudolph in the cathedral of Spa; the statue of Luther at Weissenburg, and that of “Venus leaving her Bath,” which is regarded as his masterpiece.