Lévy is a Laureate of the Villa Kujoyama, a recipient of the Grand Prix de la Ville de Paris, and a Chevalier des Arts et des Lettres. His collaborations include projects with the Manufacture de Sèvres, Hermès, Diptyque, Musée de la Chasse, Perrotin Gallery, Saint-Louis, and Astier de Villatte, among others.