Vibert was apprentice of Alexandre-Victor Lequien , Emmanuel Frémiet and Eugène Robert .
He exhibited at the Salon of French Artists from 1883 to 1907 and obtained an honorable mention there in 1893. An imposing bronze group Love Laughs at Wisdom was noticed at the Salon of 1885. He was especially famous in the 1890s for his works of art in bronze and pewter produced, among others, by the founder Siot-Decauville and Jollet & Cie, in particular the pitchers La Pêche (1893) and La Chasse (1894). His works are signed “A. Vibert”.