He was born in the town of Coucouron, Ardeche. He was the first child of Casimir Enjolras and Delphine Laurens. Since 1882, Delphin Enjolras studied for three years at the boarding school of Notre-Dame-de-France, Puy-en-Velay. He studied painting with the watercolorist Gaston Gerard in "École de Dessin de la Ville de Paris", as well as with Jean-Léon Gérôme in Beaux-Arts and Pascal Dagnan-Bouveret.
His mother died at the age of 32. Then the family settled in Langogne.
After graduation in 1889, he was offered the position of professor of drawing at the secondary school in Grenoble. But Delphin Enjolras chose to devote himself to painting.
After studying in Paris, he returned to the city of Puy-en-Velay, where he painted pictures of the city's old quarters and portraits. His portrait of Prefect Bonnefoy Sibour, made in Corsica, will allow him to exhibit in 1889 at the Salon des Artistes Français. Later he will also perform a portrait of General Général de Sonis, Admiral Fayolle, General Thomas and Charles Louis de Tinguy.
In 1892, at the invitation of Blachere, the artist moved to Saint-Gilles-du-Gard. In 1893 he married Marie Daudet. His portraits of local residents are known.
At the beginning of his career, the artist drew mostly landscapes, the love of drawing portraits of women manifested itself later. The artist changed genres, focusing mainly on the images of elegant young women more often with artificial lighting. The Delphin Enjolras became an artist of nude nature. Applying the technique of pastel painting in his portraits, he emphasized female grace in the light of a fire or a lantern.