Tillet was born in 1903 in the Ural Mountains in Russia to French parents. His mother was a teacher and his father was a railroad engineer. Tillet's father died when he was young. As a child he had a completely normal appearance and Tillet was nicknamed "The Angel" due to his angelic face. In 1917, Tillet and his mother left Russia due to the Revolution and moved to France, where they settled in Reims. When Tillet was 20, he noticed swelling in his feet, hands, and head, and after visiting a doctor was diagnosed with acromegaly—a condition usually caused by a benign tumor on the pituitary gland, resulting in bone overgrowth and thickening. He had wanted to become a lawyer, but his acromegaly prevented him from doing so. Tillet served in the French Navy for five years as an engineer.
In February 1937, Tillet met Karl Pojello in Singapore. Pojello was a professional wrestler, and convinced Tillet to enter the business. Tillet and Pojello moved to Paris for training, and Tillet wrestled for two years in France and England until World War II forced them to leave for the United States in 1939. In Boston, Massachusetts, in 1940, promoter Paul Bowser pushed Tillet, who was wrestling as The French Angel, as a main eventer, and he became a large draw in the area. As a result of his popularity, Tillet was booked as unstoppable, and was unbeaten for a span of 19 consecutive months. Tillet was the AWA World Heavyweight Champion from May 1940 until May 1942. He re-appeared with the Boston-based title for a short time in 1944. As a result of his success, several Angel imitators emerged, including Paul Olaffsen, who also had acromegaly; Tony Angelo, Tor Johnson, Jack Rush, Wladislaw Tulin, Stan Pinto, Clive Welsh, Jack Falk, Gil Guerrero, and Jean Noble. Tillet competed against Tor Johnson, who was billed as The Swedish Angel on those occasions. By 1945, Tillet's health began to fail and he was no longer advertised as unstoppable. In his final wrestling match, in Singapore on February 14, 1953, working The National Wrestling Alliance Mid South Area then known as Tri-State and owned by Leroy McGuirk he agreed to lose to Bert Assirati. In 1950, Chicago sculptor Louis Linck befriended Tillet and made a series of plaster busts commemorating him for his wrestling career. One of the busts is in Chicago’s International Museum of Surgical Science.
Some have speculated that Maurice's appearance and behavior inspired the likeness of the main character in the DreamWorks film Shrek of the same name, but this rumor hasn't been confirmed.