The Sote, France native made his professional debut in 1971-72 with the Eastern Hockey League's New Haven Blades where he earned EHL North Rookie of the Year honours while also playing in two games with the American Hockey League's Providence Reds. An offensively gifted player, Peloffy spent three seasons with Providence and was selected by the Quebec Nordiques in the 1972 WHA General Player Draft.

Prior to the 1974-75 NHL season, the New York Rangers traded Peloffy to the Washington Capitals where later that season he made his NHL debut. Although he spent the majority of the season with the AHL's Richmond Robbins, Peloffy played in nine games with the Capitals before joining the AHL's Springfield Indians in 1976-77.

Peloffy captured the John B. Sollenberger Trophy as the AHL's leading scorer in 1977 and spent the next three seasons as a member of the Indians while playing in handful of games with WHA's New England Whalers.

In 1979-80 Peloffy headed to Europe where he spent the next 16 years of his career with stops in France and Austria returning briefly to Springfield and the AHL in 1980-81. Peloffy was a six-time member of France's World European Championship team (1981/82/83/85/86/87) where he was a two-time WEC-C All-Star (1981/83) and a member of its 1988 Olympic team before ending his playing career following the 1989-90 season.

Peloffy turned to coaching in 1990-91 with his former team the Paris Francais Volants as an assistant coach before becoming the head coach in 1993 until 1996.

Throughout his career, Andre Peloffy played in nine NHL games.