Peeters was drafted 135th overall by the Philadelphia Flyers in the 1977 NHL Amateur Draft after playing for the Medicine Hat Tigers of the WCHL. Peeters played in 489 career NHL games, with a record of 246 wins, 155 losses and 51 ties. He also registered 21 shutouts and a 3.08 Goals Against Average. Peeters also played several years for the Washington Capitals.