What Is the Highest-Scoring Game by a Single Player in NHL History? The record for the highest-scoring game by a single player in National Hockey League history dates back to the early years of the league, which was founded in 1917. Joe Malone, one of the great forwards of the early 20th century, scored seven goals for the Quebec Bulldogs on January 31, 1920. The Bulldogs defeated the Toronto St. Patricks 10-6. Malone’s record has yet to be equaled.