Joe Malone of the Quebec Bulldogs holds the NHL record for goals scored in a game with 7 on January 31, 1920 against Toronto.
Joe Malone, 7 goals in one game for Quebec Bulldogs Jan 31, 1920
7 goals, Joe Malone, Quebec Bulldogs, Jan.31, 1920
WAYNE GRETSKY OVER 900
Daryl Sittler, 10
If you mean by an individual player , the number is 5, done by five different players. Most goals by one team was by Edmonton Oilers, when they scored 13 on Apr. 9, 1987. The most goals by two teams was 18 when Los Angeles beat Edmonton 10-8 on Apr. 7, 1982. To check all NHL playoff records, I suggest you Google "NHL Playoff Records" and read related pages shown. Pre-NHL, the most goals scored in a single Stanley Cup playoff game by a single player is 14, scored by Frank McGee in a 1905 playoff game pitting his team, Ottawa Senators, against the Dawson City Nuggets. That game also holds the Pre-NHL record for most goals in a single game for a team, 23. It should also be noted that Frank was blind in one eye when he played for Ottawa, as he lost vision in that eye in an amateur hockey game in 1900.
Most shots on goal, one season: Phil Esposito, 550 (1970-71)
In the NHL, that would be Wayne Gretzky who scored 92 goals in the 1981-82 season.
Wayne Gretzky has broken numerous records of having the most points.
Billy Taylor and Wayne Gretzky are tied with 7 assist each in a single game. (Gretzky has achieved this feat multiple times)