Most Goals, One Season

446-Edmonton Oilers, 1983-84
426-Edmonton Oilers, 1985-86
424-Edmonton Oilers, 1982-83
417-Edmonton Oilers, 1981-82
401-Edmonton Oilers, 1984-85

Most Goals, One Team, One Game

16-Montreal Canadiens, Mar 3, 1920, against the Quebec Bulldogs, final score, 16-3.

Most Goals, Both Teams, One Game

21-Montreal Canadiens, Toronto St. Pats, Jan 10, 1920, Montreal won 14-7.
21-Edmonton Oilers, Chicago Blackhawks, Dec 11, 1985, Edmonton won 12-9
20-Edmonton Oilers, Minnesota North Stars, Jan 4, 1984, Edmonton won 12-8
20-Toronto Maple Leafs, Edmonton Oilers, Jan 8, 1986, Toronto won 11-9.
19 -19 goals in a single game has been recorded 6 times, with the first being the Montreal Wanderers and the Toronto Arenas on Dec 19, 1917, and the last on Oct 7, 1983 between the Vancouver Canucks and the Minnesota North Stars.

Most Goals, One Team, One Period

9-Buffalo Sabres, Mar 19, 1981, second period.

Most Goals, Both Teams, One Period

12-Buffalo Sabres, Toronto Maple Leafs, Mar 19, 1981 in the second period. Buffalo had 9 goals and Toronto 3.
12-Edmonton Oilers, Chicago Blackhawks, Dec 11, 1985 in the second period, Edmonton and Chicago each had      6 goals.

Most Consecutive Goals, One Team, One Game

15-Detroit Red Wings, Jan 23, 1944, defeating New York Rangers 15-0.

Fewest Goals, One Season

33-Chicago Blackhawks, 1928-29
45-Montreal Maroons, 1924-25
46-Pittsburgh Pirates, 1928-29

Fewest Goals, One Season (Min 70 Game Schedule)

133-Chicago Blackhawks, 1953-54
147-Toronto Maple Leafs, 1954-55
147-Boston Bruins, 1955-56
150-New York Rangers, 1954-55