Joe Malone has the most games with 5+ goals in a season, with 3 games in his rookie season in 1917-18.

most 5 or more goal games by a NHL player in a season

	NAME	GP	G	SEASON	TM	A	P	+/-	PIM	PPG	PPA	SHG	SHA	GWG	OTG	S	S%	FOW	FO	FOW%	HIT	BKS	TKA	GVA	TOI/GP
1	Joe Malone J. Malone	3	15	1917-18	MTL	2	17		0					2	0
2	Joe Malone J. Malone	2	13	1919-20	QBD	0	13		4					1	0
3	Tage Thompson T. Thompson	1	5	2022-23	BUF	1	6	+3	0	2	1	0	0	1	0	9	55.6	2	5	40.0	0	0	0	0	13:56
4	Timo Meier T. Meier	1	5	2021-22	SJS	0	5	+3	0	2	0	0	0	1	0	6	83.3	0	0		0	1	2	1	18:14
5	Mika Zibanejad M. Zibanejad	1	5	2019-20	NYR	0	5	0	0	2	0	0	0	1	1	8	62.5	8	20	40.0	1	1	0	2	24:56
6	Patrik Laine P. Laine	1	5	2018-19	WPG	0	5	+2	0	1	0	0	0	1	0	5	100.0	0	1	0.0	1	1	1	0	18:43
7	Johan Franzen J. Franzen	1	5	2010-11	DET	0	5	+3	0	2	0	0	0	1	0	10	50.0	0	0		0	0	0	0	18:28
8	Marian Gaborik M. Gaborik	1	5	2007-08	MIN	1	6	+2	0	2	1	0	0	0	0	10	50.0	0	0		0	0	1	1	20:36
9	Sergei Fedorov S. Fedorov	1	5	1996-97	DET	0	5	+4	0	0	0	0	0	1	1	7	71.4
10	Mario Lemieux M. Lemieux	1	5	1995-96	PIT	2	7	+3	0	2	1	1	0	1	0	7	71.4
11	Alexei Zhamnov A. Zhamnov	1	5	1994-95	WIN	0	5	+3	0	0	0	0	0	0	0	6	83.3
12	Mike Ricci M. Ricci	1	5	1993-94	QUE	0	5	+4	0	1	0	1	0	1	0	9	55.6
13	Peter Bondra P. Bondra	1	5	1993-94	WSH	0	5	+3	0	1	0	0	0	1	0	7	71.4
14	Mario Lemieux M. Lemieux	1	5	1992-93	PIT	0	5	+5	0	1	0	1	0	1	0	8	62.5
15	Mats Sundin M. Sundin	1	5	1991-92	QUE	2	7	+4	0	1	0	0	0	0	0	8	62.5
16	Joe Nieuwendyk J. Nieuwendyk	1	5	1988-89	CGY	0	5	+4	0	2	0	1	0	1	0	12	41.7
17	Mario Lemieux M. Lemieux	1	5	1988-89	PIT	3	8	+2	2	1	3	2	0	0	0	8	62.5
18	Wayne Gretzky W. Gretzky	1	5	1987-88	EDM	1	6	+4	0	2	0	0	0	1	0	13	38.5
19	Dave Andreychuk D. Andreychuk	1	5	1985-86	BUF	1	6	+1	0	2	1	0	0	1	0	7	71.4
20	Wayne Gretzky W. Gretzky	1	5	1984-85	EDM	1	6	+6	0	0	0	0	0	1	0	5	100.0
21	Pat Hughes P. Hughes	1	5	1983-84	EDM	0	5	+1	0	1	0	0	0	0	0	10	50.0
22	Bengt-Ake Gustafsson B. Gustafsson	1	5	1983-84	WSH	0	5	+3	0	2	0	0	0	1	0	5	100.0
23	Jari Kurri J. Kurri	1	5	1983-84	EDM	1	6	+5	0	1	0	0	0	0	0	6	83.3
24	Mark Pavelich M. Pavelich	1	5	1982-83	NYR	0	5	+4	2	2	0	0	0	0	0	6	83.3
25	Willy Lindstrom W. Lindstrom	1	5	1981-82	WIN	1	6	+3	0	1	0	0	0	1	0	6	83.3