Mookie Betts, Sammy Sosa and Johnny Mize are tied for the most games with 3+ home runs, with 6 games.

Interpreted as:

most 3 or more home run regular-season games by a player ever

	NAME	G	HR	AB	R	H	2B	3B	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Mookie Betts M. Betts	6	18	27	21	22	1	0	29	2	1	0	0	0	30	77	19	0	0	0	0	.815	.833	2.852	3.685
2	Sammy Sosa S. Sosa	6	18	24	18	18	0	0	30	1	0	2	0	0	25	72	18	0	0	0	0	.750	.760	3.000	3.760
3	Johnny Mize J. Mize	6	18	26	20	18	0	0	30	2	0	1	0		28	72	18	0			0	.692	.714	2.769	3.484
4	Alex Rodriguez A. Rodriguez	5	15	23	17	18	0	0	30	1	0	3	1	0	24	63	15	0	0	0	1	.783	.792	2.739	3.531
5	Carlos Delgado C. Delgado	5	16	22	17	16	0	0	21	1	0	3	0	0	23	64	16	0	0	0	0	.727	.739	2.909	3.648
6	Mark McGwire M. McGwire	5	15	21	18	16	0	0	26	4	0	3	0	0	25	61	15	0	0	2	0	.762	.800	2.905	3.705
7	Joe Carter J. Carter	5	15	21	15	18	0	0	22	1	0	2	1	0	23	63	15	0	1	0	0	.857	.826	3.000	3.826
8	Dave Kingman D. Kingman	5	15	27	16	17	0	0	33	2	0	4	0	0	29	62	15	0	0	0	1	.630	.655	2.296	2.951
9	Kyle Schwarber K. Schwarber	4	13	20	14	16	2	0	26	1	0	1	0	0	21	57	15	0	0	0	0	.800	.810	2.850	3.660
10	Albert Pujols A. Pujols	4	12	16	15	14	1	0	19	3	0	0	0	0	19	51	13	0	0	1	0	.875	.895	3.188	4.082
11	Aramis Ramirez A. Ramirez	4	12	17	12	13	1	0	21	1	0	3	0	0	18	50	13	0	0	0	0	.765	.778	2.941	3.719
12	Steve Finley S. Finley	4	12	19	13	13	0	0	16	2	0	2	0	0	21	49	12	0	0	0	0	.684	.714	2.579	3.293
13	Barry Bonds B. Bonds	4	12	19	13	15	2	0	15	2	0	2	1	0	21	53	14	0	0	0	0	.789	.810	2.789	3.599
14	Larry Parrish L. Parrish	4	12	20	15	15	1	0	23	0	0	2	0	0	20	52	13	0	0	0	0	.750	.750	2.600	3.350
15	Willie Stargell W. Stargell	4	12	19	13	15	2	0	22	0	0	4	1	0	19	53	14	0	0	0	0	.789	.789	2.789	3.579
16	Ernie Banks E. Banks	4	12	18	14	14	1	0	18	1	0	0	0	0	19	51	13	0	0	0	0	.778	.789	2.833	3.623
17	Ralph Kiner R. Kiner	4	12	17	14	12	0	0	23	4	0	0	0	0	21	48	12	0			0	.706	.762	2.824	3.585
18	Lou Gehrig L. Gehrig	4	13	20	14	15	0	0	23	2	0	1	0		23	54	13	1				.750	.773	2.700	3.473
19	Aaron Judge A. Judge	3	9	14	10	11	2	0	20	0	0	0	0	0	14	40	11	0	0	0	0	.786	.786	2.857	3.643
20	Eugenio Suárez E. Suárez	3	10	14	11	11	0	0	15	0	0	0	0	0	14	41	10	0	0	0	0	.786	.786	2.929	3.714
21	Yordan Alvarez Y. Alvarez	3	9	13	10	11	0	0	14	2	0	0	0	0	15	38	9	0	0	0	1	.846	.867	2.923	3.790
22	Paul Goldschmidt P. Goldschmidt	3	9	14	11	11	0	0	15	2	0	1	1	0	16	38	9	0	0	1	0	.786	.813	2.714	3.527
23	J.D. Martinez	3	10	16	11	11	0	0	16	0	0	4	0	0	16	41	10	0	0	0	0	.688	.688	2.563	3.250
24	Edwin Encarnacion E. Encarnacion	3	9	14	10	9	0	0	18	0	0	0	0	0	14	36	9	0	0	0	0	.643	.643	2.571	3.214
25	Andrew McCutchen A. McCutchen	3	9	13	11	10	0	0	14	2	0	0	0	0	15	37	9	0	0	0	1	.769	.800	2.846	3.646