Ty Cobb had the most games with 3+ hits, with 399 games.

Interpreted as:

most 3 or more hit regular-season games by a player in MLB history

	NAME	G	H	AB	R	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Ty Cobb T. Cobb	399	1,299	1,816	589	217	84	46		115	6		214		1,962	1,822	347	25				.715	.733	1.003	1.736
2	Pete Rose P. Rose	387	1,244	1,818	502	229	37	54	388	112	7	78	47	36	1,943	1,709	320	1	5	16	11	.684	.702	.940	1.642
3	Stan Musial S. Musial	319	1,032	1,449	481	192	59	136	515	116	5	36	17	3	1,574	1,750	387	1	3	5	12	.712	.733	1.208	1.941
4	Tristram Speaker T. Speaker	309	984	1,389	446	231	61	31		103	6		80		1,520	1,430	323	22				.708	.730	1.030	1.759
5	Rod Carew R. Carew	304	977	1,428	384	141	41	28	302	71	3	69	84	42	1,513	1,284	210	7	4	10	22	.684	.698	.899	1.597
6	Tony Gwynn T. Gwynn	297	946	1,364	372	161	20	44	318	78	3	29	80	30	1,452	1,279	225	0	7	29	9	.694	.707	.938	1.645
7	Rogers Hornsby R. Hornsby	296	940	1,311	443	186	54	110		95	5	50	33		1,434	1,564	350	23				.717	.737	1.193	1.930
8	Al Simmons A. Simmons	295	953	1,381	443	176	48	104	576	59	5	39	23		1,460	1,537	328	15			0	.690	.704	1.113	1.817
9	Paul Molitor P. Molitor	290	939	1,362	428	163	36	70	344	71	3	57	103	22	1,450	1,384	269	7	7	9	15	.689	.702	1.016	1.718
10	George Sisler G. Sisler	289	938	1,361	410	147	55	36		62	7	20	126		1,446	1,303	238	16				.689	.704	.957	1.662
11	Derek Jeter D. Jeter	288	913	1,361	398	146	21	66	297	68	11	109	67	21	1,455	1,299	233	10	5	3	18	.671	.687	.954	1.641
12	Roberto Clemente R. Clemente	288	919	1,355	384	143	47	77	358	40	3	90	21	8	1,402	1,387	267	1	3	9	22	.678	.687	1.024	1.710
13	Wade Boggs W. Boggs	286	923	1,317	373	164	25	36	271	105	0	44	8	2	1,434	1,245	225	6	6	21	16	.701	.720	.945	1.665
14	Hank Aaron H. Aaron	283	901	1,289	416	147	22	160	506	67	4	75	53	12	1,364	1,572	329	0	4	19	18	.699	.713	1.220	1.932
15	Paul Waner P. Waner	281	911	1,296	411	170	62	32	360	77	4	24	21		1,390	1,301	264	13			2	.703	.720	1.004	1.724
16	Eddie Collins E. Collins	274	868	1,242	346	118	48	6		92	9		138		1,373	1,100	172	30				.699	.722	.886	1.607
17	Sam Rice S. Rice	269	873	1,269	365	148	49	13		57	4	12	81		1,350	1,158	210	20				.688	.702	.913	1.615
18	George Brett G. Brett	265	861	1,191	358	176	41	71	363	84	2	33	53	31	1,281	1,332	288	0	4	22	7	.723	.739	1.118	1.858
19	Zack Wheat Z. Wheat	262	826	1,185	311	156	46	35		48	2		31		1,253	1,179	237	18				.697	.709	.995	1.704
20	Ichiro Suzuki I. Suzuki	259	837	1,234	362	83	29	45	209	66	5	61	112	28	1,312	1,113	157	3	4	18	7	.678	.694	.902	1.596
21	Willie Mays W. Mays	257	822	1,154	431	133	40	159	454	82	1	57	79	21	1,243	1,512	332	0	6	8	9	.712	.728	1.310	2.038
22	Charlie Gehringer C. Gehringer	256	832	1,221	422	172	42	60	411	85	1	17	43		1,315	1,268	274	8			2	.681	.702	1.038	1.741
23	Frankie Frisch F. Frisch	255	813	1,201	385	142	44	31	312	60	3	13	103		1,286	1,136	217	22				.677	.693	.946	1.639
24	Lou Gehrig L. Gehrig	254	815	1,162	470	159	51	163	590	127	5	41	21		1,301	1,565	373	7				.701	.732	1.347	2.079
25	Heinie Manush H. Manush	254	828	1,218	374	152	53	37	336	38	5	20	29		1,279	1,197	242	18				.680	.691	.983	1.673