Lou Gehrig put up his most runs in a month in July 1931, with 42 runs.

	NAME	R	MONTH	G	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	PA	TB	XBH	SH	AVG	OBP	SLG	OPS
1	Lou Gehrig L. Gehrig	42	July 1931	31	122	43	5	4	11	41	25	0	12	5	147	89	20	0	.352	.463	.730	1.192
2	Lou Gehrig L. Gehrig	38	August 1935	35	126	48	11	2	10	48	39	1	11	3	166	93	23	0	.381	.530	.738	1.268
3	Lou Gehrig L. Gehrig	37	May 1936	28	107	39	6	2	5	17	24	4	9	1	135	64	13	0	.364	.496	.598	1.094
4	Lou Gehrig L. Gehrig	37	July 1930	35	136	51	12	5	12	50	21	0	17	1	161	109	29	4	.375	.459	.801	1.260
5	Lou Gehrig L. Gehrig	37	June 1930	28	111	55	11	3	10	41	20	3	10	5	137	102	24	3	.495	.582	.919	1.501
6	Lou Gehrig L. Gehrig	36	July 1936	30	105	35	7	0	13	37	35	0	13	1	140	81	20	0	.333	.500	.771	1.271
7	Lou Gehrig L. Gehrig	35	June 1936	26	106	48	11	2	12	31	19	0	4	1	125	99	25	0	.453	.536	.934	1.470
8	Lou Gehrig L. Gehrig	35	July 1927	31	116	45	11	4	10	41	24	2	18	2	146	94	25	4	.388	.500	.810	1.310
9	Lou Gehrig L. Gehrig	32	August 1938	36	140	46	8	3	9	38	25	1	18	1	166	87	20	0	.329	.434	.621	1.055
10	Lou Gehrig L. Gehrig	31	June 1937	26	90	36	5	2	6	16	23	0	7	1	113	63	13	0	.400	.522	.700	1.222
11	Lou Gehrig L. Gehrig	31	July 1934	31	119	44	8	2	12	39	20	1	1	1	140	92	22	0	.370	.464	.773	1.237
12	Lou Gehrig L. Gehrig	31	June 1933	31	129	46	14	2	7	36	17	0	10	6	146	85	23	0	.357	.432	.659	1.090
13	Lou Gehrig L. Gehrig	31	August 1931	30	126	50	9	3	8	39	17	0	13	3	144	89	20	1	.397	.469	.706	1.175
14	Lou Gehrig L. Gehrig	31	June 1929	28	102	35	4	4	10	27	28	1	12	2	134	77	18	3	.343	.489	.755	1.243
15	Lou Gehrig L. Gehrig	30	July 1937	29	114	42	10	1	9	40	24	1	7	1	139	81	20	0	.368	.482	.711	1.193
16	Lou Gehrig L. Gehrig	30	June 1932	28	113	39	9	0	12	36	23	0	9	0	136	84	21	0	.345	.456	.743	1.199
17	Lou Gehrig L. Gehrig	30	June 1931	27	114	43	8	3	11	33	14	0	5	4	128	90	22	0	.377	.445	.789	1.235
18	Lou Gehrig L. Gehrig	30	June 1928	24	96	37	7	4	6	26	14	1	17	0	112	70	17	1	.385	.468	.729	1.198
19	Lou Gehrig L. Gehrig	30	June 1926	27	108	42	11	5	3	24	17	0	17	0	126	72	19	1	.389	.472	.667	1.139
20	Lou Gehrig L. Gehrig	29	August 1937	30	112	40	3	5	11	45	26	2	15	1	140	86	19	0	.357	.486	.768	1.254
21	Lou Gehrig L. Gehrig	28	September 1933	26	89	30	5	2	10	27	21	0	7	0	111	69	17	1	.337	.464	.775	1.239
22	Lou Gehrig L. Gehrig	28	May 1928	29	107	37	7	2	8	28	15	1	16	0	125	72	17	2	.346	.431	.673	1.104
23	Lou Gehrig L. Gehrig	27	August 1932	29	119	43	8	1	7	30	14	0	9	2	134	74	16	1	.361	.429	.622	1.050
24	Lou Gehrig L. Gehrig	27	July 1932	34	126	44	8	1	5	30	29	2	9	0	157	69	14	0	.349	.478	.548	1.025
25	Lou Gehrig L. Gehrig	27	September 1931	28	108	29	1	2	8	30	21	0	7	0	129	58	11	0	.269	.388	.537	.925