The Seattle Mariners put up the most runs by a team in June 2001, with 170 runs.

	TEAM	R	MONTH	G	W%	W	L	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Mariners	170	June 2001	27	.667	18	9	926	265	53	7	40	162	103	13	164	30	6	1,062	452	100	11	9	6	15	.286	.363	.488	.851
2	Diamondbacks	167	June 2001	27	.667	18	9	938	281	43	9	37	160	107	9	166	9	4	1,080	453	89	17	9	12	13	.300	.373	.483	.856
3	Rockies	162	June 2001	27	.444	12	15	948	286	42	5	48	154	80	7	160	17	11	1,058	482	95	14	9	5	17	.302	.357	.508	.866
4	Braves	158	June 2001	28	.679	19	9	1,003	292	55	7	25	150	89	14	168	28	11	1,135	436	87	14	15	17	22	.291	.352	.435	.787
5	Phillies	155	June 2001	28	.429	12	16	959	255	62	9	26	150	94	6	177	32	3	1,085	413	97	9	17	8	16	.266	.330	.431	.761
6	Rangers	154	June 2001	27	.444	12	15	957	247	42	4	44	147	86	8	193	8	3	1,070	429	90	7	12	4	13	.258	.321	.448	.769
7	Astros	154	June 2001	27	.556	15	12	936	268	58	2	49	146	80	22	184	8	9	1,061	477	109	11	12	10	27	.286	.352	.510	.862
8	Marlins	150	June 2001	29	.552	16	13	970	256	69	4	28	147	87	14	184	12	7	1,090	417	101	8	11	5	17	.264	.330	.430	.760
9	Twins	147	June 2001	28	.500	14	14	971	280	62	6	23	137	81	12	198	27	11	1,075	423	91	4	7	5	24	.288	.348	.436	.784
10	Yankees	147	June 2001	27	.593	16	11	898	239	47	7	37	142	105	8	161	28	8	1,023	411	91	7	5	8	22	.266	.346	.458	.804
11	Dodgers	144	June 2001	27	.481	13	14	952	268	50	2	41	139	88	12	171	19	9	1,070	445	93	13	5	9	17	.282	.348	.467	.816
12	Red Sox	140	June 2001	28	.607	17	11	988	271	58	6	38	133	110	13	206	10	3	1,130	455	102	8	11	16	25	.274	.351	.461	.812
13	Indians	137	June 2001	27	.444	12	15	928	263	37	7	42	131	102	9	158	17	7	1,056	440	86	9	8	3	25	.283	.357	.474	.831
14	Reds	136	June 2001	27	.444	12	15	965	268	52	5	37	123	87	6	193	17	12	1,079	441	94	11	10	12	21	.278	.338	.457	.795
15	Padres	135	June 2001	28	.357	10	18	971	245	49	3	24	131	132	5	208	20	12	1,122	372	76	6	8	7	22	.252	.342	.383	.725
16	Pirates	134	June 2001	27	.444	12	15	917	245	58	3	29	127	96	16	162	23	7	1,049	396	90	15	5	10	20	.267	.345	.432	.777
17	Giants	132	June 2001	27	.630	17	10	930	255	49	6	33	130	103	9	193	10	6	1,066	415	88	15	9	14	19	.274	.349	.446	.795
18	White Sox	127	June 2001	27	.667	18	9	909	245	47	3	39	124	68	12	151	21	11	1,003	415	89	10	4	5	23	.270	.327	.457	.784
19	Orioles	127	June 2001	28	.500	14	14	971	268	41	4	35	124	83	13	169	27	10	1,077	422	80	5	5	4	20	.276	.340	.435	.774
20	Athletics	124	June 2001	27	.444	12	15	900	215	44	3	31	122	86	21	165	5	5	1,019	358	78	4	8	7	21	.239	.317	.398	.715
21	Expos	123	June 2001	27	.444	12	15	905	230	54	3	18	115	77	12	183	13	13	1,011	344	75	10	7	8	26	.254	.319	.380	.699
22	Blue Jays	123	June 2001	27	.444	12	15	923	250	61	9	22	119	78	15	176	27	12	1,034	395	92	9	9	10	19	.271	.335	.428	.763
23	Devil Rays	121	June 2001	27	.333	9	18	908	226	52	6	25	117	80	10	208	13	5	1,014	365	83	9	7	5	15	.249	.314	.402	.716
24	Cardinals	120	June 2001	27	.407	11	16	901	233	38	7	30	114	91	11	167	12	6	1,021	375	75	9	9	7	20	.259	.331	.416	.747
25	Mets	119	June 2001	28	.464	13	15	963	250	43	2	31	112	102	6	177	9	6	1,089	390	76	12	6	17	21	.260	.332	.405	.737