The Arizona Diamondbacks have the most runs per game by a team this month, with 6.

	TEAM	R/G	R	G	MONTH	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	Diamondbacks	6	24	4	June 2025	1.000	4	0	131	31	6	0	8	24	21	1	31	1	3	153	61	14	0	0	0	3	.237	.346	.466	.812
2	Red Sox	5.8	29	5	June 2025	.400	2	3	174	46	13	1	5	29	22	4	50	2	0	203	76	19	0	3	1	5	.264	.355	.437	.791
3	Twins	5.67	34	6	June 2025	.500	3	3	209	52	9	0	7	32	26	4	55	2	1	241	82	16	0	2	0	3	.249	.340	.392	.733
4	Blue Jays	5.6	28	5	June 2025	.800	4	1	169	44	11	1	6	28	10	2	25	2	1	181	75	18	0	0	0	2	.260	.309	.444	.753
5	Angels	5.4	27	5	June 2025	.600	3	2	169	37	6	1	6	26	14	3	37	3	2	188	63	13	1	1	0	5	.219	.289	.373	.662
6	Athletics	5.17	31	6	June 2025	.333	2	4	207	58	14	1	5	31	24	3	64	8	0	237	89	20	1	2	0	3	.280	.360	.430	.790
7	Mets	4.83	29	6	June 2025	.667	4	2	208	46	10	0	10	29	24	6	49	5	0	239	86	20	0	1	2	3	.221	.318	.413	.731
8	Cardinals	4.8	24	5	June 2025	.400	2	3	167	39	5	0	6	23	18	3	36	2	1	190	62	11	1	1	1	4	.234	.317	.371	.689
9	Royals	4.8	24	5	June 2025	.400	2	3	184	53	8	0	7	24	9	1	27	4	2	196	82	15	1	1	1	3	.288	.323	.446	.769
10	Cubs	4.6	23	5	June 2025	.600	3	2	177	48	9	1	4	23	14	2	36	8	3	196	71	14	0	3	1	0	.271	.327	.401	.728
11	Yankees	4.6	23	5	June 2025	.800	4	1	167	45	5	0	7	22	20	4	42	7	3	191	71	12	0	0	2	4	.269	.361	.425	.786
12	White Sox	4.17	25	6	June 2025	.500	3	3	190	47	9	1	3	21	24	1	41	1	3	222	67	13	4	3	1	7	.247	.330	.353	.683
13	Tigers	4.17	25	6	June 2025	.667	4	2	210	54	9	2	8	24	19	1	50	3	0	230	91	19	0	0	1	3	.257	.322	.433	.755
14	Braves	3.8	19	5	June 2025	.000	0	5	168	32	6	0	6	18	20	3	51	2	1	192	56	12	0	1	2	2	.190	.286	.333	.620
15	Orioles	3.8	19	5	June 2025	.800	4	1	162	39	7	2	6	18	16	0	40	0	0	181	68	15	0	3	0	6	.241	.304	.420	.724
16	Brewers	3.8	19	5	June 2025	.600	3	2	167	36	6	0	5	18	16	2	36	4	2	187	57	11	1	1	0	1	.216	.290	.341	.632
17	Rays	3.6	18	5	June 2025	.800	4	1	157	36	7	0	4	15	15	1	51	6	1	173	55	11	0	0	0	3	.229	.301	.350	.651
18	Rockies	3.4	17	5	June 2025	.600	3	2	166	39	10	3	6	17	6	2	38	3	2	176	73	19	0	2	0	3	.235	.267	.440	.707
19	Giants	3.33	20	6	June 2025	.667	4	2	192	41	9	0	3	18	22	2	46	9	1	222	59	12	2	4	1	5	.214	.295	.307	.603
20	Phillies	3.2	16	5	June 2025	.200	1	4	168	34	6	0	4	15	15	1	41	5	0	184	52	10	0	0	0	1	.202	.272	.310	.581
21	Rangers	3.2	16	5	June 2025	.200	1	4	160	31	6	0	5	16	12	1	50	4	2	176	52	11	1	2	1	1	.194	.251	.325	.576
22	Astros	3.2	16	5	June 2025	.800	4	1	164	36	5	0	5	16	13	1	42	6	0	179	56	10	0	1	0	4	.220	.279	.341	.621
23	Dodgers	3.17	19	6	June 2025	.333	2	4	206	47	10	0	7	18	13	1	58	2	1	221	78	17	0	1	2	4	.228	.276	.379	.655
24	Padres	3.17	19	6	June 2025	.667	4	2	207	51	8	1	3	19	16	2	53	4	2	229	70	12	2	2	0	2	.246	.304	.338	.642
25	Pirates	2.8	14	5	June 2025	.400	2	3	156	35	6	1	4	13	15	2	50	5	3	175	55	11	0	2	0	4	.224	.297	.353	.650