Between the 1995 and 1996 seasons, the Cleveland Indians had the most runs by a team, with 1,792 runs.

	TEAM	R	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	Indians	1,792	305	.652	199	106	10,709	3,126	614	46	425	1,707	1,213	78	1,610	292	103	12,170	5,107	1,085	65	105	84	292	.292	.365	.477	.842
2	Mariners	1,789	306	.536	164	142	10,664	3,002	619	39	427	1,721	1,219	114	1,923	200	80	12,187	4,980	1,085	98	92	110	230	.282	.359	.467	.826
3	Rockies	1,746	306	.523	160	146	10,584	3,013	556	80	421	1,658	1,011	138	2,051	326	125	11,979	4,992	1,057	163	83	87	236	.285	.352	.472	.824
4	Red Sox	1,719	306	.559	171	135	10,753	3,030	594	62	384	1,636	1,202	132	1,943	190	88	12,261	4,900	1,040	78	96	88	277	.282	.358	.456	.814
5	White Sox	1,653	307	.500	153	153	10,704	3,003	536	70	341	1,572	1,277	66	1,694	215	80	12,267	4,702	947	102	118	122	245	.281	.357	.439	.797
6	Orioles	1,653	307	.520	159	147	10,526	2,824	528	56	430	1,582	1,219	100	1,718	168	85	12,024	4,754	1,014	71	108	85	253	.268	.347	.452	.798
7	Brewers	1,634	306	.474	145	161	10,662	2,907	553	82	306	1,545	1,126	99	1,786	206	88	12,065	4,542	941	86	92	55	220	.273	.345	.426	.771
8	Yankees	1,620	307	.559	171	135	10,575	2,986	573	62	284	1,539	1,257	80	1,760	146	76	12,113	4,535	919	61	140	92	292	.282	.359	.429	.788
9	Rangers	1,619	307	.536	164	142	10,615	2,926	570	56	359	1,541	1,186	64	1,918	173	73	12,060	4,685	985	81	114	79	240	.276	.349	.441	.790
10	Athletics	1,591	306	.474	145	161	10,546	2,788	511	39	412	1,517	1,205	103	2,025	170	81	12,018	4,613	962	67	97	61	242	.264	.343	.437	.780
11	Twins	1,580	306	.438	134	172	10,678	3,031	602	81	238	1,474	1,047	123	1,874	248	110	11,985	4,509	921	38	99	74	324	.284	.352	.422	.774
12	Angels	1,563	306	.484	148	158	10,705	2,961	508	49	378	1,488	1,091	65	1,863	111	78	12,010	4,701	935	78	71	80	263	.277	.345	.439	.784
13	Reds	1,525	306	.542	166	140	10,358	2,724	536	71	352	1,427	1,123	74	2,080	361	131	11,787	4,458	959	133	99	89	207	.263	.336	.430	.767
14	Astros	1,500	306	.516	158	148	10,605	2,848	557	51	238	1,397	1,120	153	2,049	356	123	12,126	4,221	846	146	102	122	229	.269	.344	.398	.742
15	Cubs	1,465	306	.487	149	157	10,494	2,703	534	58	333	1,373	963	95	2,043	213	87	11,772	4,352	925	137	83	94	236	.258	.323	.415	.738
16	Padres	1,439	306	.526	161	145	10,605	2,844	516	44	263	1,336	1,048	85	1,886	233	101	11,943	4,237	823	115	90	107	271	.268	.336	.400	.736
17	Tigers	1,437	306	.369	113	193	10,395	2,617	485	50	363	1,360	1,097	70	2,255	160	86	11,737	4,291	898	83	92	56	253	.252	.325	.413	.737
18	Braves	1,418	306	.608	186	120	10,428	2,716	474	55	365	1,353	1,050	67	1,965	156	86	11,754	4,395	894	125	84	78	250	.260	.330	.421	.751
19	Blue Jays	1,408	306	.425	130	176	10,635	2,760	577	62	317	1,325	1,021	136	2,011	191	54	11,945	4,412	956	71	82	46	239	.260	.330	.415	.745
20	Pirates	1,405	306	.428	131	175	10,602	2,790	564	60	263	1,325	966	64	1,961	210	104	11,837	4,263	887	123	82	91	195	.263	.326	.402	.728
21	Giants	1,404	306	.441	135	171	10,504	2,656	474	54	305	1,317	1,087	105	2,249	251	99	11,919	4,153	833	156	67	117	200	.253	.327	.395	.723
22	Mets	1,403	306	.458	140	166	10,576	2,838	485	81	272	1,314	891	75	2,063	155	87	11,801	4,301	838	167	92	98	219	.268	.327	.407	.734
23	Royals	1,375	305	.475	145	160	10,445	2,752	526	73	242	1,267	1,004	86	1,792	315	138	11,755	4,150	841	132	88	69	207	.263	.331	.397	.728
24	Expos	1,362	306	.503	154	152	10,410	2,709	562	51	266	1,268	892	114	1,978	228	83	11,621	4,171	879	137	68	92	226	.260	.323	.401	.724
25	Marlins	1,361	305	.482	147	158	10,384	2,691	454	59	294	1,286	1,070	104	2,038	230	99	11,761	4,145	807	110	93	87	243	.259	.332	.399	.731