The Texas Rangers had the most runs by a team in 1991, with 829 runs.

	TEAM	R	SEASON	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	Rangers	829	1991	162	.525	85	77	5,703	1,539	288	31	177	774	596	42	1,039	102	50	6,441	2,420	496	59	41	51	128	.270	.341	.424	.765
2	Tigers	817	1991	162	.519	84	78	5,547	1,372	259	26	209	778	699	31	1,185	109	47	6,359	2,310	494	38	44	40	90	.247	.333	.416	.749
3	Brewers	799	1991	162	.512	83	79	5,611	1,523	247	53	116	750	556	23	802	106	68	6,308	2,224	416	52	66	48	137	.271	.336	.396	.732
4	Twins	776	1991	162	.586	95	67	5,556	1,557	270	42	140	733	526	40	747	107	68	6,215	2,331	452	44	49	38	157	.280	.344	.420	.764
5	Pirates	768	1991	162	.605	98	64	5,449	1,433	259	50	126	725	620	35	901	124	46	6,269	2,170	435	99	66	62	111	.263	.338	.398	.737
6	Athletics	760	1991	162	.519	84	78	5,410	1,342	246	19	159	716	642	50	981	151	64	6,192	2,103	424	41	49	55	131	.248	.331	.389	.719
7	White Sox	758	1991	162	.537	87	75	5,594	1,464	226	39	139	722	610	37	896	134	74	6,358	2,185	404	76	41	45	132	.262	.336	.391	.727
8	Braves	749	1991	162	.580	94	68	5,456	1,407	255	30	141	704	563	32	906	165	76	6,182	2,145	426	86	45	55	104	.258	.328	.393	.722
9	Red Sox	731	1991	162	.519	84	78	5,530	1,486	305	25	126	691	593	32	820	59	39	6,256	2,219	456	50	51	49	143	.269	.340	.401	.741
10	Royals	727	1991	162	.506	82	80	5,584	1,475	290	41	117	689	523	35	969	119	68	6,242	2,198	448	53	47	47	126	.264	.328	.394	.722
11	Mariners	702	1991	162	.512	83	79	5,494	1,400	268	29	126	665	588	37	811	97	44	6,236	2,104	423	55	62	57	139	.255	.328	.383	.711
12	Cubs	695	1991	160	.481	77	83	5,522	1,395	232	26	159	654	442	36	879	123	64	6,130	2,156	417	75	55	41	87	.253	.309	.390	.700
13	Reds	689	1991	162	.457	74	88	5,501	1,419	250	27	164	654	488	32	1,006	124	56	6,134	2,215	441	72	41	54	85	.258	.320	.403	.723
14	Orioles	686	1991	162	.414	67	95	5,604	1,421	256	29	170	660	528	33	974	50	33	6,257	2,245	455	47	45	33	147	.254	.319	.401	.720
15	Blue Jays	684	1991	162	.562	91	71	5,489	1,412	295	45	133	649	499	58	1,043	148	53	6,167	2,196	473	56	65	49	108	.257	.322	.400	.722
16	Yankees	674	1991	162	.438	71	91	5,541	1,418	249	19	147	630	473	39	861	109	36	6,140	2,146	415	37	50	38	125	.256	.316	.387	.704
17	Dodgers	665	1991	162	.574	93	69	5,408	1,366	191	29	108	605	583	28	957	126	68	6,159	1,939	328	94	46	50	109	.253	.326	.359	.685
18	Angels	653	1991	162	.500	81	81	5,470	1,396	245	29	115	607	448	38	928	94	56	6,050	2,044	389	63	31	28	114	.255	.314	.374	.688
19	Cardinals	651	1991	162	.519	84	78	5,362	1,366	239	53	68	599	532	21	857	202	110	6,020	1,915	360	58	47	48	94	.255	.322	.357	.679
20	Giants	649	1991	162	.463	75	87	5,463	1,345	215	48	141	605	471	40	973	95	57	6,097	2,079	404	90	33	59	91	.246	.309	.381	.690
21	Mets	640	1991	161	.478	77	84	5,359	1,305	250	24	117	605	578	27	789	153	70	6,076	1,954	391	60	52	53	97	.244	.317	.365	.682
22	Padres	636	1991	162	.519	84	78	5,408	1,321	204	36	121	591	501	32	1,069	101	64	6,057	1,960	361	78	38	60	122	.244	.310	.362	.673
23	Phillies	629	1991	162	.481	78	84	5,521	1,332	248	33	111	590	490	21	1,026	92	30	6,133	1,979	392	52	49	48	114	.241	.303	.358	.662
24	Astros	605	1991	162	.401	65	97	5,504	1,345	240	43	79	570	502	35	1,027	125	68	6,147	1,908	362	63	43	45	87	.244	.309	.347	.656
25	Expos	579	1991	161	.441	71	90	5,412	1,329	236	42	95	536	484	28	1,056	221	100	6,035	1,934	373	64	47	51	97	.246	.308	.357	.666