Between the 1970 and 1979 seasons, the Boston Red Sox put up the most runs by a team, with 7,559 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	Red Sox	7,559	1,609	.556	895	714	54,750	14,579	2,577	384	1,591	7,128	5,505	335	8,215	746	484	61,678	22,697	4,552	565	523	459	1,354	.266	.334	.415	.749
2	Reds	7,525	1,611	.592	953	657	54,911	14,406	2,527	391	1,439	7,004	6,145	287	9,222	1,392	514	62,501	22,032	4,357	679	479	706	1,182	.262	.337	.401	.738
3	Pirates	7,276	1,612	.569	916	695	55,933	15,031	2,489	534	1,306	6,778	4,601	338	8,577	1,090	505	61,981	22,506	4,329	629	480	747	1,176	.269	.325	.402	.728
4	Twins	7,110	1,607	.506	812	794	55,181	14,799	2,264	416	1,112	6,637	5,415	370	7,992	834	517	62,229	21,231	3,792	801	462	510	1,346	.268	.335	.385	.720
5	Royals	7,055	1,611	.528	851	760	54,807	14,404	2,530	519	1,001	6,600	5,355	308	7,283	1,529	716	61,597	20,975	4,050	585	542	472	1,180	.263	.329	.383	.712
6	Dodgers	6,960	1,612	.565	910	701	55,001	14,405	2,185	351	1,261	6,531	5,455	251	8,114	1,193	528	62,061	21,075	3,797	872	482	717	1,215	.262	.329	.383	.712
7	Yankees	6,908	1,608	.555	892	715	54,668	14,366	2,219	355	1,232	6,507	5,167	287	6,876	872	505	61,147	20,991	3,806	524	501	458	1,258	.263	.327	.384	.711
8	Orioles	6,902	1,600	.590	944	656	54,166	13,790	2,242	283	1,398	6,450	5,872	365	8,626	1,037	517	61,460	20,792	3,923	605	452	525	1,244	.255	.329	.384	.713
9	Cubs	6,796	1,613	.487	785	827	54,788	14,139	2,248	374	1,185	6,306	5,609	274	8,083	683	510	61,928	20,690	3,807	801	456	664	1,276	.258	.328	.378	.705
10	Giants	6,784	1,612	.493	794	818	54,458	13,724	2,237	397	1,254	6,252	5,825	293	8,927	1,030	499	61,775	20,517	3,888	785	414	663	1,186	.252	.325	.377	.702
11	Cardinals	6,730	1,616	.496	800	813	55,512	14,726	2,389	494	855	6,236	4,936	276	7,942	1,203	583	61,891	20,668	3,738	692	475	684	1,331	.265	.326	.372	.698
12	Phillies	6,716	1,614	.503	812	801	54,859	14,059	2,390	436	1,224	6,264	5,329	328	9,017	1,011	587	61,665	20,993	4,050	653	496	670	1,109	.256	.323	.383	.706
13	Braves	6,617	1,611	.451	725	883	54,669	13,902	1,992	287	1,360	6,188	5,376	263	8,033	717	466	61,480	20,548	3,639	759	413	586	1,284	.254	.322	.376	.698
14	White Sox	6,601	1,608	.469	752	853	54,542	14,146	2,183	349	1,207	6,140	5,110	362	8,041	826	557	61,084	20,648	3,739	602	468	417	1,299	.259	.324	.379	.703
15	Athletics	6,574	1,610	.520	838	772	53,703	13,274	2,011	309	1,333	6,097	5,384	370	8,801	1,538	799	60,642	19,902	3,653	759	426	461	1,118	.247	.318	.371	.688
16	Tigers	6,564	1,609	.490	789	820	54,441	13,847	2,058	366	1,422	6,156	5,047	315	7,853	672	448	60,783	20,903	3,846	549	431	412	1,361	.254	.319	.384	.703
17	Astros	6,528	1,611	.493	793	817	54,715	13,953	2,282	474	961	6,052	5,003	287	8,340	1,364	606	61,204	20,066	3,717	771	428	637	1,188	.255	.318	.367	.685
18	Brewers	6,490	1,612	.458	738	873	54,065	13,607	2,209	355	1,300	6,103	5,246	289	8,906	860	622	60,802	20,426	3,864	789	413	389	1,182	.252	.319	.378	.697
19	Rangers	6,472	1,608	.465	747	860	54,320	13,712	2,086	287	1,110	6,046	5,586	327	8,334	1,088	627	61,412	19,702	3,483	725	454	467	1,281	.252	.323	.363	.686
20	Indians	6,384	1,603	.460	737	866	54,251	13,801	2,029	292	1,254	5,960	4,973	289	7,558	745	660	60,657	20,176	3,575	709	435	376	1,305	.254	.318	.372	.690
21	Expos	6,283	1,611	.465	748	862	54,230	13,445	2,231	324	1,120	5,809	5,341	369	8,632	868	521	61,245	19,684	3,675	921	384	630	1,200	.248	.318	.363	.681
22	Angels	6,253	1,613	.484	781	831	54,292	13,627	2,073	319	997	5,812	5,061	371	8,244	1,067	623	60,942	19,329	3,389	774	444	456	1,265	.251	.317	.356	.673
23	Mets	6,039	1,614	.473	763	850	54,416	13,322	2,094	334	955	5,575	5,595	294	8,685	749	504	61,523	18,949	3,383	813	405	579	1,357	.245	.316	.348	.665
24	Padres	5,752	1,609	.415	667	942	54,151	13,066	2,031	361	1,011	5,336	4,976	273	9,117	943	498	60,732	18,852	3,403	991	341	588	1,096	.241	.307	.348	.655
25	Mariners	1,949	484	.386	187	297	16,362	4,215	697	122	362	1,836	1,463	85	2,196	359	166	18,269	6,242	1,181	210	149	92	384	.258	.319	.381	.701