Since 2010, the Boston Red Sox have the most runs by a team, with 11,973 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	11,973	2,427	.527	1,278	1,149	84,197	22,232	4,984	364	2,823	11,396	7,954	861	19,388	1,370	419	93,927	36,413	8,171	254	661	508	1,873	.264	.331	.432	.764
2	Yankees	11,731	2,424	.567	1,374	1,050	81,980	20,616	3,817	301	3,345	11,211	8,705	898	19,404	1,356	410	92,573	35,070	7,463	300	690	382	1,849	.251	.327	.428	.755
3	Dodgers	11,459	2,425	.592	1,435	990	82,103	20,899	4,228	377	2,930	10,940	8,545	958	19,324	1,340	439	92,889	34,671	7,535	616	667	585	1,694	.255	.329	.422	.752
4	Blue Jays	11,207	2,424	.506	1,227	1,197	82,354	20,722	4,280	280	3,137	10,716	7,814	802	18,767	1,198	422	91,879	34,973	7,697	316	593	289	1,877	.252	.320	.425	.745
5	Rockies	11,196	2,424	.438	1,062	1,362	82,916	21,621	4,300	607	2,689	10,708	7,067	696	20,416	1,278	515	91,967	35,202	7,596	687	601	476	1,776	.261	.322	.425	.746
6	Rangers	11,192	2,426	.498	1,209	1,217	82,525	20,928	3,971	359	2,839	10,631	7,349	922	19,130	1,680	582	91,843	34,134	7,169	401	646	359	1,662	.254	.319	.414	.733
7	Diamondbacks	11,043	2,425	.480	1,164	1,261	82,597	20,712	4,286	583	2,618	10,514	7,914	825	19,911	1,520	494	92,606	34,018	7,487	609	661	511	1,695	.251	.320	.412	.732
8	Astros	10,978	2,423	.517	1,253	1,170	82,368	20,969	4,194	324	2,845	10,467	7,526	872	18,835	1,420	525	91,809	34,346	7,363	413	630	341	1,891	.255	.321	.417	.738
9	Twins	10,956	2,424	.482	1,168	1,256	82,680	20,806	4,278	387	2,715	10,444	7,754	892	19,575	1,082	417	92,250	34,003	7,380	311	613	343	1,733	.252	.320	.411	.732
10	Cardinals	10,928	2,423	.544	1,317	1,106	82,026	20,932	4,156	337	2,591	10,415	7,852	1,025	18,616	1,142	457	92,182	33,535	7,084	638	641	504	1,836	.255	.326	.409	.734
11	Braves	10,874	2,421	.538	1,302	1,119	82,236	20,781	4,131	324	2,786	10,394	7,897	815	19,823	1,214	445	92,129	33,918	7,241	627	554	550	1,759	.253	.322	.412	.735
12	Brewers	10,790	2,425	.526	1,275	1,150	81,673	20,282	3,957	388	2,830	10,290	7,948	982	20,495	1,844	538	91,768	33,505	7,175	618	547	458	1,780	.248	.320	.410	.731
13	Cubs	10,760	2,426	.503	1,220	1,205	81,998	20,281	4,072	441	2,731	10,245	7,923	1,085	20,601	1,293	502	92,117	33,428	7,244	553	558	481	1,690	.247	.320	.408	.728
14	Rays	10,738	2,426	.542	1,315	1,111	81,946	20,258	4,100	440	2,690	10,221	8,059	1,031	20,564	1,746	636	91,974	33,308	7,230	305	633	340	1,629	.247	.320	.406	.727
15	Nationals	10,678	2,423	.497	1,205	1,218	81,868	20,773	4,095	367	2,591	10,160	7,631	907	18,958	1,626	521	91,722	33,375	7,053	691	625	513	1,764	.254	.322	.408	.730
16	Guardians	10,668	2,420	.527	1,276	1,144	81,790	20,466	4,238	354	2,504	10,144	7,821	891	18,234	1,687	494	91,619	32,924	7,096	428	689	422	1,739	.250	.320	.403	.723
17	Angels	10,631	2,424	.487	1,181	1,243	82,000	20,380	3,889	357	2,768	10,135	7,332	931	18,961	1,377	526	91,271	33,287	7,014	392	616	441	1,850	.249	.315	.406	.721
18	Orioles	10,627	2,423	.475	1,150	1,273	82,790	20,741	4,007	276	3,036	10,183	6,691	856	19,733	1,045	379	91,222	34,408	7,319	308	577	291	1,788	.251	.311	.416	.727
19	Reds	10,593	2,425	.478	1,160	1,265	81,803	20,296	3,937	382	2,721	10,108	7,715	1,067	20,101	1,608	588	91,874	33,160	7,040	703	586	460	1,675	.248	.319	.405	.724
20	Phillies	10,580	2,424	.505	1,224	1,200	82,405	20,539	4,002	452	2,613	10,104	7,518	884	19,591	1,482	398	91,937	33,284	7,067	580	550	524	1,658	.249	.317	.404	.721
21	Tigers	10,531	2,420	.484	1,171	1,249	82,617	21,181	4,098	516	2,450	10,095	7,140	739	19,697	1,006	409	91,445	33,661	7,064	308	641	401	1,844	.256	.319	.407	.726
22	Athletics	10,491	2,426	.487	1,181	1,245	81,893	19,834	4,077	370	2,684	9,983	7,878	872	19,399	1,315	394	91,548	32,703	7,131	292	613	278	1,809	.242	.313	.399	.713
23	Mets	10,433	2,425	.501	1,216	1,209	81,962	20,255	4,023	369	2,640	10,013	7,795	1,106	19,338	1,266	423	92,000	32,936	7,032	562	575	521	1,752	.247	.319	.402	.721
24	Giants	10,195	2,425	.515	1,249	1,176	82,337	20,504	4,103	482	2,264	9,711	7,479	798	19,202	1,072	436	91,864	32,363	6,849	585	665	507	1,826	.249	.315	.393	.708
25	Royals	10,124	2,425	.459	1,112	1,313	82,617	21,197	4,114	508	2,159	9,645	6,277	786	17,353	1,901	589	90,811	32,804	6,781	449	682	322	1,798	.257	.313	.397	.710