Since 2000, the Boston Red Sox have scored the most runs by a team, with 20,914 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	20,914	4,109	.544	2,234	1,875	142,689	38,322	8,537	661	4,831	19,919	14,423	1,512	30,478	2,187	726	160,350	62,674	14,029	499	1,227	976	3,253	.269	.339	.439	.779
2	Yankees	20,913	4,108	.580	2,380	1,726	140,274	36,653	6,910	508	5,635	20,040	15,236	1,627	30,324	2,544	798	158,890	61,484	13,053	599	1,154	808	3,299	.261	.338	.438	.776
3	Rangers	19,951	4,111	.491	2,018	2,093	141,131	36,737	7,271	670	5,066	19,008	12,786	1,501	30,736	2,522	894	157,293	60,546	13,007	736	1,139	698	2,942	.260	.326	.429	.755
4	Rockies	19,776	4,111	.450	1,852	2,259	140,819	37,444	7,518	1,039	4,513	18,838	12,929	1,263	32,155	2,283	973	157,611	60,579	13,070	1,511	1,089	954	3,081	.266	.331	.430	.761
5	Blue Jays	19,468	4,109	.504	2,071	2,038	140,642	36,345	7,619	586	5,023	18,603	13,191	1,481	29,514	1,982	735	156,999	60,205	13,228	582	1,103	606	3,293	.258	.326	.428	.754
6	Cardinals	19,212	4,107	.550	2,257	1,850	139,527	36,498	7,168	602	4,490	18,286	13,575	1,687	29,292	1,980	840	157,348	58,340	12,260	1,412	1,147	1,115	3,193	.262	.332	.418	.750
7	Guardians	19,150	4,107	.520	2,134	1,973	139,894	36,025	7,492	645	4,454	18,255	13,685	1,608	29,924	2,512	893	157,224	58,169	12,591	844	1,193	790	3,075	.258	.328	.416	.744
8	Dodgers	19,090	4,110	.567	2,332	1,778	139,568	35,918	7,042	704	4,641	18,213	14,133	1,539	30,050	2,399	873	157,624	58,291	12,387	1,279	1,105	1,094	3,052	.257	.330	.418	.748
9	Braves	19,083	4,107	.543	2,228	1,878	140,140	36,305	7,244	620	4,662	18,235	13,744	1,344	31,032	2,039	802	157,621	58,775	12,526	1,362	1,031	1,065	3,150	.259	.329	.419	.748
10	Twins	18,953	4,111	.500	2,054	2,057	140,875	36,559	7,392	781	4,265	17,979	13,125	1,444	30,046	2,175	887	157,274	58,308	12,438	699	1,131	759	3,192	.260	.327	.414	.740
11	Phillies	18,898	4,109	.515	2,115	1,994	140,380	35,746	7,175	811	4,611	18,035	13,894	1,540	31,554	2,654	710	158,042	58,376	12,597	1,210	1,018	1,143	2,832	.255	.326	.416	.742
12	Astros	18,894	4,109	.515	2,116	1,992	139,750	36,028	7,196	632	4,730	18,028	13,217	1,569	29,969	2,347	930	156,786	58,678	12,558	1,152	1,098	828	3,265	.258	.326	.420	.746
13	Angels	18,861	4,110	.512	2,106	2,004	140,122	36,267	6,913	666	4,474	17,961	12,495	1,498	28,957	2,744	1,075	156,079	57,934	12,053	826	1,138	891	3,145	.259	.324	.413	.737
14	Diamondbacks	18,723	4,110	.487	2,002	2,108	140,102	35,602	7,370	1,003	4,384	17,862	13,647	1,370	31,287	2,375	853	157,529	58,130	12,757	1,248	1,162	1,021	2,939	.254	.324	.415	.739
15	Athletics	18,688	4,108	.513	2,106	2,002	139,759	34,888	7,210	589	4,545	17,816	14,179	1,464	30,297	1,954	639	157,052	56,911	12,344	544	1,106	620	3,223	.250	.323	.407	.730
16	Cubs	18,530	4,109	.502	2,061	2,047	139,656	35,404	7,136	734	4,651	17,654	13,459	1,601	32,105	2,122	860	157,058	57,961	12,521	1,329	1,013	960	3,002	.254	.324	.415	.739
17	White Sox	18,498	4,110	.480	1,971	2,139	139,810	35,855	6,781	568	4,757	17,732	11,944	1,556	30,260	2,273	995	155,237	58,043	12,106	889	1,038	554	3,180	.256	.320	.415	.735
18	Orioles	18,420	4,110	.458	1,880	2,228	140,912	36,175	7,106	526	4,749	17,605	11,865	1,442	29,814	2,163	822	155,959	58,580	12,381	669	1,071	606	3,140	.257	.319	.416	.734
19	Brewers	18,386	4,111	.500	2,057	2,053	138,951	34,916	7,028	685	4,725	17,555	13,572	1,710	33,269	2,789	944	156,473	57,489	12,438	1,245	995	931	3,083	.251	.323	.414	.737
20	Tigers	18,343	4,105	.470	1,928	2,177	140,658	36,570	7,004	974	4,249	17,549	12,086	1,271	30,950	1,856	834	155,875	58,269	12,227	739	1,121	681	3,153	.260	.322	.414	.736
21	Reds	18,310	4,112	.473	1,944	2,166	139,332	35,021	6,928	619	4,694	17,475	13,510	1,731	32,552	2,591	972	156,978	57,269	12,241	1,400	1,005	942	2,912	.251	.323	.411	.734
22	Rays	18,308	4,108	.496	2,036	2,072	139,530	35,253	7,057	791	4,378	17,434	13,270	1,608	32,261	3,150	1,139	156,176	57,026	12,226	670	1,098	647	2,817	.253	.322	.409	.731
23	Mariners	18,097	4,110	.502	2,065	2,045	140,090	35,396	6,680	584	4,341	17,227	12,968	1,546	31,025	2,659	947	156,459	56,267	11,605	788	1,067	789	2,946	.253	.321	.402	.722
24	Mets	18,068	4,108	.501	2,059	2,049	139,227	35,130	6,941	664	4,373	17,253	13,458	1,663	30,310	2,494	822	156,685	56,518	11,978	1,298	1,039	1,067	3,049	.252	.323	.406	.729
25	Giants	17,988	4,108	.519	2,133	1,974	139,666	35,583	7,149	869	4,008	17,124	13,242	1,341	29,597	1,835	772	156,742	56,494	12,026	1,326	1,167	1,248	3,192	.255	.323	.404	.727