Since 2004, Kenley Jansen has the most saves, with 475 saves.

Interpreted as:

most regular-season saves by a player since 2004

	NAME	SV	G	W	L	W%	GS	ERA	SO	CG	SHO	IP	H	ER	R	HR	BB	HBP	GF	IBB	TBF	WP	K/9	BB/9	K/BB	HR/9	K%	BB%	WHIP	BABIP	RA	ERA-	FIP	FIP-	H/9	PRAA
1	Kenley Jansen K. Jansen	475	934	54	40	.574	0	2.57	1,278	0	0	927.1	610	265	284	88	282	32	700	20	3,680	21	12.40	2.74	4.53	0.85	34.7	7.7	0.96	.261	2.76	65	2.62	64	5.92	147.2
2	Craig Kimbrel C. Kimbrel	440	851	56	48	.538	0	2.58	1,282	0	0	821.2	492	236	263	75	346	40	656	11	3,306	70	14.04	3.79	3.71	0.82	38.8	10.5	1.02	.267	2.88	63	2.60	64	5.39	131.8
3	Francisco Rodriguez F. Rodriguez	435	884	44	50	.468	0	2.86	1,034	0	0	884.1	685	281	306	86	352	14	650	36	3,656	61	10.52	3.58	2.94	0.88	28.3	9.6	1.17	.276	3.11	69	3.26	79	6.97	89.5
4	Joe Nathan J. Nathan	376	666	40	24	.625	0	2.36	776	0	0	657.0	465	172	183	48	202	15	573	24	2,622	36	10.63	2.77	3.84	0.66	29.6	7.7	1.02	.264	2.51	56	2.67	64	6.37	113.2
5	Mariano Rivera M. Rivera	369	603	39	31	.557	0	1.92	591	0	0	634.0	483	135	146	34	109	31	547	20	2,477	4	8.39	1.55	5.42	0.48	23.9	4.4	0.93	.262	2.07	44	2.58	59	6.86	124.6
6	Jonathan Papelbon J. Papelbon	368	689	41	36	.532	3	2.44	808	0	0	725.2	572	197	226	57	185	34	585	18	2,938	14	10.02	2.29	4.37	0.71	27.5	6.3	1.04	.278	2.80	58	2.80	69	7.09	105.2
7	Aroldis Chapman A. Chapman	367	863	60	47	.561	0	2.52	1,331	0	0	821.1	475	230	255	54	408	33	563	7	3,341	87	14.58	4.47	3.26	0.59	39.8	12.2	1.08	.278	2.79	61	2.36	57	5.20	161.8
8	Fernando Rodney F. Rodney	324	904	46	65	.414	0	3.68	900	0	0	885.1	757	362	398	69	437	51	569	35	3,832	65	9.15	4.44	2.06	0.70	23.5	11.4	1.35	.290	4.05	88	3.75	90	7.70	42.1
9	Huston Street H. Street	324	668	42	34	.553	0	2.95	665	0	0	680.0	542	223	237	70	183	8	525	37	2,718	20	8.80	2.42	3.63	0.93	24.5	6.7	1.07	.263	3.14	71	3.32	81	7.17	61.7
10	Francisco Cordero F. Cordero	304	609	37	40	.481	0	3.31	596	0	0	598.0	539	220	238	45	256	19	495	17	2,554	26	8.97	3.85	2.33	0.68	23.3	10.0	1.33	.302	3.58	76	3.45	80	8.11	59.7
11	Jose Valverde J. Valverde	278	572	25	32	.439	0	3.37	621	0	0	580.0	466	217	239	63	238	24	487	29	2,442	22	9.64	3.69	2.61	0.98	25.4	9.7	1.21	.269	3.71	79	3.72	87	7.23	37.1
12	Mark Melancon M. Melancon	262	732	37	40	.481	0	2.94	643	0	0	726.2	657	237	276	44	192	25	454	23	2,981	44	7.96	2.38	3.35	0.54	21.6	6.4	1.17	.295	3.42	73	3.03	76	8.14	75.9
13	Edwin Díaz E. Díaz	253	520	28	36	.438	0	2.82	839	0	0	519.1	356	163	176	54	182	40	395	9	2,105	33	14.54	3.15	4.61	0.94	39.9	8.6	1.04	.305	3.05	70	2.55	61	6.17	93.4
14	Raisel Iglesias R. Iglesias	253	600	42	55	.433	21	2.92	869	0	0	736.0	570	239	265	83	202	27	459	17	2,962	17	10.63	2.47	4.30	1.01	29.3	6.8	1.05	.273	3.24	69	3.19	76	6.97	82.7
15	Trevor Hoffman T. Hoffman	249	394	16	31	.340	0	3.04	325	0	0	379.1	313	128	135	34	90	3	329	15	1,527	9	7.71	2.14	3.61	0.81	21.3	5.9	1.06	.260	3.20	76	3.29	78	7.43	40.2
16	Joakim Soria J. Soria	229	773	36	45	.444	1	3.11	831	0	0	763.0	633	264	279	67	231	27	427	18	3,146	33	9.80	2.72	3.60	0.79	26.4	7.3	1.13	.284	3.29	73	3.11	74	7.47	92.7
17	Josh Hader J. Hader	226	468	34	31	.523	0	2.64	829	0	0	512.1	282	150	164	65	198	24	321	6	2,019	19	14.56	3.48	4.19	1.14	41.1	9.8	0.94	.240	2.88	64	2.88	69	4.95	75.7
18	Brad Lidge B. Lidge	224	519	19	29	.396	0	3.48	690	0	0	509.2	420	197	215	51	236	27	357	33	2,192	42	12.18	4.17	2.92	0.90	31.5	10.8	1.29	.311	3.80	81	3.24	75	7.42	62.5
19	Greg Holland G. Holland	220	556	30	28	.517	0	3.14	677	0	0	547.2	417	191	211	43	241	7	355	20	2,271	50	11.13	3.96	2.81	0.71	29.8	10.6	1.20	.287	3.47	74	3.02	73	6.85	66.2
20	Rafael Soriano R. Soriano	205	541	21	25	.457	0	2.87	541	0	0	536.0	414	171	179	52	169	12	330	18	2,168	11	9.08	2.84	3.20	0.87	25.0	7.8	1.09	.260	3.01	71	3.36	82	6.95	46.2
21	Brian Fuentes B. Fuentes	200	534	20	39	.339	0	3.67	509	0	0	499.2	420	204	223	51	203	40	346	23	2,137	28	9.17	3.66	2.51	0.92	23.8	9.5	1.25	.277	4.02	83	3.84	88	7.57	30.3
22	Billy Wagner B. Wagner	197	389	21	11	.656	0	2.03	502	0	0	398.2	268	90	113	34	109	15	324	11	1,573	15	11.33	2.46	4.61	0.77	31.9	6.9	0.95	.256	2.55	48	2.63	60	6.05	75.6
23	J.J. Putz	189	569	37	33	.529	0	3.07	596	0	0	563.0	465	192	201	50	181	19	357	18	2,311	24	9.53	2.89	3.29	0.80	25.8	7.8	1.15	.283	3.21	73	3.19	76	7.43	63
24	Emmanuel Clase E. Clase	182	366	21	25	.457	1	1.88	349	0	0	360.0	267	75	111	15	70	9	297	10	1,417	19	8.73	1.75	4.99	0.38	24.6	4.9	0.94	.259	2.78	45	2.43	58	6.68	68.8
25	David Robertson D. Robertson	179	881	68	46	.596	1	2.93	1,176	0	0	894.1	674	291	315	81	365	25	358	38	3,690	57	11.83	3.67	3.22	0.82	31.9	9.9	1.16	.290	3.17	70	2.98	70	6.78	122.3