Since 1981, Mariano Rivera has the most saves, with 652 saves.

Interpreted as:

most regular-season saves by a player since 1981

	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	Mariano Rivera M. Rivera	652	1,115	82	60	.577	10	2.21	1,173	0	0	1283.2	998	315	340	71	286	46	952	41	5,103	13	8.22	2.01	4.10	0.50	23.0	5.6	1.00	.263	2.38	49	2.76	61	7.00	246.7
2	Trevor Hoffman T. Hoffman	601	1,035	61	75	.449	0	2.87	1,133	0	0	1089.1	846	347	378	100	307	9	856	58	4,388	49	9.36	2.54	3.69	0.83	25.8	7.0	1.06	.263	3.12	71	3.07	73	6.99	143.1
3	Lee Smith L. Smith	478	1,004	69	92	.429	6	3.03	1,234	0	0	1267.2	1,112	427	466	89	472	10	796	95	5,291	47	8.76	3.35	2.61	0.63	23.3	8.9	1.25	.293	3.31	76	2.92	74	7.89	140.5
4	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
5	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
6	Francisco Rodriguez F. Rodriguez	437	948	52	53	.495	0	2.86	1,142	0	0	976.0	738	310	336	98	389	17	677	42	4,011	68	10.53	3.59	2.94	0.90	28.5	9.7	1.15	.271	3.10	69	3.30	79	6.81	97
7	John Franco J. Franco	424	1,119	90	87	.508	0	2.89	975	0	0	1245.2	1,166	400	466	81	495	22	774	78	5,312	54	7.04	3.58	1.97	0.59	18.4	9.3	1.33	.290	3.37	73	3.44	86	8.42	76
8	Billy Wagner B. Wagner	422	853	47	40	.540	0	2.31	1,196	0	0	903.0	601	232	262	82	300	33	703	26	3,600	43	11.92	2.99	3.99	0.82	33.2	8.3	1.00	.261	2.61	54	2.72	63	5.99	159
9	Dennis Eckersley D. Eckersley	387	870	108	107	.502	176	3.65	1,425	32	7	1939.2	1,880	786	850	203	342	41	569	51	7,956	11	6.61	1.59	4.17	0.94	17.9	4.3	1.15	.282	3.94	89	3.28	82	8.72	158.2
10	Joe Nathan J. Nathan	377	787	64	34	.653	29	2.87	976	0	0	923.1	690	294	317	84	344	23	587	31	3,771	47	9.51	3.35	2.84	0.82	25.9	9.1	1.12	.259	3.09	67	3.35	78	6.73	93.6
11	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
12	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
13	Jeff Reardon J. Reardon	359	801	64	68	.485	0	3.24	766	0	0	1001.1	892	361	383	97	302	27	650	47	4,164	16	6.88	2.71	2.54	0.87	18.4	7.3	1.19	.267	3.44	84	3.48	91	8.02	37.5
14	Troy Percival T. Percival	358	703	35	43	.449	1	3.17	781	0	0	708.2	479	250	271	85	306	27	546	25	2,915	32	9.92	3.89	2.55	1.08	26.8	10.5	1.11	.230	3.44	69	3.86	85	6.08	56.9
15	Randy Myers R. Myers	347	728	44	63	.411	12	3.19	884	1	0	884.2	758	314	338	69	396	12	548	43	3,744	32	8.99	4.03	2.23	0.70	23.6	10.6	1.30	.289	3.44	81	3.32	83	7.71	68.8
16	John Wetteland J. Wetteland	330	618	48	45	.516	17	2.93	804	0	0	765.0	616	249	287	73	252	16	523	30	3,145	40	9.46	2.96	3.19	0.86	25.6	8.0	1.13	.272	3.38	70	3.19	75	7.25	90.2
17	Francisco Cordero F. Cordero	329	800	47	53	.470	0	3.38	796	0	0	824.2	751	310	342	64	375	27	575	30	3,551	37	8.69	4.09	2.12	0.70	22.4	10.6	1.37	.300	3.73	75	3.62	81	8.20	76.4
18	Fernando Rodney F. Rodney	327	951	48	71	.403	0	3.80	943	0	0	933.0	817	394	433	73	464	52	590	38	4,064	65	9.10	4.48	2.03	0.70	23.2	11.4	1.37	.294	4.18	91	3.76	90	7.88	43.6
19	Roberto Hernandez R. Hernandez	326	1,010	67	71	.486	3	3.45	945	0	0	1071.1	1,002	411	475	96	462	35	667	53	4,632	50	7.94	3.88	2.05	0.81	20.4	10.0	1.37	.293	3.99	77	3.85	86	8.42	74
20	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
21	Jose Mesa J. Mesa	321	1,022	80	109	.423	95	4.36	1,038	6	2	1548.2	1,629	750	811	151	651	55	633	57	6,804	75	6.03	3.78	1.59	0.88	15.3	9.6	1.47	.301	4.71	100	4.31	99	9.47	9.5
22	Todd Jones T. Jones	319	982	58	63	.479	1	3.97	868	0	0	1072.0	1,072	473	518	93	443	38	619	62	4,650	43	7.29	3.72	1.96	0.78	18.7	9.5	1.41	.305	4.35	89	3.94	90	9.00	55.4
23	Rick Aguilera R. Aguilera	318	732	86	81	.515	89	3.57	1,030	10	0	1291.1	1,233	512	568	138	351	36	557	42	5,391	53	7.18	2.45	2.93	0.96	19.1	6.5	1.23	.285	3.96	86	3.61	87	8.59	74.5
24	Robb Nen R. Nen	314	643	45	42	.517	4	2.98	793	0	0	715.0	607	237	266	51	260	7	549	41	2,983	36	9.98	3.27	3.05	0.64	26.6	8.7	1.21	.297	3.35	72	2.92	69	7.64	108.2
25	Tom Henke T. Henke	311	642	41	42	.494	0	2.67	861	0	0	789.2	607	234	252	64	255	9	548	29	3,194	30	9.81	2.91	3.38	0.73	27.0	8.0	1.09	.271	2.87	64	2.71	66	6.92	123.5