Jesse Orosco had the most games pitched when allowing 3 or fewer runs, with 1,232 games.

Interpreted as:

most regular-season games 3 runs or under by pitcher

	NAME	G	R	W	L	W%	GS	ERA	SO	CG	SHO	SV	IP	H	ER	HR	BB	HBP	GF	IBB	TBF	WP	K/9	BB/9	K/BB	HR/9	K%	BB%	WHIP	BABIP	RA	H/9
1	Jesse Orosco J. Orosco	1,232	417	87	67	.565	2	2.68	1,162	0	0	144	1264.1	968	376	104	551	33	496	81	5,243	38	8.27	3.92	2.11	0.74	22.2	10.5	1.20	.255	2.97	6.89
2	Mike Stanton M. Stanton	1,162	454	68	57	.544	1	3.45	891	0	0	84	1105.1	1,028	424	86	403	32	362	69	4,657	33	7.25	3.28	2.21	0.70	19.1	8.7	1.29	.290	3.70	8.37
3	Mariano Rivera M. Rivera	1,102	277	82	51	.617	5	1.85	1,152	0	0	652	1258.2	933	259	61	266	45	948	39	4,943	13	8.24	1.90	4.33	0.44	23.3	5.4	0.95	.255	1.98	6.67
4	John Franco J. Franco	1,101	391	90	74	.549	0	2.44	956	0	0	424	1225.2	1,091	332	73	471	22	770	72	5,150	54	7.02	3.46	2.03	0.54	18.6	9.1	1.27	.281	2.87	8.01
5	Dan Plesac D. Plesac	1,046	395	65	65	.500	9	3.09	1,006	0	0	158	1032.1	888	355	94	369	16	421	46	4,296	37	8.77	3.22	2.73	0.82	23.4	8.6	1.22	.282	3.44	7.74
6	Hoyt Wilhelm H. Wilhelm	1,036	612	140	109	.562	37	2.10	1,529	18	5	228	2124.0	1,552	496	115	720	58	646	61	8,528	84	6.48	3.05	2.12	0.49	17.9	8.4	1.07	.235	2.59	6.58
7	Kent Tekulve K. Tekulve	1,035	457	94	84	.528	0	2.51	771	0	0	184	1414.0	1,241	395	57	468	16	630	174	5,841	21	4.91	2.98	1.65	0.36	13.2	8.0	1.21	.261	2.91	7.90
8	Mike Timlin M. Timlin	1,031	417	75	65	.536	3	2.97	846	0	0	140	1171.0	1,059	387	106	345	46	460	65	4,836	30	6.50	2.65	2.45	0.81	17.5	7.1	1.20	.273	3.20	8.14
9	Trevor Hoffman T. Hoffman	1,019	311	61	63	.492	0	2.39	1,122	0	0	601	1076.1	786	286	90	297	6	849	54	4,273	47	9.38	2.48	3.78	0.75	26.3	7.0	1.01	.252	2.60	6.57
10	Lee Smith L. Smith	1,008	415	71	83	.461	4	2.68	1,235	0	0	477	1267.1	1,076	378	81	464	9	797	97	5,242	47	8.77	3.30	2.66	0.58	23.6	8.9	1.22	.288	2.95	7.64
11	Roberto Hernandez R. Hernandez	994	401	67	60	.528	2	3.02	935	0	0	326	1056.2	947	354	89	437	34	662	47	4,498	49	7.96	3.72	2.14	0.76	20.8	9.7	1.31	.286	3.42	8.07
12	Michael Jackson M. Jackson	980	379	62	56	.525	2	2.69	979	0	0	142	1149.1	887	344	109	410	55	418	73	4,699	36	7.67	3.21	2.39	0.85	20.8	8.7	1.13	.247	2.97	6.95
13	LaTroy Hawkins L. Hawkins	969	396	67	52	.563	39	2.76	812	2	0	127	1177.2	1,094	361	89	327	15	368	32	4,839	47	6.21	2.50	2.48	0.68	16.8	6.8	1.21	.279	3.03	8.36
14	Rich Gossage R. Gossage	961	469	124	81	.605	20	2.28	1,407	13	0	310	1670.2	1,259	423	90	638	44	670	81	6,772	55	7.58	3.44	2.21	0.48	20.8	9.4	1.14	.255	2.53	6.78
15	Todd Jones T. Jones	958	409	58	48	.547	0	3.30	857	0	0	319	1049.1	973	385	80	415	37	613	56	4,448	42	7.35	3.56	2.07	0.69	19.3	9.3	1.32	.292	3.51	8.35
16	Jose Mesa J. Mesa	951	461	74	67	.525	51	2.95	906	5	2	321	1299.1	1,202	426	96	502	39	625	48	5,494	61	6.28	3.48	1.80	0.66	16.5	9.1	1.31	.280	3.19	8.33
17	Francisco Rodriguez F. Rodriguez	940	300	52	46	.531	0	2.56	1,133	0	0	437	969.0	715	276	92	375	15	673	39	3,951	68	10.52	3.48	3.02	0.85	28.7	9.5	1.12	.267	2.79	6.64
18	Fernando Rodney F. Rodney	936	369	47	65	.420	0	3.29	934	0	0	327	926.2	770	339	68	443	50	586	36	3,971	64	9.07	4.30	2.11	0.66	23.5	11.2	1.31	.284	3.58	7.48
19	Dennis Eckersley D. Eckersley	919	607	174	73	.704	220	2.12	1,870	84	20	390	2435.0	1,889	574	175	464	52	573	51	9,541	23	6.91	1.71	4.03	0.65	19.6	4.9	0.97	.246	2.24	6.98
20	David Weathers D. Weathers	915	459	71	61	.538	37	3.06	873	0	0	75	1220.0	1,136	415	104	496	46	303	69	5,202	34	6.44	3.66	1.76	0.77	16.8	9.5	1.34	.280	3.39	8.38
21	Lindy McDaniel L. McDaniel	915	601	136	88	.607	40	2.54	1,240	16	2	174	1899.0	1,677	535	111	506	13	566	116	7,700	95	5.88	2.40	2.45	0.53	16.1	6.6	1.15	.269	2.85	7.95
22	Rollie Fingers R. Fingers	913	472	113	101	.528	22	2.42	1,248	4	2	341	1607.1	1,314	432	103	444	31	704	101	6,448	37	6.99	2.49	2.81	0.58	19.4	6.9	1.09	.262	2.64	7.36
23	Gene Garber G. Garber	900	507	95	96	.497	6	2.76	905	3	0	218	1438.0	1,307	441	97	409	32	601	146	5,914	24	5.66	2.56	2.21	0.61	15.3	6.9	1.19	.271	3.17	8.18
24	Kenley Jansen K. Jansen	882	239	49	34	.590	0	2.26	1,229	0	0	457	880.1	559	221	79	259	31	668	18	3,463	21	12.56	2.65	4.75	0.81	35.5	7.5	0.93	.257	2.44	5.71
25	Sparky Lyle S. Lyle	882	445	99	71	.582	0	2.50	856	0	0	238	1357.2	1,216	377	75	463	12	631	77	5,598	68	5.67	3.07	1.85	0.50	15.3	8.3	1.24	.272	2.95	8.06