Kenny Lofton has the most career stolen bases in the postseason when scoring >0 runs, with 34 steals.

Interpreted as:

most playoff steals in a run by a player

	NAME	SB	R	G	AB	H	2B	3B	HR	RBI	BB	HBP	SO	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Kenny Lofton K. Lofton	34	65	95	392	97	12	4	7	34	38	2	68	6	438	138	23	3	3	3	4	.247	.315	.352	.667
2	Rickey Henderson R. Henderson	33	47	60	222	63	12	4	5	20	37	2	32	6	262	98	21	0	1	0	1	.284	.389	.441	.831
3	Omar Vizquel O. Vizquel	23	28	57	228	57	7	4	0	20	25	2	36	3	264	72	11	7	2	0	0	.250	.327	.316	.643
4	Roberto Alomar R. Alomar	20	32	58	230	72	16	1	4	33	27	0	32	2	263	102	21	3	3	3	9	.313	.381	.443	.824
5	Davey Lopes D. Lopes	20	29	50	181	43	3	3	6	22	25	0	23	3	208	70	12	2	0	1	2	.238	.330	.387	.717
6	Derek Jeter D. Jeter	18	111	158	650	200	32	5	20	61	66	5	135	5	734	302	57	9	4	3	14	.308	.374	.465	.838
7	Mookie Betts M. Betts	16	54	74	293	76	22	0	8	34	40	1	54	1	339	122	30	0	5	7	4	.259	.345	.416	.762
8	Joe Morgan J. Morgan	15	26	50	181	33	9	3	5	13	38	0	19	4	222	63	17	2	1	4	2	.182	.323	.348	.671
9	Cody Bellinger C. Bellinger	14	29	69	242	51	7	3	9	33	25	0	87	1	267	91	19	0	0	3	1	.211	.285	.376	.661
10	Lou Brock L. Brock	14	16	21	87	34	7	2	4	13	5	0	10	2	92	57	13	0	0	0	0	.391	.424	.655	1.079
11	Eddie Collins E. Collins	14	20	34	128	42	7	2	0	11	10	1	10	3	147	53	9	6		0	0	.328	.381	.414	.795
12	Johnny Damon J. Damon	13	39	59	261	72	12	2	10	33	17	1	40	1	279	118	24	0	0	0	5	.276	.323	.452	.775
13	Rafael Furcal R. Furcal	13	33	59	247	56	5	5	4	16	27	2	34	2	285	83	14	7	2	1	2	.227	.306	.336	.642
14	Ron Gant R. Gant	13	29	52	189	43	7	1	8	28	15	3	37	1	210	76	16	1	2	0	5	.228	.292	.402	.694
15	Vince Coleman V. Coleman	13	16	28	111	22	3	1	1	8	10	0	28	3	121	30	5	0	0	0	2	.198	.264	.270	.535
16	Willie Wilson W. Wilson	13	12	38	150	40	4	2	1	10	9	0	32	3	160	51	7	1	0	0	2	.267	.308	.340	.648
17	Trea Turner T. Turner	12	34	60	249	64	14	0	6	13	17	1	63	1	269	96	20	0	2	1	2	.257	.305	.386	.690
18	Marquis Grissom M. Grissom	12	34	52	218	69	7	3	5	20	12	1	42	4	231	97	15	0	0	0	2	.317	.355	.445	.800
19	Jacoby Ellsbury J. Ellsbury	11	27	45	143	40	11	2	0	17	15	0	27	2	160	55	13	0	1	2	4	.280	.346	.385	.731
20	Jimmy Rollins J. Rollins	11	27	50	195	48	12	1	3	15	16	2	36	4	215	71	16	1	1	0	6	.246	.308	.364	.673
21	Chase Utley C. Utley	11	41	68	210	47	7	1	10	27	39	8	52	2	258	86	18	0	1	3	4	.224	.364	.410	.774
22	Carlos Beltran C. Beltran	11	45	65	215	66	15	1	16	42	37	2	33	0	256	131	32	1	1	2	3	.307	.412	.609	1.021
23	Otis Nixon O. Nixon	11	13	24	81	26	5	0	0	7	10	0	13	4	93	31	5	2	0	1	0	.321	.396	.383	.778
24	Chuck Knoblauch C. Knoblauch	11	31	66	244	63	10	0	2	20	27	4	31	4	282	79	12	5	2	0	2	.258	.339	.324	.663
25	Carl Crawford C. Crawford	10	21	39	154	40	5	1	7	16	6	1	33	0	161	68	13	0	0	0	4	.260	.292	.442	.733