John Stockton has the most career assists + steals, with 19,071.

Interpreted as:

most assists plus steals by a player in NBA history

	NAME	AST+STL	AST	STL	GP	MPG	PPG	RPG	APG	SPG	BPG	FGM	FGA	FG%	3PM	3PA	3P%	FTM	FTA	FT%	TS%	OREB	DREB	TPG	MIN	PTS	REB	BLK	TOV	PF	+/-
1	John Stockton J. Stockton	19,071	15,806	3,265	1,504	31.8	13.1	2.7	10.5	2.2	0.2	4.7	9.1	51.5	0.6	1.5	38.4	3.2	3.9	82.6	60.8	0.6	2.1	2.8	47,764	19,711	4,051	315	4,244	3,942	+2941
2	Chris Paul C. Paul	15,179	12,468	2,711	1,348	33.7	17.0	4.4	9.2	2.0	0.2	6.0	12.8	47.0	1.4	3.7	37.0	3.6	4.1	87.1	58.1	0.6	3.8	2.3	45,447	22,958	5,957	219	3,082	3,171	+6126
3	Jason Kidd J. Kidd	14,775	12,091	2,684	1,391	36.0	12.6	6.3	8.7	1.9	0.3	4.5	11.2	40.0	1.4	4.1	34.9	2.2	2.8	78.5	50.7	1.3	5.0	2.9	50,111	17,529	8,725	450	4,003	2,572	+3868
4	LeBron James L. James	13,884	11,546	2,338	1,556	37.8	27.0	7.5	7.4	1.5	0.7	9.9	19.6	50.6	1.6	4.7	34.9	5.5	7.5	73.7	59.0	1.2	6.4	3.5	58,842	42,036	11,705	1,149	5,455	2,774	+7376
5	Mark Jackson M. Jackson	11,942	10,334	1,608	1,296	30.2	9.6	3.8	8.0	1.2	0.1	3.7	8.3	44.7	0.6	1.7	33.2	1.7	2.2	77.0	52.2	1.0	2.8	2.4	39,121	12,489	4,963	117	3,155	2,230	+402
6	Magic Johnson M. Johnson	11,865	10,141	1,724	906	36.7	19.5	7.2	11.2	1.9	0.4	6.9	13.2	52.0	0.4	1.2	30.3	5.5	6.5	84.8	61.0	1.8	5.5	3.9	33,245	17,707	6,559	374	3,506	2,050
7	Russell Westbrook R. Westbrook	11,856	9,905	1,951	1,232	33.3	21.2	7.0	8.0	1.6	0.3	7.6	17.4	43.9	1.1	3.6	30.6	4.8	6.3	77.2	52.6	1.6	5.4	3.9	41,062	26,148	8,661	405	4,818	3,149	+3047
8	Gary Payton G. Payton	11,411	8,966	2,445	1,335	35.3	16.3	3.9	6.7	1.8	0.2	6.5	14.0	46.6	0.8	2.7	31.7	2.4	3.4	72.9	52.8	1.0	2.9	2.3	47,117	21,813	5,269	285	3,030	3,217	+1928
9	Steve Nash S. Nash	11,234	10,335	899	1,217	31.3	14.3	3.0	8.5	0.7	0.1	5.2	10.6	49.0	1.4	3.2	42.8	2.5	2.8	90.4	60.5	0.5	2.5	2.9	38,069	17,387	3,642	102	3,478	1,982	+5043
10	Isiah Thomas I. Thomas	10,922	9,061	1,861	979	36.3	19.2	3.6	9.3	1.9	0.3	7.3	16.2	45.2	0.4	1.4	29.0	4.1	5.4	75.9	51.6	1.0	2.6	3.8	35,516	18,822	3,478	249	3,682	2,971
11	Andre Miller A. Miller	10,070	8,524	1,546	1,304	30.9	12.5	3.7	6.5	1.2	0.2	4.6	10.0	46.1	0.1	0.7	21.7	3.1	3.8	80.7	53.2	1.1	2.6	2.4	40,268	16,278	4,795	227	3,121	2,882	+810
12	James Harden J. Harden	9,961	8,255	1,706	1,145	34.7	24.0	5.6	7.2	1.5	0.6	7.1	16.2	43.9	2.8	7.6	36.3	7.1	8.2	86.1	60.7	0.8	4.9	3.7	39,784	27,527	6,432	652	4,237	2,845	+4540
13	Maurice Cheeks M. Cheeks	9,702	7,392	2,310	1,101	31.6	11.1	2.8	6.7	2.1	0.3	4.5	8.5	52.3	0.1	0.2	25.5	2.1	2.7	79.3	57.2	0.6	2.2	2.1	34,845	12,195	3,088	294	2,268	2,258
14	Rod Strickland R. Strickland	9,603	7,987	1,616	1,094	30.7	13.2	3.7	7.3	1.5	0.2	5.0	10.9	45.4	0.2	0.6	28.2	3.1	4.4	72.1	51.6	1.1	2.7	2.6	33,634	14,463	4,084	215	2,862	2,048	-270
15	Rajon Rondo R. Rondo	9,102	7,584	1,518	957	29.9	9.8	4.5	7.9	1.6	0.1	4.1	8.9	45.6	0.5	1.4	32.4	1.2	1.9	61.1	50.1	1.0	3.6	2.7	28,570	9,337	4,349	125	2,586	1,997	+1331
16	Terry Porter T. Porter	8,743	7,160	1,583	1,274	27.8	12.2	3.0	5.6	1.2	0.1	4.3	9.2	46.3	1.0	2.6	38.6	2.7	3.2	83.6	57.6	0.6	2.5	2.1	35,354	15,586	3,872	181	2,666	2,203	+1405
17	Kyle Lowry K. Lowry	8,597	7,098	1,499	1,172	31.3	14.0	4.2	6.1	1.3	0.3	4.5	10.6	42.3	1.9	5.1	36.8	3.1	3.8	81.5	56.9	0.8	3.5	2.2	36,660	16,351	4,960	351	2,628	3,160	+2841
18	Derek Harper D. Harper	8,534	6,577	1,957	1,199	31.5	13.3	2.4	5.5	1.6	0.3	5.2	11.2	46.3	0.9	2.5	35.4	2.1	2.9	74.5	53.7	0.6	1.8	1.9	37,786	16,006	2,884	304	2,334	2,755	-353
19	Tim Hardaway T. Hardaway	8,523	7,095	1,428	867	35.3	17.7	3.3	8.2	1.6	0.1	6.5	15.1	43.1	1.8	5.0	35.5	2.9	3.8	78.2	53.0	0.6	2.7	2.9	30,626	15,373	2,855	129	2,481	2,027	+1691
20	Scottie Pippen S. Pippen	8,442	6,135	2,307	1,178	34.9	16.1	6.4	5.2	2.0	0.8	6.3	13.3	47.3	0.8	2.5	32.6	2.7	3.8	70.4	53.6	1.8	4.6	2.8	41,069	18,940	7,494	947	3,257	3,329	+2022
21	Clyde Drexler C. Drexler	8,332	6,125	2,207	1,086	34.6	20.4	6.1	5.6	2.0	0.7	7.7	16.3	47.2	0.8	2.4	31.8	4.3	5.5	78.8	54.7	2.4	3.7	2.7	37,537	22,195	6,677	719	2,977	3,285	+434
22	Kobe Bryant K. Bryant	8,250	6,306	1,944	1,346	36.1	25.0	5.2	4.7	1.4	0.5	8.7	19.5	44.7	1.4	4.1	32.9	6.2	7.4	83.7	55.0	1.1	4.1	3.0	48,637	33,643	7,047	640	4,010	3,353	+4153
23	Mike Conley M. Conley	8,198	6,597	1,601	1,166	31.3	14.1	2.9	5.7	1.4	0.2	5.0	11.3	43.8	1.7	4.2	38.9	2.5	3.1	82.5	55.7	0.5	2.5	1.9	36,463	16,441	3,437	241	2,174	2,261	+2665
24	Michael Jordan M. Jordan	8,147	5,633	2,514	1,072	38.3	30.1	6.2	5.3	2.3	0.8	11.4	22.9	49.7	0.5	1.7	32.7	6.8	8.2	83.5	56.9	1.6	4.7	2.7	41,011	32,292	6,672	893	2,924	2,783	+1438
25	Muggsy Bogues M. Bogues	8,095	6,726	1,369	889	28.6	7.7	2.6	7.6	1.5	0.0	3.2	7.0	45.8	0.1	0.4	27.8	1.2	1.4	82.7	50.6	0.6	2.0	1.6	25,429	6,858	2,318	39	1,433	1,582	-40