LeBron James has the most games with 1.0+ assist per game, with 1,562 games.

Interpreted as:

most assists per game all-time 1 or higher regular-season game by a player

	NAME	GP	APG	MPG	PPG	RPG	SPG	BPG	FGM	FGA	FG%	3PM	3PA	3P%	FTM	FTA	FT%	TS%	OREB	DREB	TPG	MIN	PTS	REB	AST	STL	BLK	TOV	PF	+/-
1	LeBron James L. James	1,562	7.4	37.8	27.0	7.5	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	59,041	42,184	11,731	11,584	2,345	1,150	5,471	2,781	+7389
2	Vince Carter V. Carter	1,541	3.1	30.1	16.7	4.3	1.0	0.6	6.0	13.8	43.5	1.5	4.0	37.1	3.1	3.9	79.8	53.6	1.1	3.2	1.7	46,369	25,728	6,606	4,714	1,530	888	2,590	3,995	+1817
3	Dirk Nowitzki D. Nowitzki	1,522	2.4	33.8	20.7	7.5	0.8	0.8	7.3	15.6	47.1	1.3	3.4	38.0	4.8	5.4	87.9	57.7	1.0	6.6	1.6	51,369	31,560	11,489	3,651	1,210	1,281	2,494	3,601	+6541
4	John Stockton J. Stockton	1,504	10.5	31.8	13.1	2.7	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	15,806	3,265	315	4,245	3,941	+2941
5	Karl Malone K. Malone	1,476	3.6	37.2	25.0	10.1	1.4	0.8	9.2	17.8	51.6	0.1	0.2	27.4	6.6	8.9	74.2	57.7	2.4	7.7	3.1	54,854	36,928	14,968	5,248	2,087	1,145	4,524	4,577	+3010
6	Kevin Garnett K. Garnett	1,462	3.7	34.5	17.8	10.0	1.3	1.4	7.2	14.5	49.7	0.1	0.4	27.5	3.3	4.2	78.9	54.6	2.2	7.8	2.2	50,418	26,071	14,662	5,445	1,859	2,037	3,179	3,561	+4913
7	Jason Terry J. Terry	1,410	3.8	29.8	13.4	2.3	1.1	0.2	4.9	11.1	44.4	1.6	4.3	38.0	2.0	2.3	84.5	55.4	0.4	2.0	1.7	42,033	18,881	3,274	5,415	1,603	275	2,415	2,577	+1718
8	Tim Duncan T. Duncan	1,392	3.0	34.0	19.0	10.8	0.7	2.2	7.4	14.6	50.6	0.0	0.1	17.9	4.2	6.1	69.6	55.1	2.8	8.1	2.4	47,369	26,496	15,091	4,225	1,025	3,020	3,381	3,304	+8910
9	Jason Kidd J. Kidd	1,391	8.7	36.0	12.6	6.3	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	50,110	17,529	8,725	12,091	2,684	450	4,003	2,572	+3868
10	Reggie Miller R. Miller	1,389	3.0	34.3	18.2	3.0	1.1	0.2	5.9	12.6	47.1	1.8	4.7	39.5	4.5	5.1	88.8	61.4	0.6	2.4	1.7	47,619	25,279	4,182	4,141	1,505	299	2,409	2,730	+2015
11	Clifford Robinson C. Robinson	1,380	2.2	30.8	14.2	4.6	1.0	1.0	5.4	12.2	43.8	0.9	2.5	35.6	2.6	3.7	68.9	51.2	1.3	3.2	1.8	42,561	19,591	6,306	3,094	1,402	1,390	2,502	4,175	+704
12	Chris Paul C. Paul	1,354	9.2	33.7	17.0	4.4	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	45,606	23,011	5,978	12,499	2,717	222	3,093	3,185	+6113
13	Kobe Bryant K. Bryant	1,346	4.7	36.1	25.0	5.2	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	48,638	33,643	7,047	6,306	1,944	640	4,010	3,353	+4153
14	Paul Pierce P. Pierce	1,343	3.5	34.2	19.7	5.6	1.3	0.6	6.5	14.5	44.5	1.6	4.3	36.8	5.2	6.4	80.6	56.8	0.8	4.8	2.6	45,880	26,397	7,527	4,708	1,752	745	3,532	3,643	+3345
15	Gary Payton G. Payton	1,335	6.7	35.3	16.3	3.9	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	47,116	21,813	5,269	8,966	2,445	285	3,030	3,217	+1928
16	Jamal Crawford J. Crawford	1,327	3.4	29.4	14.6	2.2	0.9	0.2	5.1	12.4	41.0	1.7	4.8	34.8	2.8	3.2	86.2	52.9	0.4	1.9	1.9	38,994	19,419	2,948	4,541	1,179	271	2,476	2,008	-1252
17	Andre Miller A. Miller	1,304	6.5	30.9	12.5	3.7	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	8,524	1,546	227	3,121	2,882	+810
18	Ray Allen R. Allen	1,300	3.4	35.6	18.9	4.1	1.1	0.2	6.6	14.6	45.2	2.3	5.7	40.0	3.4	3.8	89.4	58.0	0.9	3.1	2.1	46,344	24,505	5,272	4,361	1,451	244	2,709	2,858	+3491
19	Mark Jackson M. Jackson	1,296	8.0	30.2	9.6	3.8	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	10,334	1,608	117	3,155	2,230	+402
20	Derek Fisher D. Fisher	1,287	3.0	25.4	8.3	2.1	1.1	0.1	2.9	7.2	39.9	1.0	2.6	37.4	1.6	1.9	81.7	51.4	0.3	1.7	1.1	32,719	10,713	2,658	3,804	1,352	98	1,473	2,684	+4164
21	Sam Perkins S. Perkins	1,286	1.5	28.5	11.9	6.0	0.9	0.7	4.3	9.3	45.9	0.7	1.8	36.2	2.7	3.3	81.1	55.2	1.8	4.2	1.2	36,598	15,324	7,666	1,976	1,105	932	1,582	3,167	+1069
22	Charles Oakley C. Oakley	1,282	2.5	31.4	9.7	9.5	1.1	0.3	3.8	8.0	47.1	0.1	0.2	25.3	2.1	2.7	76.1	52.6	3.1	6.5	2.2	40,280	12,417	12,206	3,217	1,352	384	2,781	4,420	+171
23	A.C. Green	1,278	1.1	28.6	9.6	7.4	0.8	0.4	3.6	7.2	49.4	0.1	0.4	25.4	2.4	3.3	73.4	55.7	2.6	4.8	1.1	36,552	12,331	9,473	1,400	1,033	546	1,433	2,436	-378
24	Joe Johnson J. Johnson	1,277	3.9	34.6	16.0	4.0	0.8	0.2	6.1	13.9	44.1	1.5	4.2	37.1	2.2	2.7	80.2	53.0	0.8	3.1	1.9	44,236	20,407	5,059	5,001	1,071	260	2,451	2,252	+828
25	Terry Porter T. Porter	1,274	5.6	27.8	12.2	3.0	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	7,160	1,583	181	2,666	2,203	+1405