Dennis Rodman had the most games with 20+ rebounds and when he had 20 or more (PTS+20), with 158 games.

Interpreted as:

most 20 or more pts + 20 reb regular-season games by a player in career

	NAME	GP	REB	PTS	PTS+20	MPG	PPG	RPG	APG	SPG	BPG	FGM	FGA	FG%	3PM	3PA	3P%	FTM	FTA	FT%	TS%	OREB	DREB	TPG	MIN	AST	STL	BLK	TOV	PF	+/-
1	Dennis Rodman D. Rodman	158	3,568	1,270	1,290	40.6	8.0	22.6	2.5	0.7	0.7	3.3	6.8	47.7	0.2	0.7	30.8	1.3	2.3	56.1	51.2	7.7	14.8	2.1	6,412	398	117	113	334	504	+249
2	Andre Drummond A. Drummond	91	1,995	1,809	1,829	37.4	19.9	21.9	2.1	1.6	2.0	8.3	15.0	55.2	0.0	0.2	4.8	3.3	6.3	53.1	56.0	7.4	14.6	2.4	3,400	187	144	179	217	292	+356
3	Dwight Howard D. Howard	82	1,785	1,745	1,765	39.1	21.3	21.8	1.7	1.1	2.6	7.5	13.1	57.1	0.0	0.1	8.3	6.3	11.3	56.3	59.1	6.1	15.7	3.4	3,210	140	94	213	278	256	+628
4	DeAndre Jordan D. Jordan	60	1,274	843	863	36.0	14.1	21.2	1.7	0.8	2.0	5.4	8.3	65.2	0.0	0.0	0.0	3.3	7.3	44.8	61.2	6.4	14.9	1.7	2,161	103	45	117	100	158	+393
5	Charles Barkley C. Barkley	54	1,189	1,414	1,434	42.5	26.2	22.0	4.4	1.9	1.3	9.2	16.2	56.8	0.5	1.9	27.5	7.3	9.7	74.5	63.9	7.6	14.4	4.3	2,295	239	100	69	233	177	+87
6	Dikembe Mutombo D. Mutombo	52	1,143	712	732	41.8	13.7	22.0	1.4	0.5	4.2	4.5	8.7	52.1	0.0	0.0	0.0	4.6	6.6	70.0	58.9	6.7	15.3	2.8	2,173	74	27	217	145	151	+111
7	Hakeem Olajuwon H. Olajuwon	48	1,019	1,290	1,310	40.9	26.9	21.2	2.6	2.4	4.2	10.6	20.6	51.3	0.0	0.1	0.0	5.8	8.5	67.5	55.2	6.5	14.8	3.7	1,964	125	114	203	178	190	+35
8	Marcus Camby M. Camby	44	946	524	544	38.0	11.9	21.5	3.0	1.1	3.3	4.8	10.7	45.3	0.0	0.2	11.1	2.2	3.3	66.4	49.0	5.4	16.1	1.9	1,673	134	50	145	83	123	+241
9	Ben Wallace B. Wallace	42	912	385	405	40.6	9.2	21.7	2.0	1.2	3.3	3.8	7.4	51.1	0.0	0.1	40.0	1.6	3.8	41.9	50.7	6.6	15.1	1.3	1,705	82	50	138	56	93	+334
10	Kevin Willis K. Willis	37	810	840	860	41.5	22.7	21.9	1.7	1.0	0.9	9.1	18.6	48.7	0.2	0.5	36.8	4.4	5.8	75.5	53.6	7.6	14.2	2.7	1,535	64	38	33	99	114	+14
11	Moses Malone M. Malone	37	804	1,041	1,061	39.9	28.1	21.7	1.6		2.0	9.2	20.2	45.3	0.0	0.1	0.0	9.8	12.4	78.9	54.8	8.9	12.8		1,477	58		74		97
12	Kevin Garnett K. Garnett	36	772	859	879	41.8	23.9	21.4	5.4	1.1	2.0	9.2	19.4	47.4	0.3	0.8	31.0	5.2	6.3	81.6	53.7	4.9	16.6	2.8	1,504	195	39	71	102	104	+159
13	Shaquille O'Neal S. O'Neal	35	760	1,096	1,116	42.5	31.3	21.7	2.6	0.4	3.7	12.4	20.8	59.8	0.0	0.0	0.0	6.5	11.7	55.3	60.4	7.2	14.5	3.4	1,489	90	14	129	118	116	+160
14	Rudy Gobert R. Gobert	34	728	590	610	34.6	17.4	21.4	1.3	0.8	2.0	6.1	9.7	63.3	0.0	0.1	0.0	5.1	7.1	71.1	67.6	6.2	15.2	1.8	1,177	45	27	69	61	95	+384
15	Tyson Chandler T. Chandler	31	673	422	442	37.2	13.6	21.7	1.2	0.6	1.8	5.4	9.7	55.7	0.0	0.0	0.0	2.8	4.6	61.5	58.1	8.3	13.4	1.7	1,154	37	19	55	52	79	+244
16	Bill Laimbeer B. Laimbeer	30	641	605	625	39.5	20.2	21.4	2.2			7.9	15.8	49.8	0.3	0.9	34.6	4.1	5.0	83.2	56.1	6.0	15.4		1,186	67				111
17	Hassan Whiteside H. Whiteside	29	628	562	582	34.1	19.4	21.7	0.7	0.7	3.2	8.1	13.0	62.2	0.1	0.1	50.0	3.1	5.0	61.6	63.5	6.5	15.2	2.5	989	21	20	92	72	79	+166
18	Buck Williams B. Williams	27	572	550	570	43.4	20.4	21.2	2.0		1.5	7.7	14.0	55.1	0.0	0.0		4.9	7.2	67.7	59.2	6.6	14.6		1,171	54		41		99
19	Domantas Sabonis D. Sabonis	26	570	528	548	37.9	20.3	21.9	7.4	0.9	0.6	8.0	14.7	54.0	0.5	1.7	32.6	3.8	5.3	72.5	59.5	6.2	15.7	3.6	986	192	24	16	94	84	+209
20	Tim Duncan T. Duncan	26	564	660	680	42.2	25.4	21.7	3.1	0.8	3.1	9.5	20.0	47.8	0.1	0.3	33.3	6.2	9.5	65.2	52.6	6.3	15.3	3.2	1,096	81	20	80	84	68	+80
21	Clint Capela C. Capela	24	522	460	480	36.0	19.2	21.8	1.1	0.9	2.3	8.4	13.0	64.6	0.0	0.0		2.4	4.3	55.8	64.5	7.6	14.2	1.2	864	26	21	55	28	52	+169
22	Patrick Ewing P. Ewing	23	496	628	648	41.0	27.3	21.6	3.2	1.2	3.8	10.4	20.8	50.0	0.0	0.1	33.3	6.5	9.0	72.3	55.2	5.4	16.2	3.3	942	74	27	88	77	86	+33
23	Charles Oakley C. Oakley	22	484	370	390	39.7	16.8	22.0	3.3	1.4	0.5	6.4	13.3	48.3	0.0	0.2	0.0	4.0	5.3	75.2	53.9	8.2	13.8	3.4	873	73	30	12	75	86	-2
24	Jayson Williams J. Williams	21	472	298	318	38.9	14.2	22.5	1.4	0.7	1.0	5.3	13.5	39.4	0.0	0.1	0.0	3.5	5.5	63.8	44.5	11.2	11.3	2.1	816	29	15	22	44	80	+78
25	Rony Seikaly R. Seikaly	21	453	432	452	41.5	20.6	21.6	1.7	0.7	1.5	7.5	15.6	48.3	0.0	0.1	50.0	5.5	8.2	66.5	53.6	6.7	14.9	3.5	871	36	15	31	73	73