Between the 1999-00 and 2008-09 seasons, Ben Wallace had the most games with 20+ rebounds, with 41 games.

Interpreted as:

most 20 or more rebound regular-season games by a player in the 2000s

	NAME	GP	REB	MPG	PPG	RPG	APG	SPG	BPG	FGM	FGA	FG%	3PM	3PA	3P%	FTM	FTA	FT%	TS%	OREB	DREB	TPG	MIN	PTS	AST	STL	BLK	TOV	PF	+/-
1	Ben Wallace B. Wallace	41	891	40.6	9.1	21.7	1.9	1.2	3.3	3.7	7.4	50.5	0.0	0.1	40.0	1.6	3.8	41.6	50.2	6.6	15.1	1.3	1,664	372	77	50	136	55	93	+314
2	Kevin Garnett K. Garnett	35	752	41.6	24.0	21.5	5.5	1.1	2.0	9.2	19.5	47.4	0.2	0.8	28.6	5.3	6.5	81.5	53.7	4.8	16.7	2.8	1,457	839	192	38	70	98	100	+152
3	Marcus Camby M. Camby	33	716	39.0	13.6	21.7	2.9	0.9	3.8	5.5	11.7	46.6	0.0	0.2	0.0	2.7	3.8	70.6	50.9	5.2	16.5	2.0	1,285	449	97	30	125	65	98	+208
4	Dwight Howard D. Howard	31	667	40.0	22.8	21.5	1.5	1.2	2.6	7.9	13.9	56.8	0.0	0.1	0.0	7.0	11.5	60.3	60.0	6.4	15.1	3.2	1,239	706	45	38	80	99	99	+248
5	Dikembe Mutombo D. Mutombo	25	556	40.1	12.3	22.2	1.3	0.5	3.8	4.0	8.0	49.5	0.0	0.0		4.4	5.6	78.4	58.8	6.6	15.6	2.9	1,002	307	33	12	95	72	63	+71
6	Tim Duncan T. Duncan	20	426	43.5	27.1	21.3	3.4	0.7	3.4	10.1	20.4	49.3	0.2	0.4	42.9	6.8	10.6	64.2	54.0	6.2	15.2	3.7	869	541	67	14	67	73	55	+46
7	Tyson Chandler T. Chandler	17	361	37.4	15.3	21.2	1.1	0.6	2.1	6.1	10.8	56.8	0.0	0.1	0.0	3.1	5.2	58.4	58.5	8.6	12.6	1.5	636	260	18	10	35	26	43	+126
8	Shaquille O'Neal S. O'Neal	16	346	43.3	33.3	21.6	2.8	0.3	3.3	13.1	21.8	60.1	0.0	0.0		7.2	13.3	54.0	60.3	6.8	14.8	3.4	692	533	45	4	52	54	55	+133
9	Troy Murphy T. Murphy	8	164	38.3	14.3	20.5	2.5	0.4	0.4	5.5	13.6	40.4	0.8	3.3	23.1	2.5	3.9	64.5	46.5	5.5	15.0	2.0	306	114	20	3	3	16	21	+31
10	Elton Brand E. Brand	8	168	43.4	27.3	21.0	3.3	1.1	2.1	10.9	19.1	56.9	0.0	0.0		5.5	7.1	77.2	61.2	8.4	12.6	2.5	347	218	26	9	17	20	28	+43
11	Antonio McDyess A. McDyess	8	164	42.6	23.1	20.5	2.4	1.4	1.5	9.5	19.4	49.0	0.0	0.0		4.1	5.5	75.0	53.1	6.9	13.6	2.3	341	185	19	11	12	18	24	+15
12	Chris Kaman C. Kaman	7	151	41.2	20.3	21.6	1.7	1.1	2.9	7.6	14.7	51.5	0.0	0.0		5.1	6.4	80.0	57.8	4.6	17.0	3.3	288	142	12	8	20	23	26	+79
13	Erick Dampier E. Dampier	7	161	41.0	17.4	23.0	1.6	0.4	3.3	6.9	12.4	55.2	0.0	0.0		3.7	6.0	61.9	57.8	10.0	13.0	1.3	287	122	11	3	23	9	19	+50
14	Emeka Okafor E. Okafor	6	131	43.3	18.3	21.8	0.8	0.3	3.5	7.2	11.7	61.4	0.0	0.0		4.0	7.0	57.1	62.2	6.3	15.5	0.8	260	110	5	2	21	5	17	+47
15	Samuel Dalembert S. Dalembert	6	125	35.1	14.7	20.8	0.5	0.5	1.8	5.5	11.3	48.5	0.0	0.0		3.7	4.7	78.6	54.8	7.3	13.5	1.8	211	88	3	3	11	11	19	+38
16	Dirk Nowitzki D. Nowitzki	6	127	43.8	26.5	21.2	3.2	1.2	1.2	9.2	20.5	44.7	1.0	4.2	24.0	7.2	8.0	89.6	55.2	2.7	18.5	3.2	263	159	19	7	7	19	17	+17
17	Donyell Marshall D. Marshall	6	130	43.7	22.7	21.7	3.2	1.5	1.8	9.0	19.0	47.4	0.8	2.8	29.4	3.8	4.8	79.3	53.6	7.5	14.2	2.2	262	136	19	9	11	13	13	-2
18	Al Jefferson A. Jefferson	5	104	38.7	25.6	20.8	2.0	2.0	1.6	10.8	22.8	47.4	0.0	0.0		4.0	5.4	74.1	50.8	6.0	14.8	2.4	193	128	10	10	8	12	12	+2
19	Shawn Marion S. Marion	5	111	40.4	18.2	22.2	2.2	2.2	1.6	7.4	16.0	46.3	0.6	2.8	21.4	2.8	4.0	70.0	51.2	5.8	16.4	1.0	202	91	11	11	8	5	11	+68
20	Carlos Boozer C. Boozer	5	103	37.7	23.0	20.6	3.6	0.4	0.2	8.4	16.4	51.2	0.0	0.0		6.2	7.8	79.5	58.0	6.4	14.2	3.2	189	115	18	2	1	16	17	+11
21	Amar'e Stoudemire A. Stoudemire	5	105	41.7	24.2	21.0	1.4	1.0	1.4	9.4	18.0	52.2	0.0	0.4	0.0	5.4	8.2	65.9	56.0	7.0	14.0	3.2	208	121	7	5	7	16	19	+28
22	Danny Fortson D. Fortson	5	104	40.2	18.6	20.8	2.0	0.6	0.0	6.2	13.8	44.9	0.0	0.0		6.2	8.4	73.8	53.2	5.6	15.2	2.6	201	93	10	3	0	13	19	+35
23	Chris Webber C. Webber	5	109	45.2	29.8	21.8	4.6	1.8	2.0	12.8	26.4	48.5	0.4	1.0	40.0	3.8	6.2	61.3	51.2	5.4	16.4	2.8	226	149	23	9	10	14	11	-8
24	Andrew Bogut A. Bogut	4	84	41.3	17.0	21.0	2.0	0.3	1.3	6.5	12.3	53.1	0.0	0.3	0.0	4.0	5.5	72.7	57.9	6.3	14.8	3.3	165	68	8	1	5	13	17	+9
25	Jermaine O'Neal J. O'Neal	4	81	42.3	26.0	20.3	3.0	1.5	2.3	10.3	20.3	50.6	0.0	0.0		5.5	6.5	84.6	56.3	6.3	14.0	2.5	169	104	12	6	9	10	13	+36