Mark Eaton has the most career blocks per game with 3.5 per game.

player with the most blocks per game in history

Interpreted as:

player with the most blocks per game with a minimum of 400 games played in history

NAME	GP	BPG	MPG	PPG	RPG	APG	SPG	TPG	FGM	FGA	FG%	3PM	3PA	3P%	FTM	FTA	FT%	MIN	PTS	REB	AST	STL	BLK	TOV	PF	+/-
Mark Eaton	875	3.5	28.8	6.0	7.9	1.0	0.4	1.5	2.4	5.2	45.8	0.0	0.0	0.0	1.2	1.9	64.9	25,169	5,216	6,939	840	368	3,064	1,293	2,955
Manute Bol	624	3.3	18.7	2.6	4.2	0.3	0.2	0.7	1.1	2.6	40.7	0.1	0.3	21.0	0.4	0.6	56.1	11,698	1,599	2,647	171	126	2,086	451	1,457
Hakeem Olajuwon	1,238	3.1	35.7	21.8	11.1	2.5	1.7	3.0	8.7	17.0	51.2	0.0	0.1	20.2	4.4	6.2	71.2	44,222	26,946	13,748	3,058	2,162	3,830	3,667	4,383	+564
David Robinson	987	3.0	34.7	21.1	10.6	2.5	1.4	2.4	7.5	14.4	51.8	0.0	0.1	25.0	6.1	8.3	73.6	34,271	20,790	10,497	2,441	1,388	2,954	2,417	2,835	+2454
Elmore Smith	408	2.9	29.1	11.8	9.4	1.2	0.8	1.7	4.9	9.9	49.0				2.0	3.4	59.5	11,864	4,801	3,832	505	325	1,183	183	1,340
Alonzo Mourning	838	2.8	31.0	17.1	8.5	1.1	0.5	2.6	6.1	11.6	52.7	0.0	0.1	24.7	4.8	7.0	69.2	25,975	14,311	7,137	946	414	2,356	2,209	2,810	+1651
Dikembe Mutombo	1,196	2.8	30.8	9.8	10.3	1.0	0.4	1.8	3.5	6.7	51.8	0.0	0.0	0.0	2.8	4.1	68.4	36,791	11,729	12,359	1,240	494	3,289	2,173	3,383	+1607
Kareem Abdul-Jabbar	1,239	2.6	35.3	22.9	10.0	3.5	0.9	2.7	9.4	16.8	56.1	0.0	0.0	5.6	4.0	5.4	73.6	43,787	28,316	12,369	4,302	1,160	3,189	2,527	3,667
Shawn Bradley	832	2.5	23.5	8.1	6.3	0.7	0.6	1.3	3.3	7.1	45.7	0.0	0.0	10.3	1.6	2.2	71.6	19,531	6,752	5,268	573	532	2,119	1,059	2,567	+781
George Johnson	848	2.5	20.9	5.0	6.8	1.1	0.5	1.6	2.1	4.6	45.2	0.0	0.0	50.0	0.9	1.3	69.8	17,753	4,280	5,749	921	456	2,082	872	2,667
Patrick Ewing	1,183	2.4	34.3	21.0	9.8	1.9	1.0	3.0	8.2	16.3	50.4	0.0	0.1	15.2	4.6	6.2	74.0	40,594	24,815	11,607	2,215	1,136	2,894	3,537	4,034	+412
Theo Ratliff	810	2.4	25.3	7.2	5.7	0.6	0.5	1.2	2.7	5.5	49.6	0.0	0.0	0.0	1.7	2.4	71.0	20,500	5,809	4,596	465	393	1,968	1,001	2,288	-27
Marcus Camby	973	2.4	29.5	9.5	9.8	1.9	1.0	1.4	3.9	8.3	46.6	0.0	0.1	20.5	1.8	2.6	67.0	28,684	9,262	9,513	1,837	967	2,331	1,362	2,687	-23
Anthony Davis	736	2.3	34.5	24.1	10.6	2.5	1.3	2.0	9.0	17.2	52.3	0.5	1.6	29.7	5.6	7.0	79.5	25,376	17,717	7,826	1,828	974	1,705	1,460	1,742	+904
Shaquille O'Neal	1,207	2.3	34.7	23.7	10.9	2.5	0.6	2.7	9.4	16.1	58.2	0.0	0.0	4.5	4.9	9.3	52.7	41,918	28,596	13,099	3,026	739	2,732	3,310	4,146	+4887
Hassan Whiteside	511	2.2	24.7	12.6	10.8	0.6	0.5	1.5	5.3	9.0	58.6	0.0	0.1	30.8	2.1	3.5	60.5	12,645	6,450	5,523	326	271	1,143	756	1,341	+313
Myles Turner	570	2.2	28.6	13.9	6.8	1.2	0.7	1.4	5.2	10.3	50.2	1.1	3.0	35.4	2.5	3.2	77.1	16,280	7,913	3,878	702	386	1,268	786	1,698	+491
Bill Walton	468	2.2	28.3	13.3	10.5	3.4	0.8	2.7	5.5	10.5	52.1	0.0	0.0	0.0	2.4	3.6	66.0	13,250	6,215	4,923	1,590	380	1,034	865	1,298
Larry Nance	920	2.2	33.4	17.1	8.0	2.6	0.9	1.9	6.9	12.7	54.6	0.0	0.1	14.5	3.2	4.2	75.5	30,697	15,687	7,352	2,393	872	2,027	1,711	2,703
Tree Rollins	1,156	2.2	20.8	5.4	5.8	0.6	0.4	0.9	2.2	4.3	52.2	0.0	0.0	0.0	0.9	1.3	70.0	24,028	6,249	6,750	660	512	2,542	1,057	3,377
Tim Duncan	1,392	2.2	34.0	19.0	10.8	3.0	0.7	2.4	7.4	14.6	50.6	0.0	0.1	17.9	4.2	6.1	69.6	47,368	26,496	15,091	4,225	1,025	3,020	3,381	3,304	+8910
Rudy Gobert	757	2.1	30.4	12.7	11.8	1.3	0.7	1.6	4.7	7.2	65.5	0.0	0.0	0.0	3.3	5.1	63.9	23,042	9,592	8,915	996	520	1,614	1,249	2,027	+3134
Elvin Hayes	894	2.0	36.0	18.6	10.9	1.7	1.0	2.4	7.4	16.1	46.0	0.0	0.1	14.7	3.7	5.5	67.6	32,199	16,600	9,751	1,540	864	1,771	1,358	2,967
Ben Wallace	1,088	2.0	29.5	5.7	9.6	1.3	1.3	1.0	2.4	5.0	47.4	0.0	0.0	13.7	1.0	2.5	41.4	32,085	6,254	10,482	1,437	1,369	2,137	1,061	2,078	+2103
Benoit Benjamin	807	2.0	27.2	11.4	7.5	1.3	0.6	2.3	4.4	9.0	49.7	0.0	0.0	4.8	2.5	3.5	72.1	21,911	9,223	6,063	1,070	522	1,581	1,847	2,292	+4