Jaylen Brown has averaged the most career points per game in All-Star Games, with 31.0 per game.

Interpreted as:

all star game, most ppg by a player

NAME	PPG	GP	MPG	RPG	APG	SPG	BPG	TPG	FGM	FGA	FG%	3PM	3PA	3P%	FTM	FTA	FT%	MIN	PTS	REB	AST	STL	BLK	TOV	PF	+/-
Jaylen Brown	31.0	3	24.6	9.0	3.0	1.7	0.0	1.3	13.0	20.7	62.9	4.7	10.3	45.2	0.3	1.0	33.3	74	93	27	9	5	0	4	1	+9
Dale Ellis	27.0	1	26.0	6.0	2.0	0.0	0.0	2.0	12.0	16.0	75.0	1.0	1.0	100.0	2.0	2.0	100.0	26	27	6	2	0	0	2	2
Tyrese Haliburton	25.0	2	20.5	4.0	4.5	0.0	0.0	1.5	9.0	12.0	75.0	7.0	10.0	70.0	0.0	0.0		41	50	8	9	0	0	3	0	+25
Giannis Antetokounmpo	24.9	8	22.1	7.6	2.8	1.1	0.8	1.3	11.5	16.1	71.3	0.8	2.8	27.3	1.1	1.8	64.3	177	199	61	22	9	6	10	13	+8
Kevin Durant	24.4	11	26.7	6.1	3.8	1.7	0.5	1.3	9.5	17.5	53.9	3.1	8.5	36.2	2.4	2.6	89.7	294	268	67	42	19	5	14	11	-11
Adrian Smith	24.0	1	26.0	8.0	3.0				9.0	18.0	50.0				6.0	6.0	100.0	26	24	8	3				5
Joel Embiid	23.8	5	26.1	9.4	2.2	0.6	0.8	0.8	9.6	15.4	62.3	2.2	5.0	44.0	2.4	3.2	75.0	131	119	47	11	3	4	4	10	-19
Damian Lillard	22.3	7	20.4	2.9	2.9	1.0	0.0	1.3	8.0	16.9	47.5	6.0	14.1	42.4	0.3	0.3	100.0	143	156	20	20	7	0	9	2	+77
Jayson Tatum	22.0	5	21.5	4.4	4.8	2.0	0.4	1.0	9.2	15.6	59.0	3.4	8.8	38.6	0.2	0.4	50.0	107	110	22	24	10	2	5	3	+32
Stephen Curry	21.8	9	27.9	5.6	6.0	1.2	0.3	2.8	7.9	18.6	42.5	5.7	14.3	39.5	0.3	0.3	100.0	251	196	50	54	11	3	25	7	+3
Karl-Anthony Towns	21.8	4	17.8	6.8	1.8	0.3	0.0	0.8	9.8	15.3	63.9	1.8	6.0	29.2	0.5	0.5	100.0	71	87	27	7	1	0	3	0	-21
LeBron James	21.7	20	26.8	5.7	5.7	1.1	0.4	3.0	9.1	17.8	51.3	2.1	6.9	29.7	1.5	2.0	72.5	536	434	114	113	22	8	59	19	-40
Russell Westbrook	21.6	9	22.5	5.2	3.8	1.4	0.0	1.4	9.0	17.8	50.6	2.4	7.2	33.8	1.1	1.9	58.8	202	194	47	34	13	0	13	9	+15
Kyle Korver	21.0	1	15.6	1.0	2.0	0.0	0.0	0.0	7.0	13.0	53.8	7.0	12.0	58.3	0.0	0.0		16	21	1	2	0	0	0	1	-2
Oscar Robertson	20.5	12	31.7	5.8	6.8				7.3	14.3	51.2				5.8	8.2	71.4	380	246	69	81				41
Bob Pettit	20.4	11	32.7	16.2	2.1				7.4	17.5	42.0				5.6	7.3	77.5	360	224	178	23				25
Michael Jordan	20.2	13	29.4	4.7	4.2	2.8	0.5	3.2	8.5	17.9	47.2	0.2	0.8	27.3	3.0	4.0	75.0	382	262	61	54	37	6	42	31	+15
Kyrie Irving	20.1	8	26.6	6.0	9.9	0.9	0.1	2.0	8.5	14.1	60.2	2.8	6.1	44.9	0.4	0.5	75.0	213	161	48	79	7	1	16	15	+40
Julius Erving	20.1	11	28.7	6.4	3.2	1.6	1.0	1.9	7.7	16.2	47.8	0.1	0.1	100.0	4.5	5.7	79.4	316	221	70	35	18	11	19	31
Shai Gilgeous-Alexander	20.0	2	18.8	3.0	6.5	0.5	0.0	0.0	8.0	10.5	76.2	4.0	5.5	72.7	0.0	0.0		38	40	6	13	1	0	0	0	0
Elgin Baylor	19.8	11	29.2	9.0	3.5				6.4	14.9	42.7				7.1	8.9	79.6	321	218	99	38				31
George Mikan	19.5	4	33.3	12.8	1.8				7.0	20.0	35.0				5.5	6.8	81.5	100	78	51	7				14
Blake Griffin	19.4	5	25.0	5.6	3.0	1.2	0.2	0.6	9.0	12.0	75.0	0.6	1.6	37.5	0.8	1.6	50.0	125	97	28	15	6	1	3	10	-29
Paul Westphal	19.4	5	25.6	1.4	4.8	1.2	1.0	2.8	8.6	13.6	63.2	0.0	1.0	0.0	2.2	3.2	68.8	128	97	7	24	6	5	11	14
Kobe Bryant	19.3	15	27.7	5.0	4.7	2.5	0.4	2.3	7.9	15.9	50.0	1.5	4.5	32.4	2.0	2.5	78.9	415	290	75	70	38	6	35	35	+88