Damian Lillard has the most games in All-Star Games with 6+ three-pointers, with 4 games.

player with most games recording 6+ three-pointers in an nba all-star game

NAME	GP	3PM	MPG	PPG	RPG	APG	SPG	BPG	TPG	FGM	FGA	FG%	3PA	3P%	FTM	FTA	FT%	MIN	PTS	REB	AST	STL	BLK	TOV	PF	+/-
Damian Lillard	4	33	24.1	28.8	3.5	4.0	1.5	0.0	0.8	10.0	21.0	47.6	19.0	43.4	0.5	0.5	100.0	97	115	14	16	6	0	3	1	+54
Stephen Curry	3	30	28.9	34.7	4.7	4.0	2.3	0.7	2.7	12.3	22.3	55.2	18.7	53.6	0.0	0.0		87	104	14	12	7	2	8	2	+36
James Harden	3	21	26.4	24.3	4.7	5.0	1.0	0.0	2.7	8.7	14.7	59.1	12.3	56.8	0.0	0.0		79	73	14	15	3	0	8	0	-10
Paul George	2	15	26.3	30.5	3.5	2.5	2.0	0.0	1.5	11.5	20.0	57.5	15.5	48.4	0.0	0.0		53	61	7	5	4	0	3	0	-25
Russell Westbrook	2	14	20.9	36.0	6.5	6.0	3.0	0.0	2.5	14.0	24.5	57.1	15.0	46.7	1.0	1.0	100.0	42	72	13	12	6	0	5	2	+21
Kevin Durant	2	12	30.1	34.5	8.5	4.0	1.0	1.0	1.5	12.0	21.0	57.1	13.0	46.2	4.5	4.5	100.0	60	69	17	8	2	2	3	1	-12
Jaylen Brown	1	6	22.2	36.0	8.0	3.0	1.0	0.0	1.0	15.0	23.0	65.2	12.0	50.0	0.0	0.0		22	36	8	3	1	0	1	0	+4
Shai Gilgeous-Alexander	1	7	27.6	31.0	4.0	6.0	1.0	0.0	0.0	12.0	16.0	75.0	10.0	70.0	0.0	0.0		28	31	4	6	1	0	0	0	-2
Tyrese Haliburton	1	10	27.0	32.0	7.0	6.0	0.0	0.0	3.0	11.0	15.0	73.3	14.0	71.4	0.0	0.0		27	32	7	6	0	0	3	0	+16
Jayson Tatum	1	10	35.3	55.0	10.0	6.0	1.0	1.0	4.0	22.0	31.0	71.0	18.0	55.6	1.0	2.0	50.0	35	55	10	6	1	1	4	0	+6
Donovan Mitchell	1	8	30.1	40.0	4.0	10.0	3.0	0.0	2.0	15.0	25.0	60.0	17.0	47.1	2.0	2.0	100.0	30	40	4	10	3	0	2	1	+8
Bradley Beal	1	6	30.6	26.0	2.0	4.0	1.0	0.0	1.0	10.0	16.0	62.5	12.0	50.0	0.0	0.0		31	26	2	4	1	0	1	0	-5
Kawhi Leonard	1	8	20.4	30.0	7.0	4.0	2.0	0.0	1.0	11.0	18.0	61.1	14.0	57.1	0.0	0.0		20	30	7	4	2	0	1	2	-5
Chris Paul	1	7	25.5	23.0	2.0	6.0	0.0	0.0	2.0	8.0	13.0	61.5	11.0	63.6	0.0	0.0		26	23	2	6	0	0	2	4	+13
Khris Middleton	1	6	21.6	20.0	5.0	4.0	0.0	0.0	1.0	7.0	13.0	53.8	10.0	60.0	0.0	0.0		22	20	5	4	0	0	1	0	+3
Klay Thompson	1	6	22.3	20.0	8.0	4.0	1.0	0.0	0.0	7.0	16.0	43.8	12.0	50.0	0.0	0.0		22	20	8	4	1	0	0	2	+9
Kyrie Irving	1	6	21.9	22.0	7.0	14.0	3.0	0.0	2.0	8.0	12.0	66.7	8.0	75.0	0.0	0.0		22	22	7	14	3	0	2	1	+12
Kyle Korver	1	7	15.6	21.0	1.0	2.0	0.0	0.0	0.0	7.0	13.0	53.8	12.0	58.3	0.0	0.0		16	21	1	2	0	0	0	1	-2
Carmelo Anthony	1	8	30.1	30.0	5.0	2.0	0.0	0.0	0.0	10.0	18.0	55.6	13.0	61.5	2.0	2.0	100.0	30	30	5	2	0	0	0	3	+4
LeBron James	1	6	32.2	36.0	6.0	7.0	0.0	0.0	4.0	15.0	23.0	65.2	8.0	75.0	0.0	0.0		32	36	6	7	0	0	4	2	+4
Mark Price	1	6	23.0	19.0	1.0	4.0	1.0	0.0	3.0	6.0	11.0	54.5	9.0	66.7	1.0	2.0	50.0	23	19	1	4	1	0	3	5