Arsenal had their most points in the Premier League in a season in 2003-04, with 90 points.

arsenal most points in a premier league season

CLUB	POINTS	SEASON	M	W	D	L	G	GC	XG	XGA	SH	SOT	PASS-ATT	PASS	POSS%	FOUL	YC	RC
Arsenal	90	2003-04	38	26	12	0	73	26									51	3
Arsenal	89	2023-24	38	28	5	5	91	29	74.94	28.11	656	227	21,151	18,391	58.5	391	64	2
Arsenal	87	2001-02	38	26	9	3	79	36									71	6
Arsenal	84	2022-23	38	26	6	6	88	43	64.38	38.98	593	204	20,532	17,578	59.8	373	51	0
Arsenal	83	2007-08	38	24	11	3	74	31			627	208	18,831		58.9	407	57	3
Arsenal	83	2004-05	38	25	8	5	87	36									45	1
Arsenal	79	2013-14	38	24	7	7	68	41			523	213	21,561		56.8	350	58	5
Arsenal	78	2002-03	38	23	9	6	85	42									55	3
Arsenal	78	1998-99	38	22	12	4	59	17									62	7
Arsenal	78	1997-98	38	23	9	6	68	33									70	3
Arsenal	75	2016-17	38	23	6	9	77	44	65.50	44.23	566	201	21,394	17,918	58.7	398	69	3
Arsenal	75	2014-15	38	22	9	7	71	36			610	227	20,526	17,210	56.6	376	69	2
Arsenal	75	2009-10	38	23	6	9	83	41			660	233	19,291		59.6	471	56	1
Arsenal	73	2012-13	38	21	10	7	72	37			597	205	21,110		58.2	383	46	5
Arsenal	73	1999-00	38	22	7	9	73	43									66	5
Arsenal	72	2008-09	38	20	12	6	68	37			662	220	19,008		58.5	463	62	3
Arsenal	71	2015-16	38	20	11	7	65	36	65.14	33.57	571	211	21,479	18,123	58.3	350	45	5
Arsenal	71	1993-94	42	18	17	7	53	28									32	1
Arsenal	70	2018-19	38	21	7	10	73	51	58.86	53.96	467	170	21,037	17,543	58.4	412	74	2
Arsenal	70	2011-12	38	21	7	10	74	49			637	236	20,613		60.2	407	70	4
Arsenal	70	2000-01	38	20	10	8	63	38									46	3
Arsenal	69	2021-22	38	22	3	13	61	48	59.69	44.32	588	196	18,310	15,320	53.1	363	67	4
Arsenal	68	2010-11	38	19	11	8	72	43			654	238	20,150		60.1	453	69	6
Arsenal	68	2006-07	38	19	11	8	63	35			638	226	18,467		59.0	402	61	3
Arsenal	68	1996-97	38	19	11	8	62	32									81	5