Document and Entity Information - USD ($)	12 Months Ended
	Dec. 31, 2022	Mar. 01, 2023	Jun. 30, 2022
Cover [Abstract]
Document Type	10-K
Amendment Flag	false
Document Annual Report	true
Document Period End Date	Dec. 31, 2022
Current Fiscal Year End Date	--12-31
Document Fiscal Year Focus	2022
Document Fiscal Period Focus	FY
Document Transition Report	false
Entity File Number	0-53965
Entity Registrant Name	GRAHAM ALTERNATIVE INVESTMENT FUND II LLC
Entity Central Index Key	0001461237
Entity Incorporation, State or Country Code	DE
Entity Tax Identification Number	20-4897149
Entity Address, Address Line One	c/o GRAHAM CAPITAL MANAGEMENT, L.P.
Entity Address, Address Line Two	40 Highland Avenue
Entity Address, City or Town	Rowayton
Entity Address, State or Province	CT
Entity Address, Postal Zip Code	06853
City Area Code	203
Local Phone Number	899-3400
Entity Well-known Seasoned Issuer	No
Entity Voluntary Filers	No
Entity Current Reporting Status	Yes
Entity Interactive Data Current	Yes
Entity Filer Category	Non-accelerated Filer
Entity Small Business	true
Entity Emerging Growth Company	false
ICFR Auditor Attestation Flag	false
Entity Shell Company	false
Entity Public Float			$ 32,978,595
Entity Common Stock, Shares Outstanding		166,257.486
Auditor Firm ID	42
Auditor Name	Ernst & Young LLP
Auditor Location	Stamford, CT