Cover Page Cover Page - shares	9 Months Ended
	Sep. 30, 2020	Oct. 30, 2020
Document Information [Line Items]
Document Type	10-Q
Document Quarterly Report	true
Document Period End Date	Sep. 30, 2020
Document Transition Report	false
Entity File Number	001-37716
Entity Registrant Name	Stratus Properties Inc.
Entity Incorporation, State or Country Code	DE
Entity Tax Identification Number	72-1211572
Entity Address, Address Line One	212 Lavaca Street, Suite 300
Entity Address, City or Town	Austin
Entity Address, State or Province	TX
Entity Address, Postal Zip Code	78701
City Area Code	512
Local Phone Number	478-5788
Entity Current Reporting Status	Yes
Entity Interactive Data Current	Yes
Entity Filer Category	Accelerated Filer
Entity Small Business	true
Entity Emerging Growth Company	false
Entity Shell Company	false
Entity Common Stock, Shares Outstanding		8,221,014
Entity Central Index Key	0000885508
Current Fiscal Year End Date	--12-31
Document Fiscal Year Focus	2020
Document Fiscal Period Focus	Q3
Amendment Flag	false
Common Stock, Par Value, $0.01 per share
Document Information [Line Items]
Title of 12(b) Security	Common Stock, par value $0.01 per share
Trading Symbol	STRS
Security Exchange Name	NASDAQ
Series D Participating Cumulative Preferred Stock Purchase Rights
Document Information [Line Items]
Title of 12(b) Security	Series D Participating Cumulative Preferred Stock Purchase Rights
Trading Symbol	STRS
Security Exchange Name	NASDAQ