Document and Entity Information - shares	3 Months Ended
	Mar. 31, 2020	Apr. 17, 2020
Entity Information [Line Items]
Document Type	10-Q
Document Quarterly Report	true
Document Period End Date	Mar. 31, 2020
Document Transition Report	false
Entity File Number	001-37827
Entity Incorporation, State or Country Code	D0
Entity Tax Identification Number	98-1276572
Entity Address, Address Line One	Victoria Place, 5th Floor
Entity Address, Address Line Two	31 Victoria Street
Entity Address, City or Town	Hamilton
Entity Address, Postal Zip Code	HM 10
Entity Address, Country	BM
City Area Code	441
Local Phone Number	294-8033
Entity Current Reporting Status	Yes
Entity Interactive Data Current	Yes
Entity Filer Category	Large Accelerated Filer
Entity Small Business	false
Entity Emerging Growth Company	false
Entity Shell Company	false
Entity Common Stock, Shares Outstanding		70,275,947
Entity Registrant Name	Triton International Ltd
Entity Central Index Key	0001660734
Current Fiscal Year End Date	--12-31
Document Fiscal Year Focus	2020
Document Fiscal Period Focus	Q1
Amendment Flag	false
Common shares, $0.01 par value per share | New York Stock Exchange
Entity Information [Line Items]
Title of 12(b) Security	Common shares, $0.01 par value per share
Trading Symbol	TRTN
Security Exchange Name	NYSE
8.50% Series A Cumulative Redeemable Perpetual Preference Shares | New York Stock Exchange
Entity Information [Line Items]
Title of 12(b) Security	8.50% Series A Cumulative Redeemable Perpetual Preference Shares
Trading Symbol	TRTN PRA
Security Exchange Name	NYSE
8.00% Series B Cumulative Redeemable Perpetual Preference Shares | New York Stock Exchange
Entity Information [Line Items]
Title of 12(b) Security	8.00% Series B Cumulative Redeemable Perpetual Preference Shares
Trading Symbol	TRTN PRB
Security Exchange Name	NYSE
7.375% Series C Cumulative Redeemable Perpetual Preference Shares | New York Stock Exchange
Entity Information [Line Items]
Title of 12(b) Security	7.375% Series C Cumulative Redeemable Perpetual Preference Shares
Trading Symbol	TRTN PRC
Security Exchange Name	NYSE
6.875% Series D Cumulative Redeemable Perpetual Preference Shares | New York Stock Exchange
Entity Information [Line Items]
Title of 12(b) Security	6.875% Series D Cumulative Redeemable Perpetual Preference Shares
Trading Symbol	TRTN PRD
Security Exchange Name	NYSE