| Document and Entity Information | Jan. 16, 2020 |
| Document And Entity Information [Line Items] | |
| Entity Registrant Name | Triton International Ltd |
| Amendment Flag | false |
| Entity Central Index Key | 0001660734 |
| Document Type | 8-K |
| Document Period End Date | Jan. 16, 2020 |
| Entity Incorporation State Country Code | D0 |
| Entity File Number | 001-37827 |
| Entity Tax Identification Number | 98-1276572 |
| Entity Address, Address Line One | Victoria Place |
| Entity Address, Address Line Two | 5th Floor |
| Entity Address, Address Line Three | 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 |
| Written Communications | false |
| Soliciting Material | false |
| Pre Commencement Tender Offer | false |
| Pre Commencement Issuer Tender Offer | false |
| Entity Emerging Growth Company | false |
| Common Stock [Member] | |
| Document And Entity Information [Line Items] | |
| Security 12b Title | Common shares, $0.01 par value per share |
| Trading Symbol | TRTN |
| Security Exchange Name | NYSE |
| M 8.50 Series A Cumulative Redeemable Perpetual Preference Shares 2 [Member] | |
| Document And Entity Information [Line Items] | |
| Security 12b Title | 8.50% Series A Cumulative Redeemable Perpetual Preference Shares |
| Trading Symbol | TRTN PRA |
| Security Exchange Name | NYSE |
| M 8.00 Series B Cumulative Redeemable Perpetual Preference Shares 1 [Member] | |
| Document And Entity Information [Line Items] | |
| Security 12b Title | 8.00% Series B Cumulative Redeemable Perpetual Preference Shares |
| Trading Symbol | TRTN PRB |
| Security Exchange Name | NYSE |
| M 7.375 Series C Cumulative Redeemable Perpetual Preference Shares [Member] | |
| Document And Entity Information [Line Items] | |
| Security 12b Title | 7.375% Series C Cumulative Redeemable Perpetual Preference Shares |
| Trading Symbol | TRTN PRC |
| Security Exchange Name | NYSE |
