Company: TRTN-PA
Filing Date: 2025-01-31
Form Type: 424B5
Source: 0001193125-25-018485
Chunk: 35

Company: Triton International Ltd
Filing Date: 2025-01-31
Form: 424B5
Chunk 35
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 the occurrence of either of the following after the original issue date of the Series F Preference Shares:

| • |     | the direct or indirect sale, lease, transfer, conveyance or other disposition (other than by way of merger,                                                                                                                      
 consolidation or business combination), in one or a series of related transactions, of all or substantially all of the properties or assets of us and our subsidiaries taken as a whole to any “person” (as that term is used in 
 Section 13(d)(3) of the Exchange Act); or                                                                                                                                                                                        |

| • |     | the consummation of any transaction (including, without limitation, any merger, consolidation or business                                                                                                                                          
 combination), the result of which is that any person (as defined above), other than a Permitted Holder, becomes the beneficial owner, directly or indirectly, of more than 50% of the voting interests of us, measured by voting power rather than 
 percentage of interests.                                                                                                                                                                                                                           |

S-22

“Change of Control Conversion Date” means the date fixed by the
board of directors, in its sole discretion, as the date the Series F Preference Shares are to be converted, which will be a Business Day that is no fewer than 20 days nor more than 35 days after the date on which we provide the notice described
above to holders of the Series F Preference Shares.

“Change of Control Conversion Right” means the right of a
holder of Series F Preference Shares to convert some or all of the Series F Preference Shares held by such holder on the Change of Control Conversion Date into a number of our common shares per Series F Preference Share pursuant to the conversion
provisions in the Certificate of Designation with respect to the Series F Preference Shares.

“Change of Control Triggering Event” means the occurrence of a Change of Control that is accompanied or followed by the occurrence of a Delisting Event within 120 days following the occurrence of such Change of Control.

“Common Share Price” means (i) if the consideration to be received in the Change of Control by the holders of our
common shares is solely cash, the amount of cash consideration per common share; or (ii) if the consideration to be received in the Change of Control by the holders of our common shares is not solely cash and (A) our common shares are
listed or quoted on the NYSE, the NYSE American or Nasdaq or an exchange or quotation system that is a successor to the NYSE, the NYSE American or Nasdaq (any such exchange