UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 6-K

REPORT OF FOREIGN PRIVATE ISSUER

PURSUANT TO RULE 13a-16 OR 15d-16

UNDER THE SECURITIES EXCHANGE ACT OF 1934

For the month of October 2025

Commission File Number: 001-41484

TRIPLE FLAG PRECIOUS METALS CORP.

(Translation of the registrant’s nameinto English)

TD Canada Trust Tower, 161 Bay Street, Suite 4535,Toronto, Ontario, Canada M5J 2S1

(Address of principal executive office)

Indicate by check mark whether the registrant files or will file annualreports under cover of Form 20-F or Form 40-F.

Form 20-F ¨            Form 40-F x

Exhibits 99.1 of this Form 6-K are incorporatedby reference into Triple Flag Precious Metals Corp.’s registration statements on Form F-10 (File No. 333-279789) and Form S-8 (File No. 333-267209).

The following document, which is attached as an exhibit hereto, isincorporated by reference herein:

SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934,the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

Exhibit 99.1

NEWS RELEASE

Toronto, October 8, 2025

TripleFlag Announces Strong Revenue in Q3 2025 and First Production from Johnson Camp Mine and Tres Quebradas

Triple Flag Precious Metals Corp.(with its subsidiaries, “Triple Flag” or the “Company”) (TSX: TFPM, NYSE: TFPM) announced strong revenue of US$93.5million for the third quarter of 2025 from quarterly metal sales of 27,037 gold equivalent ounces (“GEOs”). All dollar amountsare expressed in US dollars, unless otherwise noted.

“Triple Flag deliveredanother strong quarter of performance anchored by Northparkes, and the Company remains on track to achieve our 2025 GEOs guidance of105,000 to 115,000 ounces, with 84,480 GEOs sold over the first three quarters of the year. Our strong year-to-date performance in 2025allows us to directly benefit from record gold prices, which reached a record average of approximately $3,457 per ounce during the thirdquarter. We are also pleased to congratulate our operating partners on the start of production at Johnson Camp Mine and Tres Quebradastowards the end of the third quarter, in line with their market guidance. Triple Flag recorded its first revenue from these two assetsin the third quarter, increasing the number of cash flowing assets in our portfolio. We look forward to these long-life, scalable minesdelivering value to our shareholders for decades into the future,” commented Sheldon Vanderkooy, CEO.

PreliminaryQ3 2025 GEOs Sold and Revenue

GEOs Sold and Revenue byCommodity¹

ConferenceCall Details

Triple Flag will release itsQ3 2025 results on Tuesday, November 4, after market close.

A conference call and live webcast presentationwill be held the following day, November 5, 2025, starting at 9:00 a.m. ET (6:00 a.m. PT) to discuss these results. Thelive webcast can be accessed by visiting the Events and Presentations page on the Company’s website at: www.tripleflagpm.com.An archived version of the webcast will be available on the website for one year following the webcast.

About Triple Flag PreciousMetals

Triple Flag is a precious metalsstreaming and royalty company. We offer investors exposure to gold and silver from a total of 237 assets, consisting of 17 streams and220 royalties, primarily from the Americas and Australia. These streams and royalties are tied to mining assets at various stages ofthe mine life cycle, including 31 producing mines and 206 development and exploration stage projects and other assets. Triple Flag islisted on the Toronto Stock Exchange and New York Stock Exchange, under the ticker “TFPM”.

Contact Information

Investor Relations:

David Lee

Vice President, InvestorRelations

Tel: +1 (416) 304-9770

Email: ir@tripleflagpm.com

Media:

Gordon Poole, Camarco

Tel: +44 (0) 7730 567 938

Email: tripleflag@camarco.co.uk

Qualified Person

James Lill, Director, Miningfor Triple Flag Precious Metals and a “qualified person” under NI 43-101 has reviewed and approved the written scientificand technical disclosures contained in this press release.

Forward-Looking Information

This news release contains “forward-lookinginformation” within the meaning of applicable Canadian securities laws and “forward-looking statements” within themeaning of the United States Private Securities Litigation Reform Act of 1995, respectively (collectively referred to herein as “forward-lookinginformation”). Forward-looking information may be identified by the use of forward-looking terminology such as “plans”, “targets”, “expects”, “is expected”, “budget”, “scheduled”, “estimates”, “outlook”, “forecasts”, “projection”, “prospects”, “strategy”, “intends”, “anticipates”, “believes” or variations of such words and phrases or terminology which states that certain actions,events or results “may”, “could”, “would”, “might”, “will”, “will betaken”, “occur” or “be achieved”. Forward-looking information in this news release include, but are notlimited to, statements with respect to the accounting treatments for certain of the Company’s streams, the Company’s preliminarysales and revenue information for the third quarter of 2025, the release of its financial results for the third quarter of 2025, andthe conduct of the conference call to discuss said results. In addition, any statements that refer to expectations, intentions, projectionsor other characterizations of future events or circumstances contain forward-looking information. Statements containing forward-lookinginformation are not historical facts but instead represent management’s expectations, estimates and projections regarding possiblefuture events or circumstances.

The forward-looking informationincluded in this news release is based on our opinions, estimates and assumptions in light of our experience and perception of historicaltrends, current conditions and expected future developments, as well as other factors that we currently believe are appropriate and reasonablein the circumstances. The forward-looking information contained in this news release is also based upon a number of assumptions, includingthe ongoing operation of the properties in which we hold a stream or royalty interest by the owners or operators of such properties ina manner consistent with past practice; the accuracy of public statements and disclosures made by the owners or operators of such underlyingproperties; and the accuracy of publicly disclosed expectations for the development of underlying properties that are not yet in production.These assumptions include, but are not limited to, the following: assumptions in respect of current and future market conditions andthe execution of our business strategies; that operations, or ramp-up where applicable, at properties in which we hold a royalty, streamor other interest continue without further interruption through the period; and the absence of any other factors that could cause actions,events or results to differ from those anticipated, estimated, intended or implied. Despite a careful process to prepare and review theforward-looking information, there can be no assurance that the underlying opinions, estimates and assumptions will prove to be correct.Forward-looking information is also subject to known and unknown risks, uncertainties and other factors that may cause the actual results,level of activity, performance or achievements to be materially different from those expressed or implied by such forward-looking information.Such risks, uncertainties and other factors include, but are not limited to, those set forth under the caption “Risk and Risk Management”in our management’s discussion and analysis in respect of the fourth quarter and full year of 2024 and the caption “RiskFactors” in our most recently filed annual information form, each of which is available on SEDAR+ at www.sedarplus.ca and on EDGARat www.sec.gov. In addition, we note that mineral resources that are not mineral reserves do not have demonstrated economic viabilityand inferred resources are considered too geologically speculative for the application of economic considerations.

Although we have attempted toidentify important risk factors that could cause actual results or future events to differ materially from those contained in the forward-lookinginformation, there may be other risk factors not presently known to us or that we presently believe are not material that could alsocause actual results or future events to differ materially from those expressed in such forward-looking information. There can be noassurance that such information will prove to be accurate, as actual results and future events could differ materially from those anticipatedin such information. Accordingly, readers should not place undue reliance on forward-looking information, which speaks only as of thedate made. The forward-looking information contained in this news release represents our expectations as of the date of this news releaseand is subject to change after such date. We disclaim any intention or obligation or undertaking to update or revise any forward-lookinginformation whether as a result of new information, future events or otherwise, except as required by applicable securities laws. Allof the forward-looking information contained in this news release is expressly qualified by the foregoing cautionary statements.

Cautionary Statement to U.S.Investors

Information contained or referencedin this press release or in the documents referenced herein concerning the properties, technical information and operations of TripleFlag has been prepared in accordance with requirements and standards under Canadian securities laws, which differ from the requirementsof the U.S. Securities and Exchange Commission (“SEC”) under subpart 1300 of Regulation S-K (“S-K 1300”). Becausethe Company is eligible for the Multijurisdictional Disclosure System adopted by the SEC and Canadian Securities Administrators, TripleFlag is not required to present disclosure regarding its mineral properties in compliance with S-K 1300. Accordingly, certain informationcontained in this press release may not be comparable to similar information made public by U.S. companies subject to reporting and disclosurerequirements of the SEC.

Technical and Third-PartyInformation

Triple Flag does not own, developor mine the underlying properties on which it holds stream or royalty interests. As a royalty or stream holder, Triple Flag has limited,if any, access to properties included in its asset portfolio. As a result, Triple Flag is dependent on the owners or operators of theproperties and their qualified persons to provide information to Triple Flag and on publicly available information to prepare disclosurepertaining to properties and operations on the properties on which Triple Flag holds stream, royalty or other similar interests. TripleFlag generally has limited or no ability to independently verify such information. Although Triple Flag does not believe that such informationis inaccurate or incomplete in any material respect, there can be no assurance that such third-party information is complete or accurate.

¹Results are unaudited. The Company cautions that, whether or not expressly stated, all third quarter figures contained in this pressrelease including, without limitation, sales and associated costs are preliminary, and reflect our expected third quarter results asof the date of this press release. Actual reported third quarter sales and associated costs are subject to management’s final reviewand may vary significantly from those expectations because of a number of factors, including, without limitation, additional or revisedinformation, and changes in accounting standards or policies, or in how those standards are applied.