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

OF THE SECURITIES EXCHANGE ACT OF 1934

August, 2026

Commission File Number: 001-43208

The Metals Royalty Company Inc.

1900 Dome Tower

333 7^th Ave SW

Calgary, AB, T2P 2Z1

British Columbia, Canada

(403) 984-1941

(Address of principal executive offices)

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

Form 20-F x Form 40-F ¨

TABLE OF CONTENTS

Exhibit No.		Description

Exhibit No. 99.1		Unaudited Condensed Interim Financial Statements for the three months ended June 30, 2026

Exhibit No. 99.2		Management’s Discussion and Analysis of Financial Condition and Results of Operations for the three months ended June 30, 2026

SIGNATURE

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.

	The Metals Royalty Company Inc.

	By:	/s/ Donald Sewell
	Name:	Donald Sewell
	Title:	President & Chief Financial Officer

Date: August 10, 2026

ATTACHMENTS / EXHIBITS

ATTACHMENTS / EXHIBITS

EXHIBIT 99.1

EXHIBIT 99.2