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UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

WASHINGTON, D.C.

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 September 2026

COMMISSION FILE NUMBER: 001-33373

CAPITAL CLEAN ENERGY CARRIERS CORP.

(Translation of registrant’s name into English)

3 Iassonos Street

Piraeus, 18537 Greece

(Address of principal executive offices)

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

Form 20-F ☒ Form \n40-F ☐

Attached as Exhibit I hereto is a copy of the press release of Capital Clean\nEnergy Carriers Corp. announcing the results of its annual meeting of shareholders.

This report on Form 6-K is\nhereby incorporated by reference into the registrant’s Registration Statement on Form F-3 (File No. 333-282610), Registration Statement on Form F-3 (File No. 333-286825) and Registration Statement on Form F-3 (File\nNo. 333-287895).

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\nthe undersigned, thereunto duly authorized.

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n


	CAPITAL CLEAN ENERGY CARRIERS CORP.
Dated: October 5, 2026

		/s/ Gerasimos (Jerry) Kalogiratos
		Name:	Gerasimos (Jerry) Kalogiratos
		Title:	Chief Executive Officer

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