Exhibit 5.1

		811 Main Street, Suite 3700
		Houston, TX 77002
		Tel: +1.713.546.5400 Fax: +1.713.546.5401
		www.lw.com
		FIRM / AFFILIATE OFFICES
		Austin		Milan
		Beijing		Munich
		Boston		New York
		Brussels		Orange County
		Century City		Paris
		Chicago		Riyadh
August 1, 2025		Dubai		San Diego
		Düsseldorf		San Francisco
		Frankfurt		Seoul
		Hamburg		Silicon Valley
		Hong Kong		Singapore
		Houston		Tel Aviv
Blaize Holdings, Inc.		London		Tokyo
4659 Golden Foothill Parkway, Suite 206		Los Angeles		Washington, D.C.
El Dorado Hills, C 95762		Madrid

Re: Blaize Holdings, Inc. – Registration Statement on Form S-1

To the addressee set forth above:

We have acted as special counsel to Blaize Holdings, Inc., a Delaware corporation (the “Company”), in connection with the filing on the date hereof with the Securities and Exchange Commission (the “Commission”) of a registration statement on Form S-1 (as amended, the “Registration Statement”) under the Securities Act of 1933, as amended (the “Act”), relating to the registration of the offer and sale from time to time, (i) by B. Riley Principal Capital II, LLC (“B. Riley”) of up to 20,242,805 shares (the “B. Riley Shares”) of common stock, par value $0.0001 per share, of the Company (the “Common Stock”), that the Company may elect, in its sole discretion, to issue and sell to B. Riley, from time to time from and after the Commencement Date as defined in that certain common stock purchase agreement, dated as of July 14, 2025, by and between the Company and B. Riley (the “Purchase Agreement”), (ii) by B. Riley of 83,353 shares of Common Stock that the Company issued to B. Riley on July 15, 2025, pursuant to the Purchase Agreement (the “Commitment Shares”), and (iii) by Cantor Fitzgerald & Co. (“Cantor” and, together with B. Riley, the “Selling Stockholders”) of 769,231 shares of Common Stock (the “Cantor Shares”, and together with the B. Riley Shares and Commitment Shares, the “Shares”) that the Company issued to Cantor in a private placement on July 15, 2025, pursuant to that certain letter agreement, dated April 11, 2025, by and between the Company and Cantor. This opinion is being furnished in connection with the requirements of Item 601(b)(5) of Regulation S-K under the Act, and no opinion is expressed herein as to any matter pertaining to the contents of the Registration Statement or related prospectus or prospectus supplement (collectively, the “Prospectus”), other than as expressly stated herein with respect to the offer and sale of the Shares.

As such counsel, we have examined such matters of fact and questions of law as we have considered appropriate for purposes of this letter. With your consent, we have relied upon certificates and other assurances of officers of the Company and others as to factual matters without having independently verified such factual matters. We are opining herein as to the General Corporation Law of the State of Delaware (the “DGCL”), and we express no opinion with respect to any other laws.

August 1, 2025

Page 2

Subject to the foregoing and the other matters set forth herein, it is our opinion that, as of the date hereof:

1. When the B. Riley Shares shall have been duly registered on the books of the transfer agent and registrar therefor in the name or on behalf of B. Riley, and have been issued by the Company against payment therefor (not less than par value) in the circumstances contemplated by the Registration Statement and the Purchase Agreement, the issuance and sale of the B. Riley Shares will have been duly authorized by all necessary corporate action of the Company, and the B. Riley Shares will be validly issued, fully paid and nonassessable. In rendering the foregoing opinion, we have assumed that certain terms of the B. Riley Shares to be issued by the Company from time to time will be authorized and approved by the Company’s board of directors (the “Board”) or one or more committees thereof established by the Board or other person or body designated by the Board having the authority to issue and sell the B. Riley Shares pursuant to the Purchase Agreement in accordance with the DGCL, the third amended and restated certificate of incorporation and the amended and restated bylaws of the Company and certain resolutions of the Board and one or more committees thereof.

2. The Commitment Shares and the Cantor Shares have been duly authorized by all necessary corporate action of the Company and are validly issued, fully paid and nonassessable.

In rendering the opinion in paragraph 1 above, we have assumed that (i) the Company complied or will comply with all applicable notice requirements regarding uncertificated shares provided in the DGCL and (ii) upon the issuance of any of the Shares, the total number of shares of Common Stock issued and outstanding will not exceed the total number of shares of Common Stock that the Company is then authorized to issue under its amended and restated certificate of incorporation.

This opinion is for your benefit in connection with the Registration Statement and may be relied upon by you and by persons entitled to rely upon it pursuant to the applicable provisions of the Act. We consent to your filing this opinion as an exhibit to the Registration Statement and to the reference to our firm in the Prospectus under the heading “Legal Matters.” In giving such consent, we do not thereby admit that we are in the category of persons whose consent is required under Section 7 of the Act or the rules and regulations of the Commission thereunder.

Sincerely,

/s/ Latham & Watkins LLP