Exhibit 5.1

[Letterhead of Gibson, Dunn & Crutcher LLP]

December 3, 2018

Atmos Energy Corporation

1800 Three Lincoln Centre

5430 LBJ Freeway

Dallas, Texas 75240

Registration Statement on Form S-3 (File No. 333-228342)

Ladies and Gentlemen:

We have examined the Registration Statement on Form S-3, File No. 333-228342, (the “Registration Statement”), of Atmos Energy Corporation, a corporation incorporated under the laws of Texas and Virginia (the “Company”), filed with the Securities and Exchange Commission (the “Commission”) pursuant to the Securities Act of 1933, as amended (the “Securities Act”), in connection with the offering by the Company of up to 8,059,300 shares of the Company’s common stock, no par value per share (the “Shares”). The Shares will be issued pursuant to (i) that certain Underwriting Agreement dated as of November 28, 2018 (the “Underwriting Agreement”) among the Company and the Underwriters named therein, (ii) the forward sale agreements, each dated November 28, 2018 (collectively, the “Initial Forward Sale Agreements”), between the Company and each of Goldman Sachs & Co. LLC and Bank of America, N.A. (the “Forward Purchasers”), and (ii) the additional forward sale agreements, each dated November 29, 2018 (together with the Initial Forward Sale Agreements and the Underwriting Agreement, the “Transaction Documents”), between the Company and each of the Forward Purchasers.

In arriving at the opinion expressed below, we have examined originals, or copies certified or otherwise identified to our satisfaction as being true and complete copies of the originals, of specimen Common Stock certificates and such other documents, corporate records, certificates of officers of the Company and of public officials and other instruments as we have deemed necessary or advisable to enable us to render the opinions set forth below. In our examination, we have assumed without independent investigation the genuineness of all signatures, the legal capacity and competency of all natural persons, the authenticity of all documents submitted to us as originals and the conformity to original documents of all documents submitted to us as copies.

December 3, 2018

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Based upon the foregoing, and subject to the assumptions, exceptions, qualifications and limitations set forth herein, we are of the opinion that the Shares, when issued against payment therefor in accordance with the Transaction Documents, will be validly issued, fully paid and non-assessable.

The opinions expressed above are subject to the following additional exceptions, qualifications, limitations and assumptions:

A.    The effectiveness of the Registration Statement under the Securities Act will not have been terminated or rescinded.

B.    We render no opinion herein as to matters involving any laws other than the Texas For-Profit Corporation Law. This opinion is limited to the effect of the current state of the Texas For-Profit Corporation Law and the facts as they currently exist. We express no opinion regarding any federal or state laws or regulations related to the regulation of utilities. We assume no obligation to revise or supplement this opinion in the event of future changes in such laws or the interpretations thereof or such facts.

C.    We note that the Company is incorporated in the State of Texas and in the Commonwealth of Virginia and that you are receiving an opinion of Virginia counsel as to matters relating to Virginia law.

We consent to the filing of this opinion as an exhibit to the Registration Statement, and we further consent to the use of our name under the caption “Legal Matters” in the Registration Statement and the prospectus that forms a part thereof. In giving these consents, we do not thereby admit that we are within the category of persons whose consent is required under Section 7 of the Securities Act or the Rules and Regulations of the Commission.

Very truly yours,

/s/ Gibson, Dunn & Crutcher LLP