SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

Schedule 13D

Under the Securities Exchange Act of 1934

(Amendment No.     )*

(Name of Issuer)

(Title of Class of Securities)

(CUSIP Number)

Copies to:

(Name, Address and Telephone Number of Person Authorized to Receive Notices and Communications)

(Date of Event which Requires Filing of this Statement)

If the filing person has previously filed a statement on Schedule 13G to report the acquisition that is the subject of this Schedule 13D, and is filing this schedule because of §§ 240.13d-1(e), 240.13d-1(f) or 204.13d-1(g), check the following box.  ¨

NOTE: Schedules filed in paper format shall include a signed original and five copies of the schedule, including all exhibits. See Rule 13d-7 for other parties to whom copies are to be sent.

The information required on the remainder of this cover page shall not be deemed to be “filed” for the purpose of Section 18 of the Securities Exchange Act of 1934 (“Act”) or otherwise subject to the liabilities of that section of the Act but shall be subject to all other provisions of the Act (however, see the Notes).

This Schedule 13D relates to the common units representing limited partner interests (“Common Units”) of Mid-Con Energy Partners, LP (the “Company”) whose principal executive offices are located at 2431 E. 61st Street, Suite 850, Tulsa, Oklahoma 74136.

This statement is filed by Yorktown Energy Partners VIII, L.P., a Delaware limited partnership (“Yorktown”), Yorktown VIII Company LP, a Delaware limited partnership (“Yorktown Company”), and Yorktown VIII Associates LLC, a Delaware limited liability company (“Yorktown Associates”). The principal office and business address of Yorktown, Yorktown Company and Yorktown Associates is 410 Park Avenue, 19th Floor, New York, New York 10022. The principal business of Yorktown is investing in equity securities of energy companies. The principal business of Yorktown Company is managing Yorktown. The principal business of Yorktown Associates is managing Yorktown Company.

Yorktown, Yorktown Company and Yorktown Associates have not, during the last five years, been convicted in a criminal proceeding (excluding traffic violations or similar misdemeanors).

Yorktown, Yorktown Company and Yorktown Associates have not, during the last five years, been a party to a civil proceeding of a judicial or administrative body of competent jurisdiction and as a result of such proceeding was or is subject to a judgment, decree or final order enjoining future violations of, or prohibiting or mandating activities subject to, federal or state securities laws or finding any violation with respect to such laws.

Yorktown received 3,941,136 Common Units as partial consideration in exchange for all of its ownership interest in Mid-Con Energy II, LLC (“Mid-Con II”) in connection with the merger of Mid-Con II with and into Mid-Con Energy Properties, LLC, a wholly-owned subsidiary of the Company, upon the closing of the IPO. The initial public offering price for Common Units in connection with the IPO was $18.00 per common unit.

Yorktown acquired its 3,941,136 shares of Common Stock for investment purposes. As of the date hereof, Yorktown, Yorktown Company and Yorktown Associates have not formulated any specific plans or proposals which relate to or would result in: (a) the acquisition by any person of additional securities of the Company or the disposition of securities of the Company; (b) an extraordinary corporate transaction, such as a merger, reorganization or liquidation involving the Company or any of its subsidiaries; (c) a sale or transfer of a material amount of assets of the Company or any of its subsidiaries; (d) any change in the present board of directors or management of the Company, including any plans or proposals to change the number or term of directors or to fill any existing vacancies on the board of the Company; (e) any material change in the present capitalization or dividend policy of the Company; (f) any other material change in the Company’s business or corporate structure; (g) changes in the Company’s charter, bylaws or instruments corresponding thereto or other actions which may impede the acquisition of control of the Company by any person; (h) causing a class of securities of the Company to be delisted from a national securities exchange or to cease to be authorized to be quoted in an inter-dealer quotation system of a registered national securities association; (i) causing a class of equity securities of the Company to become eligible for termination of registration pursuant to Section 12(g)(4) of the Securities Exchange Act of 1934, as amended; or (j) any action similar to any of those enumerated above.

None.

Exhibit 1 — Joint Filing Agreement dated December 30, 2011

SIGNATURES

After reasonable inquiry and to the best of my knowledge and belief, I certify that the information set forth in this statement is true, complete and correct.

Date: December 30, 2011

EXHIBIT 1

JOINT FILING AGREEMENT

In accordance with Rule 13d-1(k) promulgated under the Securities Exchange Act of 1934, as amended, the undersigned persons hereby agree to the joint filing on behalf of each of them of a statement on Schedule 13D (including amendments thereto) with respect to the common units representing limited partner interests in MID-CON ENERGY PARTNERS, LP and further agree that this Joint Filing Agreement be included as an Exhibit to such joint filing. In evidence thereof each of the undersigned, being duly authorized, hereby execute this Agreement on the date set forth below.

Date: December 30, 2011