Kayne Anderson Energy Infrastructure Fund, Inc.

717 Texas Avenue, Suite 2200

Houston, TX 77002

1-877-657-3863

PROXY STATEMENT

2024 ANNUAL MEETING OF STOCKHOLDERS

APRIL 3, 2024

This proxy statement is being sent to you by the Board of Directors of Kayne Anderson Energy Infrastructure Fund, Inc. (“KYN”), a Maryland corporation (the “Company”). The Board of Directors of the Company is asking you to complete and return the enclosed proxy card, permitting your votes to be cast at the Annual Meeting of Stockholders (the “Annual Meeting”) to be held on April 3, 2024, at 10:00 a.m. Central Time at the offices of Kayne Anderson, 717 Texas Avenue, Suite 2200, Houston, TX 77002.

Stockholders of record of the Company at the close of business on February 20, 2024 (the “Record Date”), are entitled to vote at the Annual Meeting. As a stockholder of the Company, you are entitled to one vote for each share of Common Stock and one vote for each share of Preferred Stock you hold on each matter on which holders of such shares are entitled to vote. This proxy statement and the enclosed proxy are first being mailed to stockholders on or about March 5, 2024.

Important notice regarding the availability of proxy materials for the 2024 Annual Meeting of Stockholders to be held on April 3, 2024: This proxy statement is available at https://kaynefunds.com/proxyinformation. The Company’s annual report can be accessed through Company’s website at www.kaynefunds.com, or on the website of the Securities and Exchange Commission (“SEC”) at www.sec.gov. To request a hard copy of these reports be mailed to you, free of charge, please contact the Company at 1-877-657-3863 or email cef@kayneanderson.com.

The Company is managed by KA Fund Advisors, LLC (“KAFA”), an affiliate of Kayne Anderson Capital Advisors, L.P. (“KACALP” and, together with its affiliates, “Kayne Anderson”). KAFA is registered as an investment adviser under the Investment Advisers Act of 1940, as amended. Kayne Anderson is a leading alternative investment management firm focused on real estate, credit, infrastructure, energy, and growth capital. With a team defined by an entreprenurial and resilient culture, Kayne Anderson’s investment philosophy is to pursure cash flow-oriented niche strategies where knowledge sourcing advantages enable us to deliver above average, risk-adjusted investment returns. As responsible stewards of capital, Kayne’s philosophy extends to promoting responsible investment practices and sustainable business practices to create long-term value for our investors. Kayne Anderson manages over $34 billion in assets (as of December 31, 2023) for institutional investors, family offices, high net

worth, and retail clients and employs over 330 professionals in five core offices across the United States. Kayne Anderson may be contacted at the address listed above.

This proxy statement sets forth the information that the Company’s stockholders should know in order to evaluate each of the following proposals. The following table presents a summary of the proposals and the classes of stockholders being solicited with respect to each proposal. Please refer to the discussion of each proposal in this proxy statement for information regarding votes required for the approval of each proposal.