First Trust Energy Infrastructure Fund Declares its Monthly Common Share Distribution of $0.0625 Per Share for May

First Trust Energy Infrastructure Fund (the "Fund") (NYSE: FIF) has declared the Fund’s regularly scheduled monthly common share distribution in the amount of $0.0625 per share payable on May 17, 2021, to shareholders of record as of May 4, 2021. The ex-dividend date is expected to be May 3, 2021. The monthly distribution information for the Fund appears below.

First Trust Energy Infrastructure Fund (FIF):
Distribution per share:		$0.0625
Distribution Rate based on the April 19, 2021 NAV of $14.38:		5.22%
Distribution Rate based on the April 19, 2021 closing market price of $12.67:		5.92%

The Fund's Board of Trustees has approved a managed distribution policy for the Fund (the "Plan") in reliance on exemptive relief received from the Securities and Exchange Commission which permits the Fund to make periodic distributions of long-term capital gains as frequently as monthly each tax year. Under the Plan, the Fund intends to continue to pay its recurring monthly distribution in the amount of $0.0625 per share that reflects the distributable cash flow of the Fund. A portion of this monthly distribution may include long-term capital gains. This may result in a reduction of the long-term capital gain distribution necessary at year end by distributing long-term capital gains throughout the year. The annual distribution rate is independent of the Fund's performance during any particular period. Accordingly, you should not draw any conclusions about the Fund's investment performance from the amount of any distribution or from the terms of the Plan.

The distribution may consist of net investment income earned by the Fund, net short-term and long-term capital gains and/or tax-deferred return of capital. Tax-deferred return of capital, if any, is primarily due to the tax treatment of cash distributions made by master-limited partnerships ("MLPs") in which the Fund invests. The final determination of the source of tax status of all 2021 distributions will be made after the end of 2021 and will be provided on Form 1099-DIV.

The Fund is a non-diversified, closed-end management investment company that seeks to provide a high level of total return with an emphasis on current distributions paid to shareholders. The Fund seeks to achieve its investment objectives by investing primarily in securities of companies engaged in the energy infrastructure sector. These companies principally include publicly-traded MLPs and limited liability companies taxed as partnerships, MLP affiliates, YieldCos, pipeline companies, utilities, and other companies that derive at least 50% of their revenues from operating or providing services in support of infrastructure assets such as pipelines, power transmission and petroleum and natural gas storage in the petroleum, natural gas and power generation industries (collectively, "Energy Infrastructure Companies"). To generate additional income, the Fund expects to write (or sell) covered call options on up to 35% of the managed assets held in the Fund's portfolio.

First Trust Advisors L.P. ("FTA") is a federally registered investment advisor and serves as the Fund's investment advisor. FTA and its affiliate First Trust Portfolios L.P. ("FTP"), a FINRA registered broker-dealer, are privately-held companies that provide a variety of investment services. FTA has collective assets under management or supervision of approximately $186 billion as of March 31, 2021 through unit investment trusts, exchange-traded funds, closed-end funds, mutual funds and separate managed accounts. FTA is the supervisor of the First Trust unit investment trusts, while FTP is the sponsor. FTP is also a distributor of mutual fund shares and exchange-traded fund creation units. FTA and FTP are based in Wheaton, Illinois.

Energy Income Partners, LLC ("EIP") serves as the Fund's investment sub-advisor and provides advisory services to a number of investment companies and partnerships for the purpose of investing in MLPs and other energy infrastructure securities. EIP is one of the early investment advisors specializing in this area. As of March 31, 2021, EIP managed or supervised approximately $4.1 billion in client assets.

Past performance is no assurance of future results. Investment return and market value of an investment in the Fund will fluctuate. Shares, when sold, may be worth more or less than their original cost. There can be no assurance that the Fund’s investment objectives will be achieved. The Fund may not be appropriate for all investors.

Principal Risk Factors: Securities held by a fund, as well as shares of a fund itself, are subject to market fluctuations caused by factors such as general economic conditions, political events, regulatory or market developments, changes in interest rates and perceived trends in securities prices. Shares of a fund could decline in value or underperform other investments as a result of the risk of loss associated with these market fluctuations. In addition, local, regional or global events such as war, acts of terrorism, spread of infectious diseases or other public health issues, recessions, or other events could have a significant negative impact on a fund and its investments. Such events may affect certain geographic regions, countries, sectors and industries more significantly than others. The outbreak of the respiratory disease designated as COVID-19 in December 2019 has caused significant volatility and declines in global financial markets, which have caused losses for investors. The COVID-19 pandemic may last for an extended period of time and will continue to impact the economy for the foreseeable future.

The Fund is subject to risks, including the fact that it is a non-diversified closed-end management investment company.

Because the Fund is concentrated in securities issued by energy infrastructure companies, it will be more susceptible to adverse economic or regulatory occurrences affecting that industry, including high interest costs, high leverage costs, the effects of economic slowdown, surplus capacity, i