Duff & Phelps Select MLP & Midstream Energy Fund (DSE) N-CSR Certified annual shareholder report (management investment company)

Certification Pursuant to Rule30a-2(b) under the 1940 Act and

Section 906 of the Sarbanes-Oxley Act

I, George R. Aylward, President of Duff & Phelps Select MLP and Midstream Energy Fund Inc. (the “Registrant”), certify that:

1. The FormN-CSR of the Registrant (the “Report”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Registrant.

Date:    2/7/20	/s/ George R. Aylward
	George R. Aylward, President
	(principal executive officer)

I, W. Patrick Bradley, Executive Vice President, Chief Financial Officer and Treasurer of Duff & Phelps Select MLP and Midstream Energy Fund Inc. (the “Registrant”), certify that:

1. The FormN-CSR of the Registrant (the “Report”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Registrant.

Date:    2/7/20	/s/ W. Patrick Bradley
	W. Patrick Bradley, Executive Vice President,
	Chief Financial Officer and Treasurer
	(principal financial officer)