Certification Pursuant to Rule 30a-2(b) under the 1940 Act and Section 906 of the Sarbanes-Oxley Act

I, George R. Aylward, President and Chief Executive Officer of Virtus Dividend, Interest & Premium Strategy Fund (the “Registrant”), certify that:

1. The Form N-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: October 5, 2023	/s/ George R. Aylward
	George R. Aylward, President and Chief Executive Officer
	(principal executive officer)

I, W. Patrick Bradley, Executive Vice President, Chief Financial Officer, and Treasurer of Virtus Dividend, Interest & Premium Strategy Fund (the “Registrant”), certify that:

1. The Form N-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: October 5, 2023	/s/ W. Patrick Bradley
	W. Patrick Bradley, Executive Vice President, Chief Financial Officer, and Treasurer
	(principal financial officer)