Macquarie Global Infrastructure Total Return Fund (MGU) N-CSRS Certified semi-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, Brad Frishberg, Chief Executive Officer/Principal Executive Officer of Macquarie Global Infrastructure Total Return 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: July 31, 2019	/s/ Brad Frishberg
	Brad Frishberg,
	(principal executive officer)

I, Daniel V. Geatens, Treasurer, Chief Financial Officer/Principal Financial Officer of Macquarie Global Infrastructure Total Return 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: July 31, 2019	/s/ Daniel V. Geatens
	Daniel V. Geatens,
	Treasurer, Chief Financial Officer/Principal Financial Officer