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

Sarbanes-Oxley Act

I, John C. Leonard, Chief Executive Officer/Principal Executive Officer of Macquarie Global Infrastructure Total Return Fund Inc. (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:    August 6, 2020	/s/ John C. Leonard
	John C. Leonard
	Chief Executive Officer/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 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:    August 6, 2020	/s/ Daniel V. Geatens
	Daniel V. Geatens,
	Treasurer, Chief Financial Officer/Principal Financial Officer