EX-99.906CERT

CERTIFICATIONS PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT

Certification Pursuant to 18 U.S.C. 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002; provided by the Chief Executive Officer and Chief Financial Officer, based on each such officer’s knowledge and belief.

The undersigned officers of Nuveen Multi-Market Income Fund (the “Registrant”), certify that, to the best of each such officer’s knowledge and belief:

1. The Form N-CSR of the Registrant for the period ended December 31, 2017 (the “Report”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; 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: March 8, 2018

/s/ Cedric H. Antosiewicz

Chief Administrative Officer

(principal executive officer)

/s/ Stephen D. Foy

Vice President and Controller

(principal financial officer)