The tour also includes the first men's international match to be hosted in Nelson, a one-day international at Saxton Oval on January 8.
The Dunedin test, the first of a three-match series, will start on Tuesday, December 3.
The other two tests are at Wellington's Basin Reserve from December 11 to December 15, and Hamilton's Seddon Park from December 19-23.
There are five one-day matches and the tour will conclude with two twenty20 fixtures in mid-January.
Tour itinerary: Dec. 3-7 1st test, Dunedin Dec. 11-15 2nd test, Wellington Dec. 19-23 3rd test, Hamilton Dec. 26 1st ODI, Auckland Dec. 29 2nd ODI, Napier Jan. 1 3rd ODI, Queenstown Jan. 4 4th ODI, Nelson Jan. 8 5th ODI, Hamilton Jan. 11 1st Twenty20, Auckland Jan. 15 2nd Twenty20, Wellington