Down, who has played 28 ODIs and 13 T20Is, last represented New Zealand in an ODI against Bangladesh in December 2022.
The 2024-25 contracting period begins on August 1, with the players having until June 17 to accept the offer.
New Zealand women’s head coach Ben Sawyer said: “We’ve landed on a strong list of 17 names that we think are going to play an important part over the next 12 months… A big part of the selection process this year was looking at who could take part in the 2025 ODI World Cup.”
New Zealand Women central contract offers for 2024-25
Suzie Bates, Eden Carson, Sophie Devine, Lauren Down, Izzy Gaze, Maddy Green, Brooke Halliday, Polly Inglis, Hayley Jensen, Fran Jonas, Jess Kerr, Amelia Kerr, Rosemary Mair, Molly Penfold, Georgia Plimmer, Hannah Rowe and Lea Tahuhu