The food and shopping hub is projected to open late this year, joining office workers who have been filling the upper floors of the Geyser building since it opened in 2012.
Geyser was designed by renowned Kiwi architect Andrew Patterson and is the first building in the country to be awarded six stars by the New Zealand Green Building Council.
The building uses a third-less energy than the average office and half the water and lighting.
La Hood said the name the Rise was a reference to the precinct's location and the ethos of its vendors.
"[They are] rising up and standing tall as part of a community of conscious businesses that strive for social and environmental responsibility.
"We believe it is the only retail complex in the country that was conceived and built to meet [ethically aware consumers'] expectations."
The Rise has partnered with Conscious Consumers, a Wellington Charity that aims to create a sustainable marketplace.