Heavy rain prevented an entire day's play on Thursday, with similar weather conditions 24 hours later forcing all singles matches to be postponed once more.
The quarter-finals and semi-finals will now be played on Saturday with the final taking place a day later.
Goerges beats Wozniacki to win third straight title in Auckland
Czech third seed Barbora Strycova will square off against Taiwan's Hsieh Su-wei in the first quarter-final, while German second seed Julia Goerges plays Polona Hercog of Slovenia in the revised schedule.
Top seed Caroline Wozniacki will meet American wildcard Sofia Kenin, while fourth seed Agnieszka Radwasnka faces American Sachia Vickery in the other quarter-final matches.
Rain washes out entire day's play at Auckland Classic
Impressive Wozniacki continues march in Auckland