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The party said Kiwis have been priced out of the market by the Government's inaction on housing.
Co-leader Metiria Turei said Mr Key was "painfully out of touch" if he thought low and middle income Aucklanders would ever be able to afford to buy a home when the price of a house was going up by $1000 a week, and the mortgage repayment on a median priced house was $830 a week.
"The National Government's ideological opposition to public investment in housing is holding back Auckland and driving up inequality which is hurting young New Zealanders and the economy."
Ms Turei said a state home building programme could house those who needed a safe, warm state home, and provide a path to ownership for those priced out of the market now.
"Bricks and mortar, not empty pie-in-the-sky hopes, are what's needed in Auckland," she said.