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A question mark hangs over a core plank of KiwiBuild - with the Government refusing to guarantee its promise to build 100,000 houses over 10 years.
So far about 80 houses have been built.
At the time, he said the long-term 100,000 house target, announced in 2012, would stay.
But questioned in Parliament yesterday, neither Prime Minister Jacinda Ardern nor Mr Twyford would repeat that commitment, saying the public would have to wait for the outcome of the review in June.
"We are working through our KiwiBuild re-set. When we have completed that we will be making announcements in due course," Ms Ardern said.
Mr Twyford was asked yesterday whether he would drop the target.
"The target hasn't gone, we're working through the reset," he said, but refused to recommit to the target "because we haven't announced the results of the reset".
"It was really Labour's number one flagship promise," Mr Bridges told RNZ's Morning Report programme.
"It was the big bold thing they were delivering. I'm absolutely certain it is a broken promise and half way through their term it is gone."
Mr Bridges said if the target did go, Mr Twyford should resign.
"Something will need to happen to show that for their massive promises, that were a huge part of their campaign, just hasn't been met."