Questions are being raised about why KiwiBuild's CEO might have left the role after five months.
He reportedly left at the end of November.
Housing Minister Phil Twyford declined to comment when approached by NZME, which broke the story on Saturday. He directed questions to the Ministry of Housing and Urban Development.
The ministry confirmed Stephen Barclay is away from the office, but would not comment if he would be coming back.
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A spokesperson for Jacinda Ardern said it was an operational issue.
National's housing spokesperson Judith Collins says that's "nonsense" and the public deserves answers.
"We always wonder if there are personal issues, in which case being told it's a personal issue would be enough explanation."
Ms Collins says if it's an issue around the policy's promises, we should be told.
"This is a big Government policy. There was a lot of fanfare when Mr Barclay was hired as the head of KiwiBuild."
Stephen Barclay assumed the role in May.
KiwiBuild's aim is to build 100,000 affordable homes for first-home buyers in the next 10 years.