Reserve Bank Governor Adrian Orr said the RBNZ welcomed the new direction.
"The Minister's direction is in tune with our recent advice to the Government in which we detailed the many influences on house prices, including the actions of the Reserve Bank," Orr said.
The Reserve Bank's objectives and mandate remain the same, which is to maintain price stability, support full employment and promote a sound and stable financial system.
Orr said the adjustments would increase the focus on understanding and communicating the impact of the Bank's decisions on house price sustainability.
The Bank will have to take into account the Government's objective to support more sustainable house prices, including by dampening investor demand for existing housing stock to help improve affordability for first-home buyers.
The kiwi dollar rose around one third of a US cent to 74.55 cents, to its highest level since August 2017.
Bond yields and swap rates also rose.
The announcement was "the first step" as the Government considers broader advice about how to cool the housing market, Robertson said.
"We know the rapid increases we have seen in recent months are not sustainable, which has meant many first-home buyers are struggling to access the market," he said.
"We'll be making further announcements in the coming weeks on other policy responses."
Following the RBNZ's request that the Government allow it to make use of tools such as debt-to-income ratio limits, the Minister has asked for further advice on how the Bank might implement such tools.
"I have made clear that in principle I would want these to apply only to investors," Robertson said.
"It's important that any potential restrictions do not disproportionately affect first-home buyers and low-income borrowers."
Yesterday it left the official cash rate on hold at a record low of 0.25 per cent and warned monetary policy stimulus would be required for some time yet.