The Government says it has the option of ordering a Royal Commission of Inquiry into the state of the country's banks, but only if more issues emerge "down the track".

Prime Minister Jacinda Ardern spoke with Mike Hosking on Newstalk ZB this morning, where the PM was asked if the Government was "close, potentially, to pulling the trigger on an inquiry" after Finance Minister Grant Robertson put them on notice during a conference call on Friday.

"He was meeting face to face and he actually had a conversation that we haven't had a Royal Commission in New Zealand but that's not to say there isn't a job to be done for banks to maintain their social licence.

"And I absolutely agree with him, we've both been saying the same things.

"The reason we don't have a Royal Commission isn't because there were questions to be answered, it's because we found other ways to move a bit more quickly on some of the issues that have been seen in Australia.

"We don't have quite the same extent of issues but that's not to say we don't have problems."

When asked if an inquiry would be possible if there were more revelations, Ardern said there was already work being done "but if further down the track we had a whole range of issues emerging again we would of course have to keep that under review".

"The message Grant was sending was basically, banks need to step up."

Ardern said New Zealand's banking system was "safe and secure, however that's not to say that we should ever be complacent".

She also said the Government is doing what it can to address inequalities in the health system.

A Waitangi Tribunal report has recommended the Government establish a separate Maori health agency to address Maori health inequalities.

Ardern ays the Government is still considering the idea, and that the government is committed to addressing all forms of heath inequality.

'We have inequalities and we should do something about it. We see different outcomes dependant on different DHBs, sometimes rural versus urban."

As for Oranga Tamariki and whether the current four inquiries being carried out on the organisation were "ridiculous", Ardern said the whole point of having an Ombudsman and the Children's Commissioner "is that you don't tell them what to do".

"They're our oversight and so they've determined to do this. I'm sure, probably, there could have been a way that it might have been more consolidated but I'm never going to tell an oversight agency what to do. It's not right."