Health Minister Greg Hunt said Australians had responded "magnificently" and the way authorities had hoped as part of the bid to contain the spread of coronavirus.

Data for Easter Thursday, Good Friday and Easter Saturday showed movements were significantly down on previous years, in what is usually one of the busiest times for travel across the country. Data for Easter Sunday isn't available yet.

"That means that Australians are making a difference. They are saving lives and protecting lives with their own actions," Mr Hunt said.

Growth in new cases was now below 2 per cent a day, Mr Hunt said, meaning Australia was now consolidating on work to flatten the curve.

"That doesn't mean we're out of our challenge. There is still growth and there could, at any time, be outbreaks and spikes. But this is a cause for real hope and real aspiration."

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Despite the good news, it is still too early to say when social distancing measures could be eased, Mr Hunt said.

"What we want to do now is to, in particular, consolidate the containment.

"We want to work towards an effective eradication, but as the Chief Medical Officer actually said this morning, we can never guarantee that absolutely, but we want to work towards that effective eradication."

Politicians and advisers were "actively planning that road out" of restrictions, the Health minister said.

Any relaxations of those measures will depend on three elements, clear indication that case numbers are being suppressed in Australia, ensuring there is rapid response capability and contact tracing capability, and a planning for gradual steps out of the pandemic response.

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