"Winds will drop and skies will clear so it looks like it will be about 2C and we are going to see some frosts.
"There's not going to be much wind. It's not going to mix up much cold air so all the cold air will settle down low and in the valleys."
Mr Zachar said there had been a lot of black ice on roads around the North Island, which made driving dangerous.
A low-pressure system was expected to head into New Zealand on Tuesday and bring with it slightly warmer weather and more wind.
Snow created havoc around the North Island this week, including areas not used to experiencing such conditions.
About 900 homes in and around Gisborne lost power and Civil Defence contacted motorists who spent the night in hotels and at a marae in the rural East Coast, advising them to stay put and to wait for updates on the roads.
Stranded motorists also spent the night in other people's houses after roads around Gisborne closed as snow carpeted the region in a thick white blanket.
Several highways were closed, including SH1, SH4, and SH2 at Gisborne and Wairoa.
A large high will be crossing New Zealand until Monday.
A few lingering showers may affect coastal parts of Hawke's Bay and Gisborne until Monday, but mainly dry weather is still expected there.
By early next week, a warm sub-tropical flow moves in - bringing a much warmer week to the entire nation.
What do you think?
Have your say below or email editor@bayofplentytimes.co.nz, go to our facebook page, text 021 241 4568 BOP (message) or write to Private Bag 12002.
Response may be published.