There is also possibility of snow accumulations reaching warning criteria above 400m in Fiordland, Southland, Clutha and Otago.
MetService meteorologist Amy Rossiter said that snowfall levels could potentially lower to 100m in Southland tomorrow night and early on Wednesday.
"Further up the South Island we have got snow to about 500m around the Canterbury High Country and Arthur's Pass regions, to 600m around the Tararua Ranges and the lower North island, and down to 500m in the central plateau, Tongariro region.
"It will be a very cold start in the morning, with a lot of places seeing snow or sleety showers."
West to south-west winds battering Auckland will strengthen over the next 24 hours, peaking tomorrow afternoon, but easing by midnight.
Road Snowfall Warnings are in place for Desert Rd (SH1), Rimutaka Hill Rd (SH2), Lewis Pass (SH7), Arthur's Pass (SH73), Porters Pass (SH73), Haast Pass (SH6), Lindis Pass (SH8), Crown Range Rd, Milford Rd (SH94) and the Dunedin to Waitati Highway (SH1).
A slip has also closed the main highway between the Bay of Plenty and Gisborne.
The NZ Transport Agency said that the road will remain closed until further notice.
Contractors are on site clearing the slip, and geotechnical engineers are currently assessing the stability of the cliff face.
Motorists can use SH35 as an alternative route, and can check the NZTA website for updates.