From the Metservice

Monday
North Island, becoming fine in western areas south of Auckland, but a few showers spreading up the east coast. South Island, mostly fine or becoming fine, but showers over Fiordland.
Tuesday
North Island, fine or becoming fine in most places, but cloudy periods from Taranaki down to Wellington. South Island, rain in Fiordland and a few showers further north, fine in the east.
Wednesday
North Island, cloud increasing in the west with a few showers, fine in the east. South Island, rain in the west, mostly fine in the east.

http://www.metservice.com

From Weather Watch

Quiet weather will be settling in for the next several days.
A large ridge of high pressure will slowly move across the ditch…and then across the country as we head through next week.  That means that we are heading into a fairly settled pattern.
With a few exceptions, of course.
A weak frontal boundary will drift on shore in the deep south tomorrow.  That could spread some light showers across Southland and Otago.  Anything that does end up developing will be quite light.
On the other side of the country, the northern tip of the North Island could see some light showers early on Monday.  Those should be gone before the afternoon.  Late in the day, the chance for showers will head south to Auckland.  Again, anything that develops should be very light.
On Tuesday, that ridge of high pressure will take firm control of our weather.  Dry and settled conditions should move in…and stick around right through Thursday.
As we head into next weekend, the high will start to move off.  The change in airflow that will take place in response to that shift could leave the western and southern parts of the South Island a bit wet as we go through the last few days of autumn.

weatherwatch.co.nz