For Northland, most of Auckland, Coromandel Peninsula and the west of Bay of Plenty the risk of thunderstorms was moderate for a time in the morning.
"If these thunderstorms occur, they are likely to be accompanied by localised heavy rain with intensities of 10 to 20mm per hour and, for Northland strong wind gusts of 90km/h," MetService said.
Looking ahead, a low hanging over the country would move eastward tomorrow bringing strong winds to the east coast, and brief heavy rain to parts of central New Zealand.
There was low confidence of warning amounts of rain about Wellington, coastal Marlborough including the Sounds and also Wairoa on Tuesday.
There was also a low confidence of southerly winds reaching gale strength in exposed parts of coastal Marlborough, Wellington and Wairarapa.
A cold front should move over the South Island from the southwest on Wednesday and over the North Island on Thursday, followed by southwesterly winds.
A broad trough was then forecast to approach the South Island on Friday, bringing rain to the west coast and strong north to northwesterly winds to the south of the island.
"There is low confidence that north to northwesterly winds may reach severe gale strength in Fiordland on Friday," MetService said.
Your weather
Whangārei: Early morning rain, then showers. Possible heavy and thundery falls with hail. Brisk northwesterly. High 19C Low 12C
Auckland: Morning rain, then showers. Possible heavy and thundery falls with hail. Brisk northwesterly. Morning 18C Low 12C
Tauranga: Often cloudy. Showers from mid-morning, possibly heavy. Northerlies. High 18C Low 12C
Whanganui: Often cloudy. Showers from afternoon, possibly heavy. Northeast turning southerly afternoon. High 19C Low 10C
Napier: Often cloudy. Showers from afternoon, possibly heavy, clearing evening as northeasterlies turn northwest. High 20C Low 9C
Wellington: Often cloudy. A few showers from afternoon. Northerlies turning southerly afternoon. High 17C Low 10C
Christchurch: Often cloudy. Showers, easing for a time in the afternoon. Southerlies developing by evening. High 14C Low 8C
Dunedin: Periods of rain. Southerlies developing evening. High 13C Low 7C
Source: MetService