"Any thunderstorms that occur will bring brief heavy rain, small hail, and squally wind gusts of 80-90km/h," the MetService reported.
Taranaki, Waitomo and Taumarunui may also see thunderstorms during the afternoon. potentially continuing into the night.
For the South Island, there is a moderate risk of thunderstorms from the west of the Tasman District to Fiordland including the adjacent Southern Alps, the MetService says.
There is also a moderate risk of thunderstorms for North Otago and eastern parts of Canterbury during the afternoon and evening as a southerly wind change moves northwards, with a lower thunderstorm risk for inland parts of Otago, Canterbury and the Kaikōura Coast.
MetService meteorologist Alwyn Bakker said this was due to a trough of low pressure that moved eastward over the country yesterday and would continue today, bringing showery conditions in its wake.
It will also bring cold temperatures as it makes its way over the higher level of the South Island.
"The cooling effect will be less noticeable at ground level, but the resulting atmospheric instability makes thunderstorms more likely, and snow is expected to 300-400m in the south on Tuesday," Bakker said.
As the week progresses, frosty conditions will continue to put a damper on spring for southern and central parts of the North Island, dusting Mount Taranaki and parts of the central plateau with a layer of snow.