MetService Meteorologist Peter Little said heavy rain brought by the system could lead to flooding in some areas.
"Periods of rain and gales are likely over northern and central New Zealand this week as a rainmaker moves eastwards across the Tasman Sea.
"Heavy rain is possible in northern and western regions, which has the potential to cause flooding. People should stay up to date with their forecasts and potentially severe weather warnings."
He said the arrival of the nasty weather is expected to be signalled by the presence of high cloud and the weather system is forecast to stick around until Saturday.
Little said the sub-tropical system was expected to cause significant variability in temperatures across the country.
"There will be a large spread in temperatures from north to south by the end of the week. On Friday maximum temperatures in the low twenties are forecast for northern parts of the country being affected by the sub-tropical weather system, while single-digit highs will be common over the southern half of the South Island," explains Little.
Meanwhile, ski fields in South Canterbury will welcome another snow dump as the sub-tropical system collides with a cold front, leading to significant snowfall in inland parts of Canterbury and the Kaikōura Ranges on Friday.
The forecast snowfall could have an impact on families travelling around the South Island for the start of the July school holidays, Little said.