Behind the front, cold southerly air was expected to move onto the country.
"There is still some uncertainty regarding how cold this air will be, particularly for the east of the South Island on Tuesday," said MetService meteorologist Claire Flynn.
"The southerly winds could also be quite strong, especially about coastal areas."
The front would move away on Wednesday, to be replaced by an easing west to southwesterly flow.
That meant showers would clear in the east, but would linger in northern, western and far southern parts of the country.
"This pattern should persist into Thursday. However, another front approaches the Far South on Friday," Ms Flynn said.