The RCMP and Saint John Police have both advised drivers to avoid Route 1.
The Fredericton Police have also urged motorists to "drive with caution" because of the snowstorm.
The New Brunswick Emergency Measures Organization has also advised against driving until the weather conditions get better.
"Heavy snowfall is likely to lead to hazardous driving conditions," the provincial agency stated on Friday.
"Strong winds and blowing snow can also lead to reduced visibility on roads and highways. Motorists are encouraged to postpone unnecessary travel during and immediately after a storm, until conditions improve."
Environment Canada has issued a weather warning for all of New Brunswick, except the Mount Carleton area.
The weather agency is forecasting between 15 to 35 centimetres of snow across the province on Saturday.
"This system will bring snow and increasing winds to New Brunswick today and tonight," according to Environment Canada’s latest weather warning.
"Snow at times heavy will spread to most of the province today, and increasing northerly winds will give frequent blowing snow and significantly reduced visibilities today and tonight."
Saturday’s snow will transform into frigid temperatures in western New Brunswick on Sunday.
There are extreme cold warnings for areas stretching from Woodstock to Edmundston and the weather agency is forecasting the temperature will feel like –35 on Sunday morning.