Yellow and amber wind and snow warnings are in place across the whole of Scotland on Saturday.
There are already reports of significant snowfall in parts of Fife and Perthshire, with the warnings in place at least until 6pm.
The weather is set to remain unsettled over the next few days, after Storm Gertrude battered the country on Friday with gusts of up to 144mph.
On the amber warnings, the Met Office said: “Frequent snow showers are expected overnight and well into Saturday, heavy at times, with some more prolonged spells of snow likely.
“Five to 10cm snowfall is likely to accumulate quite widely, with over 15cm in places above 300 metres. Ice is also likely to form on untreated surfaces.
“In addition, gusts of 50-60mph are likely at times, occasionally 70mph across the far north and west of the amber area and over mountains. This will lead to blizzard conditions at times and drifting of snow.
“Power supplies may be disrupted by ice accretion and also by lightning strikes, with hail also likely.
“Be prepared for transport disruption, difficult driving conditions and disruption to power supplies.”
Tayside Division of Police Scotland is asking drivers to take extra care.
A spokesman said: “We are advising drivers in Tayside to drive with extra caution following snow fall overnight.
“All routes have been affected making for hazardous driving conditions.
“There have already been a number of collisions reported in the last hour, particularly on the A90, and we would ask that drivers:Slow down and leave plenty of room to stop. You should allow at least three times more space than usual between you and the car in front. Brake gently to avoid skidding. If your wheels lock, ease off the brakes. Turn on your lights to increase your visibility to other motorists and always clear all ice and snow off the car windows before setting out. Drive slowly on snow in the highest gear possible. Do not assume your vehicle can handle all conditions. Even four-wheel drive vehicles can encounter trouble on winter roads. Visibility is often reduced because of fog, rain, spray, hail or snow. Remember to ensure that you use dipped headlights in periods of reduced visibility. Fog lights can only be used when visibility is seriously reduced to less than 100 metres but must be switched off if visibility improves.The warnings come a day after winds of more than 100mph from Storm Gertrude disrupted transport, brought down power lines and damaged buildings.
It left a trail of damage in Tayside and Fife and a rare red Met Office alert was in place for Orkney and Shetland during some of Friday amid wild conditions in the Northern Isles.
Scottish Hydro Electric Power Distribution restored supplies to 14,000 customers over the course of Friday, but said its engineers had been hampered by flooding and the high winds.
The Scottish Environment Protection Agency (Sepa) has dozens of flood warnings in place across the country.