Parts of Northern Ireland, Wales and areas of the Pennines also saw snow.
Cold temperatures are expected to last throughout the weekend.
People are being warned to check the forecast and road conditions before they travel.
An amber "be prepared" warning, which includes winds gusting up to 90mph in some areas, has been issued for north and north east Scotland.
Dozens of workers have been taken off a North Sea platform amid fears of huge waves due to the approaching Storm Caroline. Some rural communities face the prospect of being cut off.
John West, Met Office meteorologist, said: "We saw a fairly consistent stream of snow showers overnight, and there will be a constant feed throughout the day and into Friday".
Many parts of the United Kingdom woke up to snow this morning and more snowfall has been forecast for Scotland, Northern Ireland, Wales, parts of northern England and the Midlands.
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Freezing temperatures are expected to cause further disruption across swathes of the United Kingdom and could leave some rural communities cut off, forecasters are warning.
Forecasters warned that the snow would become more widespread throughout the day.
Forecasters at the Met Office said 10cm of snow looked likely within the warning area, with 15-20cm in places.
Heaviest snow showers will be confined to northeast Scotland as Saturday draws to a close. "Possible travel delays on roads".
The Met Office has yellow "be aware" warnings in place.
However, their weather charts show snow is expected in Wales, the West Midlands, and Northern Ireland from around 6am. Road, rail, air and ferry services may be affected, with longer journey times and cancellations possible.
Council gritting teams are on standby to cover roads across the country, while train services have been suspended, cancelled or delayed, and ferry services faced disruption.