People have been turning around and abandoning journeys at Manor Road, Scalby Road and Cloughton Bank with traffic at a standstill.
The A64 is shut in both directions due to a crash at East Heslerton at Ryedale.
Reports are coming in of the road being blocked on High Street at the St Hilda's Street junction in Sherburn, because of an accident
A crash has also been reported at Staxton.
An empty school bus got stuck close to a house after trying turn around at Sleights, near Whitby.
Motorists are being advised to allow extra time for journeys.
Scalby School has also shut today due to the weather.
The Met Office has issued yellow warnings for ice and high wind today, with snow also falling in many places overnight.