Drivers warned of icy roads after heavy snowfall
Drivers have been warned of hazardous conditions after heavy snowfall and continuing freezing temperatures.
More than 10cm (4in) of snow has fallen across upland parts of the county with depths reaching more than 20cm (8in) in some places.
A Met Office amber warning of snow for western parts of the county remains in force until 21:00 GMT.
Earlier more than 50 schools were closed and there was disruption on both road and rail routes.
The county council said gritting teams would work around the clock to ensure main routes were ploughed and well salted.
The authority and North Yorkshire Police have advised drivers take great care when driving, especially on minor, untreated routes.
The Met Office has issued a yellow warning of ice for the region for Tuesday.
BBC Weather forecaster, Paul Hudson, said while more snow was expected on the North York Moors on Monday evening the snow had "fizzled" out and the "worst" was over.
He added: "The emphasis now changes to widespread ice on untreated surfaces."
He also warned the cold weather would continue until the weekend.
East Coast trains said the snow and ice had caused disruption to all its services, with 30-minute delays.
On the roads, the A169 road between Pickering and Whitby has been closed and police have advised the A171 between Scarborough and Whitby is only passable by people driving 4x4 vehicles.
Harrogate Grammar School was one of more than 50 schools forced to close due to the weather.
Richard Sheriff, headteacher, said: "The Leeds buses couldn't run today, which is usually a good indicator of the situation.
"So if we were open today we'd provide a very poor service to our students because there wouldn't be many members of staff in, and it wouldn't be worth the risk to safety."
Wednesday's race meeting at Catterick racecourse has been abandoned following an inspection on Monday morning.
Clerk of the course Fiona Needham said: "It's not actually been that cold over the weekend but it's snowing again as we speak and it's not going to improve.
"Our next meeting is 1 February so let's hope things have improved by then."