Side roads and pavements became hazardous due to ice while a thick layer of frost has developed on cold surfaces, including cars.
The Met Office's yellow weather warning, which covers large swathes of the UK, was put in place yesterday (Tuesday) and warns people of the risk of ice and the dangers it poses.
The warning lasts until 11am today (Wednesday) and covers North, East, West and South Yorkshire.
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The Met Office warning says: “Ice will form in places later on Tuesday afternoon and overnight into Wednesday, especially where wintry showers leave surfaces wet.
"Accumulations of several centimetres are likely in places, mainly above 200 metres."
The Snake Pass is closed in both directions between A6013 (Ladybower Reservoir) and Hurst Road (Royal Oak Inn).
It has been closed since the early hours of Tuesday morning.
There is no indication when it will reopen as conditions have been icy overnight.