The Highways Agency has warned drivers to take care tonight as up to 15cm of snow is expected to fall.
Earlier the he Met Office upgraded its snow warning for Calderdale to amber and said that heavy rain at lunchtime is expected to turn to snow this evening which will become heavy into tomorrow morning.
A yellow warning for snow from 12am tonight now becomes amber between 3am and 6am tomorrow.
The snow could continue to fall until tomorrow afternoon.
There is also a yellow warning for ice tomorrow between 3am and 6am.
The Met Office says people should be prepared for disruption, particularly to transport, with trans-Pennine routes at particular risk.
Temperatures are expected to plummet tonight, with the strong winds making it feel as low as -7 degrees celsius.
Met Office forecasters based in the Highways Agency’s National Traffic Operations Centre say amounts of snow will vary, but in places there is the potential for 10 to 15 cm of snow, especially on higher ground, and drifting is possible in the strong westerly wind.
The Highways Agency is advising drivers to take extra care this evening and overnight, and it has issued an amber alert for an area covering Greater Manchester, Yorkshire and the north east Midlands from the early hours of Tuesday morning.
Steve Crosthwaite, head of the Highways Agency’s National Traffic Operations Centre said: “We are doing everything we can to ensure our roads are affected as little as possible by the adverse weather but we would urge road users to play their part by checking weather forecasts and traffic conditions before they set out and drive with extra care.”