Heavy downpours are set to batter the region on Wednesday, the Met Office warns, with flooding possible.
There are 11 urgent flood warnings in place across the region.
The amber weather warning, the most severe for rain, is in place across Yorkshire until Thursday at midday.
The storm has caused concern for people living in areas devastated by the floods at the end of 2019, who say they are preparing for the worst to happen again.
A major incident has been declared in South Yorkshire ahead of the expected heavy rainfall.
However, residents of Fishlake, South Yorkshire – which was cut off by the floodwaters just over a year ago, said they are much better prepared this time with many having sandbags dropped outside their properties on Tuesday.
North Yorkshire County Council said more than 15,000 sandbags were at the ready around the county.
Meanwhile, Public Health England (PHE) issued a cold weather alert from “first thing” on Thursday until 9am on January 25 for the North East, North West and Yorkshire and the Humber.
The agency said the risk of flooding will amplify the public health risks of the severe cold weather.
Here is the full Met Office weather forecast for Yorkshire:
Today: A rather mild start to the day with outbreaks of rain and drizzle. Rain will be heavy and persistent at times, especially over higher ground. Turning colder across the north of the region through the afternoon. Maximum temperature 11C.
Tonight: Becoming colder for all overnight with periods of heavy rain continuing, with the risk of sleet and hill snow through the early hours. Windy by the end of the night. Minimum temperature 1C.
Thursday: Outbreaks of rain, sleet and hill snow gradually clearing through Thursday morning. Thereafter, sunny spells and scattered wintry showers. Very windy and bitterly cold with gales over hills and coasts. Maximum temperature 5C.
Outlook for Friday to Sunday: Cold and windy on Friday with sunshine and scattered wintry showers. Less windy over the weekend with some sunshine and a few wintry showers. Widespread frost overnight.