The Bureau of Meteorology issued an amber wind warning at 6 p.m., as strong gale-force winds battered the county throughout the day.
Hundreds of homes across York's north and south were without power today as a result of the storm.
Twelve flood warnings have been issued across parts of North and East Yorkshire as a result of heavy rain.
These include the riverside area of York from Rendal Bridge to Millennium Bridge.
Flooding in Kingstays on Sunday afternoon (Image: Dylan Connell) Flood warnings, meaning flooding is possible, have also been issued for Osbaldwick Beck and Tangal Beck.
Flooding forced people to leave their homes overnight yesterday and today in Kirkby Mills and Keldholm, near Kirkby Moorside.
Seven firefighters, Red Cross emergency responders and North Yorkshire Council were called to help residents in the village.
Flooding at Kirkby Mills on Sunday (Image: Supplied) North Yorkshire Fire and Rescue Service said a “large number” of residents “who were forced to evacuate due to flooding” had been moved to local evacuation centres.
The city council and emergency planning department set up sandbags and assisted people at the scene.
Flooding at Kirkby Mills on Saturday night (Image: Supplied) Emergency services continued today to pump water out of houses in the village.
The village of Merton, between Kirkby Moorside and Pickering, was completely impassable and under water this morning.
People were being urged not to attempt to drive through the village because of the risk of flooding flooding onto land that is fighting to keep it from flooding.
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A control center has been set up on Kirkby Moorside to help people affected by flooding.
North Yorkshire Council staff are stationed in the Moorside Rooms on Church Street to provide advice and support.
This venue is also available for those who want to escape the bad weather and enjoy a hot drink.
Elsewhere in town, the King's Head pub in the Market Place has also opened its doors to those affected.
York's Christmas market is busy despite the storm
Strong gales and heavy rain prevented people from attending Christmas markets in York today.
Traders said they were happy to be back at the Parliament Street market after having to close their shops for a day yesterday.
“Everyone wanted to stay warm. Despite the wind and rain, it was very crowded,” said James Ross, who worked at a stall at York Cocoa Works, where hot chocolate was selling well.
He said closing the market yesterday was the right thing to do.
“(The closure) was good for everyone's safety,” he said.
York Christmas Market is busy on Sunday despite Storm Dollar (Image: Dylan Connell) Louis Murray, owner of Scarborough-based Bold Brew Coffee, was also enjoying a busy day at the market.
“The weather was nice today. Even though it's raining, people are still coming out,” he said. “We're trying to keep everything tied down so it doesn't all blow over.”
He acknowledged that yesterday's trading was “a bit of a blow” as it occurred on what is believed to be the market's busiest day of the season.
Louis Murray (left), owner of Scarborough-based Bold Brew Coffee (Image: Dylan Connell) Louis said he expected to make around £3,000 yesterday and had all his coffee roasted and ready for the day.
The market continued to be busy with tourists visiting York for the festive holidays.
Four women called Emma, Laura, Joe and Paula had traveled from Stockton to York and Leeds to market as part of their Christmas holidays.
Emma, Laura, Joe and Paula traveled from Stockton to York Christmas Market (Image: Dylan Connell) Emma said she was planning to go to the Leeds Christmas Market yesterday, but it was also closed for the day due to the storm.
Nevertheless, they could be enjoyed indoors.
“We had a great time, lots of festive cheer and plenty of food,” Emma said.