Train operators LNER, Northern and TransPennine all reported some services had been affected by the weather, according to National Rail.
Northern Powergrid said its supply network had been “impacted” by Storm Isha and its teams were “working hard to restore power to customers” where it was safe to do so.
On its website, the firm said: “Due to the current severe weather conditions, we are unable to provide you with estimated restoration times.”
In North Yorkshire, five people were rescued by fire crews after their cars became trapped in flood water on Monday.
Four vehicles got stuck on the A684 between Leeming Bar and Northallerton at Morton on Swale, with emergency services called at around 05:00 GMT.
The Met Office’s amber weather warning has now ended, but the entire country is still covered by a yellow weather warning until 12:00 GMT, indicating that damage to property is possible.
A separate yellow weather warning is in place for the whole of the region from Tuesday at 16:00 GMT to 12:00 GMT on Wednesday.
