Northern Rail has issued a warning 'not to travel' on several routes including the Wharfedale Line due to Storm Éowyn.
Reports on social media suggest power lines were damaged by a fallen tree close to Bingley.
There will no train services or replacement bus services between Ilkley and Leeds or Bradford Forster Square until Saturday morning.
A spokesperson said:
"We advise customers to avoid travelling where possible on Friday 24 January and Saturday 25 January, due to high winds and rain likely to impact train travel.
"If you do choose to travel make sure you check before travelling as trains may be cancelled at very short notice with onward connections not possible.
"Try not to rely on the last services of the day, as they may be cancelled, and bad weather may restrict road transport. "For some routes, we are advising do not travel. This means there are no trains or replacement bus services available."
Further information is available on the Northern website.