Arriva Trains Wales say that services between Shrewsbury and Holyhead are now running normally following earlier electrical supply problems in Shotton.
North Wales police are continuing to advise motorists driving in the area to take extra care.
They say they are continuing to monitor the situation with the weather on the roads.
The trunk roads are now mainly clear but there continues to be disruption on minor rural roads and B roads. Police are therefore warning motorists not to venture out on these routes unless it is absolutely necessary.
Chief Inspector Dan Tipton sais they are "liaising with colleagues in other agencies and are aware that gritters continue to work on the road network to ensure that the main roads remain open.”
“We are urging motorists not to travel rural roads unless it is absolutely essential. In the event that motorists do find themselves in difficulty while out we advise them to contact us or the other emergency services immediately.”
Stena Line says that the 15:10 ferry service between Dublin and Holyhead has been cancelled due to adverse weather conditions.
Other sailings on this route are subject to substantial delays.
Arriva Trains Wales are advising passengers should avoid travelling on services on the North Wales Coast Line between Chester and Holyhead.
They say there is severe disruption and that services are being canceled following the extreme weather.
The problems are being caused by a damaged overhead power cable in the Shotton area. Scottish Power are on their way to deal with the damaged power cable to assess the situation.
This problems are expected to continue for the remainder of today.
Trains are operating between Holyhead and Rhyl only, but with severe delays. There is a very limited rail replacement bus service between Rhyl and Chester with journeys taking around 90 minutes longer.
More information can be found on the Arriva Trains Wales website
Arriva Trains Wales says that there are no trains running between Llandudno Junction and Chester until further notice.
North Wales Police are advising motorists to take extreme care following adverse weather overnight.
They say there "has been significant snowfall in the Wrexham and the Flintshire areas which has and continues to cause significant disruption in the eastern area of the force. Additional police resources – suitable weather vehicles - have been deployed."
They say there is significant disruption on the the A548 at Oakenholt where it is currently closed and there is also disruption on the railway line. The Horseshoe pass is also currently closed
– Chief Inspector Dan Tipton, North Wales Police
Motorists in the counties of Wrexham and Flintshire are being urged to take extreme care on the roads, and if possible to travel only on main routes - avoiding travelling on all unclassified and minor roads.
A jacknifed lorry on the A483 has closed the road and is causing massive tail backs towards Chester
ITV News' cameraman Gerallt Jones took this picture on Wrexham road at Pontblyddyn near Mold. The road appears to be passable with care, with one direction blocked with snow.
There are delays of 60 minutes and cancellations on Arriva Trains Wales services between Holyhead and Crewe due to obstruction on the line between Flint and Shotton.
There is no current estimate for when a normal service will resume. Virgin Trains services are also affected