There are delays of up to 30 minutes on First Transpennine Express services between Edinburgh Waverley and Carlisle due to flooding between Lockerbie and Carlisle.
Trains have resumed between Lockerbie and Carlisle, but delays are expected until around 3pm.
There are also delays on Virgin Trains between Glasgow Central and Carlisle, and between Edinburgh Waverley and Carlisle due to flooding.
Tickets are being accepted on East Coast, ScotRail and Northern Rail services.
More top news
Leo Houlding is the first person to climb the 1,200m Mirror Wall in Greenland. He battled Arctic conditions to scale it with a team of five.
DR Collin, a fish trading company based in the Scottish Borders, says delays exporting its goods via Calais are costing it thousands.
Find out where the funding will be spent, who's providing it, and how it's supposed to benefit the local community.