A test will also be carried out on Friday to ensure safety on the lines.
As a result there will be no services in areas affected by the snow for peak rush hour.
A limited service is operating on the following routes:
Glasgow Queen Street to Edinburgh via Falkirk High
Calling at: Bishopbriggs, Lenzie, Croy, Falkirk High, Polmont, Linlithgow, Edinburgh Park and Haymarket
These will depart Glasgow on the hour and half hour, and will depart Edinburgh at 15 and 45 minutes past the hour
Aberdeen to Inverness
Aberdeen to Dundee
Inverness to Kyle of Lochalsh
Inverness to Perth