Services were being moved to alternative routes, such as via Hamilton/Cathcart and via Whifflet, in a bid to limit delays.
A Network Rail spokesperson told Scotland News: “Our engineers are responding to an incident near Newton where significant damage has been caused to overhead power lines.
“We’re working hard to assess the damage and put plans in place to repair the railway. In the meantime we are working to divert trains around the area and urge passengers to check how their journey may be affected by the incident.”
ScotRail advised passengers to make alternative arrangements for their services between Glasgow and Lanarkshire.
A spokesperson said tickets would be accepted for other transport.
They stated: “Ticket acceptance remains in place with Whitelaws buses, between Larkhall and Motherwell via Hamilton, and on the McGills number three service.
“We have secured a limited number of bus replacements, which we are also using to help keep passengers moving.
“Due to very limited replacement road transport being secured, passengers are advised to consider making their own arrangements.”
