Officers were called to Falkirk Grahamston train station following 'concern for the wellbeing of a man'.
Police Scotland received a call at 8.50am today and were in attendance at the station until around 1pm.
A man, 21, has since been taken to hospital.
There were reports that a male was seen with a knife and that he had made his way to a car park outside the Morrisons supermarket.
It is understood customers were being kept inside as specialist teams tried to engage with the man.
Rail services between the Capital and Glasgow were heavily affected by the incident.
ScotRail tweeted: " The police have dealt with the incident and have now cleared the station. Arrangements are now being made to reinstate services, but delays and cancellations may still be experienced."
Services between Edinburgh and Glasgow, via Cumbernauld, and Edinburgh to Dunblane were affected.
Travellers were advised to visit the ScotRail Twitter feed for alternative arrangements, which included shuttle buses and services using FirstBus East.
Chief Inspector Damian Armstrong, Local Area Commander for Falkirk, said: "The safety of the public and our officers, as well as the man, was at the forefront of our response.
"We thank the public for their co-operation as local and specialist officers worked to bring this to a safe and peaceful conclusion.
"I want to reassure people that this is being treated as an isolated incident and there is no ongoing risk to the local community."