For decades, there have been calls for the station to be reopened, particularly because of the massive and continuing growth of the village.
And a railway station was seen as a vital part of the development of the Law Hospital site.
Plans for 600 houses on the site were lodged by a consortium of builders after the hospital closed in May 2001, but the development has never materialised because of the recession a decade ago.
The four councillors for Clydesdale West were pleased to be told by South Lanarkshire Council that the authority is committed to carrying out a preliminary report on the viability of reopening Law station in the next financial year.
That would be the first step towards the potential reopening of Law train station to passengers.
The report will look into the viability of the station in the village, and the potential to reintroduce a station.
Councillor Lynsey Hamilton said: “South Lanarkshire’s transport strategy for 2013 to 2023 identifies Law train station reopening as a priority for the council.
“The four local councillors are therefore delighted that the local authority has made the commitment to undertake this initial feasibility study into this in the next financial year.
“This is the start of a long process .
“However, it is a step in the right direction.”