ScotRail made the announcement on social media, writing: “Trains will be stopping much earlier than normal today, due to #StormDudley. Most last services will depart between 14:00-15:30, please check when your last train departs by clicking below.
Storm Dudley is to hit northern areas of the UK hard later this week, and Glasgow is set to take the brunt of it.
The Met Office has issued an amber warning for strong winds across the city and much of the south and south west of Scotland.
The warning is in place from 6pm on Wednesday evening until 9am on Thursday morning.
Storm Dudley will be immediately followed by Storm Eunice later this week.