Passengers are still being advised not to travel by First Capital Connect as work on the tracks continues today.
A spokesman for First Capital Connect said: “Following last night’s storms, we have had many trees on the track and damage to overhead power lines.
“Network Rail is working hard to repair the damage and carry out safety checks along the route. Some lines will remain closed for the rest of the day, including the route from London to Luton, and others remain severely disrupted.
“We are still advising our passengers not to travel. Tickets for travel today will be valid tomorrow and passengers can also get a full refund from point of purchase.
“We are able to run a very limited service between the following stations only:
London St Pancras International - Brighton (calling at all stations) and return
London Blackfriars - Mitcham Junction - Sutton - Wimbledon - London Blackfriars (calling at all stations) in one direction only
Bedford - Luton (there is no onward transport between Luton and London)
Cambridge - King’s Lynn
“We have redeployed headquarters staff to our stations to help passengers and we have ticket acceptance with London Buses and London Underground.
“We have emailed over 11,000 registered customers, updated all our station screens and website and we are broadcasting to 46,000 followers on Twitter.
“If passengers do need to travel, they should check the latest situation on our website and consider using other modes of transport, although the road network is similarly disrupted. We are very sorry for the disruption caused.”