Southern is now running a limited service along its network following the significant damage and flooding caused by the storm last night (Monday December 23).
The train operator said both it and Network Rail had been working hard to restart train services.
It is now operating limited services on the following routes, which may be subject to further delay at East Croydon after a major cable fire at the station:
Victoria to East Croydon via Norbury
Mitcham Junction route
London Bridge to Caterham via Forest Hill
Clapham Jn to Shepherds Bush
London Bridge to Beckenham Jn
Main Line services:
Brighton to Haywards Heath
Brighton to Eastbourne
Brighton to Newhaven Marine
Brighton to Barnham
Bognor to Barnham
Victoria to Gatwick
Redhill to Three Bridges shuttle
Southern said it was continuing to check other lines of route and will recommence services on these as soon as possible.
Passengers should check their service prior to travel at nationalrail.co.uk.