There will be no further sleeper services before Christmas, in spite of this normally being an especially busy period.
Members of the RMT union voted to back the 48-hour strike in a dispute with operator Serco over defects on trains.
Serco has insisted that any faults on its rolling stock have been repaired, or will be repaired.
Talks held at the conciliation service Acas on Monday failed to resolve the dispute.
The strike has forced the operator to cancel trains and refund passengers.
'Complete contempt'
The RMT union has said its members are concerned about a range of faults on the trains, which Serco has failed to fix.
“We are appealing to the doctors to rescind 
