First Great Western (FGW) is providing passengers with a 25 percent discount on rail fares if they travel through the affected areas.
The Dawlish train line is currently being fixed which could take a minimum of six weeks to repair, according to Network Rail after storm damage.
FGW are providing commuters who are travelling through the affected area between Newton Abbot and Exeter St Davids with a discount on all ticket types.
The discount should come into force by Monday morning according to James Davis, a spokesman for FGW.
Mr Davis said: “When there’s not a train running through Dawlish then we have to make amends to these passengers and they will have extended journey times.
“We are still honouring advance tickets- they can now catch any train and aren’t limited to that specific time they were due to travel on.
“The discount is something as a company we discussed with the Department for Transport.”
The discount applies to all tickets including any time tickets, off-peak, super off-peak and season tickets, according to Mr Davis.
He said: “We will contact the season ticket holders to let them know about the rebate.”
Currently, there is an alternative bus service running between Newton Abbot and Exeter St Davids.