National Rail have said that the delays were caused after a person was hit by a train at Wimbledon this morning.
Although lines have reopened, there are still delays of up to 40 minutes
There are also aterations and cancellations to trains between London Waterloo and Staines as crew are out of place from earlier disruption.
As well as the delays, trains between London Waterloo and Salisbury / Exeter are currently starting from and terminating at Basingstoke.
More top news
The latest weather for the east with Philippa
The latest weather for the west with Philippa
Paddington station had to be evacuated due to a fire alert this morning, causing disruption for passengers