Southwest Rail will run additional services between Windsor and Eton Riverside and Waterloo. It will also resume running services back to London in the early hours of Monday morning.
All rail work between London and Windsor has been halted.
Govia Thameslink Railway, which operates the Gatwick Express, Southern and Thameslink, also said it would run “more wagons than usual” on some of its services.
How will the London Underground be affected?
The entire London Underground network, including night services, will operate as usual over the weekend.
St James’ Park Underground Station will be the only one closed on Saturday, while Hyde Park Corner will be open to tourists only.
However, there may be temporary closures at the stations depending on the number of tourists.
TfL has warned that Westminster, Green Park, Charing Cross, Embankment, Victoria, Hyde Park Corner, Knightsbridge, Leicester Square, Piccadilly Circus, Temple and Marble Arch stations, will be especially busy.