"Due to an infrastructure problem on the high-speed line near London, we are forced to cancel some trains departing or ending in London", reads the Eurostar website.
The suspensions, which takes place on one of the busiest weekends of the year, will hold back thousands of passengers, reports the France-Presse agency.
According to the British agency PA, trains were canceled due to flooding in a tunnel in southern England.
The same agency says that cancellations should continue until the end of the day because heavy rains are forecast.