Eurostar expected to handle more than 120,000 passengers over the weekend Credit: Anthony Devlin/PA Wire/Press Association Images
The Association of Train Operating Companies (Atoc) anticipated about 6.5 million rail journeys will be made over the bank holiday weekend.
An Atoc spokesman said: "The vast majority of people travelling by train this bank holiday will be unaffected by improvement work."
Channel Tunnel high-speed train company Eurostar said it expected to handle more than 120,000 passengers over the weekend - 10% more than over the Diamond Jubilee bank holiday period last year which was the first weekend in June.
Tomorrow will be Eurostar's busiest day of the holiday period.
Bosses at Gatwick said more than 790,000 passengers would be passing through the West Sussex airport between bank holiday Monday and Sunday June 2.
Among popular destinations for those flying from Gatwick are Spain, Portugal, the Balearic Islands, Turkey and the south of France.
Top city breaks include Dublin, Belfast and Amsterdam.
A Paris bound Eurostar train at St Pancras - stopping at Ashford in Kent Credit: Anthony Devlin/PA Wire
Carrying an increased number of American, Brazilian and Australian travellers, Eurostar saw its operating profit rise from £25.0 million in 2011 to £52.3 million in 2012.
In total, the company carried 9.9 million passengers last year compared with 9.7 million in 2011.
Passenger numbers were strong after the Olympics, with traffic up 5% in the last three months of last year compared with the October-December 2011 period.
While business passenger number remained flat last year, the leisure travel market rose 3%. Non-EU passenger numbers grew 8% in 2012.
Eurostar chief executive Nicolas Petrovic said: "Despite the challenging economic climate, we delivered a strong performance in 2012.
All Eurostar services were cancelled yesterday and the disruption is continuing today. Credit: Sean Dempsey/PA Wire
Eurostar services from St. Pancras are still suffering problems because of wintry weather conditions in northern France and Belgium. The company has cancelled some trains and others could be delayed by up to two hours. They also say that the amended service will continue tomorrow.
They are asking customers who do not have a confirmed ticket for a train that is running to stay away from their stations. Details of the services which are running can be found on the Eurostar website.
Eurostar has said that it expects to run an amended service tomorrow after bad weather in France and Belgium meant its trains has to be cancelled today. Journey times tomorrow will be between 40 and 60 minutes longer than usual.
Eurostar has cancelled its services between London and the continent because of severe weather in Northern France and Belgium. It says it will not be able to run any trains today.
There are delays of up to one hour on the Eurostar at St Pancras International, at Ebbsfleet International and at Ashford International due to speed restrictions resulting from poor weather conditions.
Eurostar trains disrupted by power cable fault Credit: ITN
TRAVEL: Thousands of travellers faced disruption after Eurostar services were delayed by an overhead power cable fault in France. The first scheduled service to Paris ran as normal at 5.40am, but four later services have already been cancelled.Eurostar expects to run a normal service from lunchtime