On Tuesday, a problem with the overhead power supply and a broken down LeShuttle train blocked all routes, causing disruption for thousands trying to get away for New Year’s Eve.
Some Eurostar and LeShuttle services resumed on Tuesday evening after one of the tunnel’s two lines reopened, but delays continued.
Getlink, who run the Channel Tunnel, said work is continuing through the night to fix the power issue.
It said it hopes it will return to normal overnight.
Earlier on Tuesday, Eurostar urged its customers “to rebook their journey for another day if possible, with free exchanges available”.
“We also advise customers not to come to our stations if their trains have been already been cancelled.”
By midday on Tuesday, at least a dozen Eurostar services between the UK, France, Belgium and the Netherlands had been cancelled.
The rail operator apologised and said passengers could rearrange their plans free of charge or can cancel their booking and get a refund or an e-voucher.
Passengers told the BBC how they had been left stranded and looking for alternative routes to get to their destination.
Two American tourists spent hundreds of pounds to reach Paris on Wednesday after their Eurostar service was cancelled from London St Pancras International.
Haley Adams, 38, and Hannah Hagar, 35, paid $580 (£430) for flights to the French capital to celebrate Hannah’s 36th birthday there.
The pair had their Eurostar tickets refunded but said they will have to pay for an extra night at a hotel in London and cannot get a refund from the hotel they were going to stay at in Paris tonight.
“There’s been a lot of queuing,” Adams said. “We have been here for five hours.”
