The shutdown of the Atol-protected firm affects cruise lines Swan Hellenic and Voyages of Discovery, and has resulted in nearly 150 people losing their jobs.
The Civil Aviation Authority will help to repatriate the 400 people who are currently abroad, but future bookings for 13,000 others have been cancelled.
All holidaymakers will receive refunds.
Administrators Grant Thornton will manage the affairs of All Leisure Holidays, along with three other travel companies based at a site in Market Harborough.
A total of 250 people worked there, with 50 employed by All Leisure Holidays. All 50 have been made redundant along with virtually all of the company's 100 maritime staff.
The other 200 workers at the Market Harborough site have kept their jobs after the other firms were sold to a subsidiary of Canadian tour operator G Adventures.
Grant Thornton's Eddie Williams said: "Whilst I am extremely pleased to have concluded a sale of the business which safeguards the holidays and bookings for over 13,500 tours and passengers and preserves 200 jobs, I am very disappointed that we have no alternative other than to close the remaining ALH operations.
"The cruise operations have been significantly loss-making over a number of years and the ongoing cost of funding these operations by the tours operations has created significant cash issues for the entire group, which has ultimately led to the administration of all businesses."
Andy Cohen, head of Atol at the CAA, said: "We understand this will be concerning news for anyone who has booked to travel with the company.
"However, the Atol scheme exists for exactly this kind of situation and we are making immediate arrangements so all Atol-protected customers can claim full refunds as quickly as possible."

The "Spy Booth" artwork, which depicts three figures "snooping" on a telephone box, appeared in Hewlett Road in April.
Hekmat Kaveh, who wants to buy it, has applied for the work, satellite dish and phone booth to be included in the property's Grade II* listed status.
He said: "It's a way of securing it and making it a criminal offence to remove without listed building consent."
The piece appeared five months ago and is about three miles from government listening post GCHQ.
Since then campaigners have been fighting to keep the artwork in place on the corner of Fairview Road and Hewlett Road.
"The application includes the phone booth and the working satellite dish to make sure these two things are not removed without listed building consent," said Mr Kaveh, who is hoping to buy the house and turn it into a "Spy Museum".
"But you can't put a working satellite dish on a listed building, so to get around the council's rules I've said we will disconnect it."
If the application is approved, it would mean any unauthorised work affecting the listed mural would be a criminal offence.
In June, the owners of the house claimed the artwork had been sold and workmen arrived to remove it.
But Cheltenham Borough Council issued a temporary stop notice preventing further removal work from taking place on the Grade II* listed building.
A spokesman for the council said: "As yet, we haven't received an application for listed building consent for the Cheltenham Banksy but we will be happy to discuss details if and when this is received."

The 32-year-old became Wales' first medallist at London 2012 when he won silver in the lightweight men's four after they missed out on gold to South Africa by less than a second.
Bartley, from Wrexham, was part of the men's four at Rio, but the team missed out on the medals, finishing seventh.
In 2010, Bartley won gold with the men's lightweight four at the World Rowing Championships in New Zealand.
"I've had quite a long career. I've been involved in the sport internationally for more than 10 years," he told BBC Radio Wales.
"I've got more than I ever thought that I would out of the sport and I thought it was the right time for me to call it a day."
Cruise company All Leisure Holidays has stopped trading with immediate effect and called in administrators, leaving hundreds of holidaymakers stranded.
[NEXT_CONCEPT]
A Banksy mural on the wall of a Cheltenham house could be listed under a bid being submitted to the council.
[NEXT_CONCEPT]
Olympic silver medallist rower Chris Bartley has announced his retirement.