They are the only popular summer short-haul destinations on the Government’s new green list for travel.
Meanwhile Turkey, the Maldives and Nepal have been added to the red list.
People returning from those countries after 4am on Wednesday will be required to stay in a quarantine hotel for 11 nights at a cost of £1,750 for solo travellers.
The DfT also announced that from May 17, people who have had both doses of a coronavirus vaccine will be able to demonstrate their status on the NHS app currently used to book medical appointments and order repeat prescriptions.
People who do not have the app – which is different from the Covid-19 app – will be able to request an NHS letter from that date.
The green list also consists of Australia, New Zealand, Singapore, Brunei, Iceland and the Faroe Islands and the Falklands.
This is in addition to the remote territories of the Falklands, South Georgia and the South Sandwich Islands, Saint Helena, Ascension Island and Tristan da Cunha.
Transport Secretary Grant Shapps said the removal of international travel restrictions was “necessarily cautious” and that the Government must “make absolutely sure” the countries the UK reconnects with are safe.
He said: “We in this country have managed to construct a fortress against Covid. But the disease is still prevalent in other parts of the world, most notably at the moment in India.
“In fact, more new cases of Covid have been diagnosed around the world in the last seven days than at any time since the pandemic began.”
He added: “That’s why today’s announcement, removing the stay in the UK restrictions from May 17, is necessarily cautious.
“We must make absolutely sure that the countries we reconnect with are safe, that their infection rates are low and their vaccination rates are high.
“It means making sure we are not incubating the most dangerous variants that they’re not and that they have safe and secure surveillance in place.”
The full 'green list' is:
South Georgia and the South Sandwich Islands
St Helena, Tristan de Cunha, Ascension Island