People who have been fully vaccinated in the EU or US will not need to isolate when coming to England from an amber list country.
The change will come into force at 04:00 BST on Monday.
Currently, only people who received their jabs in the UK can avoid quarantine when arriving from amber list countries, except France.
The government said the rule change would help to reunite family and friends whose loved ones live abroad.
Transport Secretary Grant Shapps said it would apply to people who have been fully vaccinated with a jab approved by the EU or US.
Travellers will still need to take a Covid test pre-departure and a PCR test on the second day after they arrive.
It come as a further 27,734 cases were reported in the UK, bringing to an end a seven-day run of falling case numbers. Wednesday’s case figure was, however, down significantly from a week ago, when 44,104 cases were reported.
Another 91 deaths within 28 days of a positive test were also reported.
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Tougher rules will continue to be in place for France, which is on the amber list but still requires travellers to quarantine when they return, even if they are fully vaccinated.
Mr Shapps said this advice would reviewed at “the end of next week” as part of the rolling assessment of travel rules.
As well as reopening to the EU and the US, international cruises will also be allowed to restart from England.
It is not yet known whether other UK nations will adopt the same changes. Earlier, Scottish First Minister Nicola Sturgeon said talks on travel were taking place between the four nations.
Welsh First Minister Mark Drakeford said Wales would reflect the changes, subject to more information about how approved jabs would be verified.
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