People in England can start thinking about booking foreign holidays again this summer, Transport Secretary Grant Shapps has said.
But he said the cost of the Covid tests required needed to be driven down, amid criticism from the travel industry.
Mr Shapps has also given more detail on the traffic light system which will see countries graded on their risk.
Passengers will have to take the tests before leaving and on returning - even from low-risk "green" countries.
There will be a watch list for countries that could go from green to amber.
Announcing the findings of the Global Travel Taskforce set up by the government to examine how leisure travel could be reopened safely after lockdown, Mr Shapps said foreign holidays would resume on 17 May at the earliest.
He said for the first time in months he was not advising against booking foreign trips.
He told BBC Radio 4's Today programme: "This is the first time I'm able to come on and say I'm not advising against booking foreign holidays.
"Yes, you'll want to check what the situation is in two or three weeks' time when that list - the green, amber, red, is produced - you'll want to know that you've got good holiday insurance and flexible flights and the rest of it.
"But for the first time I think there is light at the end of the tunnel and we'll be able to restart international travel, including cruises by the way, in a safe and secure way, knowing about the vaccinations, everything we know about the disease this year, and of course that abundance of caution - having the tests in place."
The traffic light system will grade foreign destinations as being:
Mr Shapps told BBC Breakfast the use of PCR tests - those needing to be sent to a lab - enabled scientists to detect potential variants of concern.
But he said he was "concerned" about the cost of the tests, adding that the government was committed to driving down the price of these by working with the private sector.
The transport secretary said the government was also looking at the possibility of providing travellers with pre-departure tests.
The government has not yet said which countries will be green, amber or red - but said it would do so by early May.
Mr Shapps said countries would be categorised based on level of infections and vaccinations, variants of concern and the quality of their genetic sequencing.
He said this list would be kept under constant review and that he was hopeful European countries would be upgraded as their vaccination rates improve.
Nearly 40 countries are currently on the UK government's current red list of countries from which travel is banned, except for British and Irish nationals and those with residence rights in the UK.
The rules will be reviewed at the end of June to see whether any measures can be rolled back, the government said.
Shadow home secretary Nick Thomas-Symonds said the government had not outlined the traffic light system in detail and criticised the release of the plans while the House of Commons was not sitting.
He told BBC Breakfast: "The government has spoken about factors like vaccination rates, infection rates, the position with variants and also about the level of genomic sequencing. But I've no idea what the levels of each of those are for the government to place countries into, whether it's the green category, amber or red."
The first ministers of Scotland and Wales have both already argued that 17 May will be too early for foreign holidays to resume.
Northern Ireland has not yet announced its plans, but its chief medical officer has said it would be "premature" to book a foreign summer trip.
In other developments:
At the moment, almost anyone seeking to travel to England must first take a coronavirus test before departure and then two tests when they arrive, bought through a private provider. Children under 11 are exempt.
Consumer group Which? estimated that each PCR test - which is just one of the tests needed - could cost about £120 per person.
However, the government said it would work with airlines, travel firms and the test providers to see whether prices can be reduced. That could involve cheaper tests, or the government providing the pre-departure tests.
Today's report is not the grand reopening many in the travel industry wanted.
There is real worry, particularly among lower cost carriers, that around £100 per person for a test will dissuade travellers from booking, with many paying more for it than for their flights.
But there are suggestions that the government has tried to address some of the concerns too.
The introduction of a green watch list, to flag any countries potentially about to move from green to amber, is an attempt to avoid some of last year's confusion, as people rushed back to the UK before countries required quarantine.
Nothing is guaranteed yet, but the government now says it will confirm whether or not international travel will restart on 17 May early next month.
How early is the next question.
The government's plans have been met with mixed reaction from the travel industry.
Thursday's daily government figures showed a further 53 people had died with coronavirus within 28 days of a positive test, while another 3,030 confirmed cases were reported.