PM Boris Johnson said he will set out a "comprehensive plan" next week on how to restart the economy, reopen schools and help people travel to work following the coronavirus lockdown.
He said the UK was "past the peak" of the virus outbreak, but stressed the country must not "risk a second spike".
Mr Johnson said face masks will be "useful" as part of the strategy for coming out of lockdown.
Some 26,771 people have now died with the virus in the UK, a rise of 674.
The prime minister said that "we can now see the sunlight", but he insisted that to avoid the "disaster" of a second peak the UK must keep the R rate - the number of people to which one infected person will pass the virus - below one.
More than 81,000 coronavirus tests were carried out on Wednesday, still short of the Downing Street's target of 100,000 by the end of April. Mr Johnson insisted: "We're massively ramping up testing."
Transport Secretary Grant Shapps, told BBC One's Question Time that the government was "quite likely to get very close to or meet" the target when the figures for the final day of April are announced on Friday.
Labour leader Sir Keir Starmer welcomed the prime minister's commitment to outline a plan next week as "a step in the right direction".
The BBC's political editor Laura Kuenssberg asked at what level the reproduction rate should be before the government would be "comfortable easing restrictions".
The government's chief medical adviser, Prof Chris Whitty, replied: "We are absolutely confident that the wrong answer is anything over one."
He explained that as soon as the R rises above one you "restart exponential growth" and "sooner or later" the NHS would be at the risk of being overwhelmed. The current rate is thought to be between 0.6 and 0.9 across the country.
Mr Johnson said that keeping the reproduction rate down "is going to be absolutely vital to our recovery".
The government has set out five tests that must be met before lockdown restrictions can be eased, including:
- making sure the NHS can cope
- a "sustained and consistent" fall in the daily death rate
- rate of infection decreasing to "manageable levels"
- ensuring supply of tests and PPE can meet future demand
- and being confident any adjustments would not risk a second peak "that overwhelms the NHS"
The prime minister's claim that the UK is past the peak of the virus may surprise some given the big jump in deaths this week.
At the weekend it was announced 20,000 had died - and by Wednesday that had passed 26,000.
Those figures had been inflated by the retrospective inclusion of deaths in the community, mainly care homes, dating back to March.
And there is strong evidence from tracking hospital deaths - a sign of transmission in the general population - that the peak was actually seen on 8 April.
Since then, fatalities - when recorded by date of death - have been coming down.
In England the numbers being seen are half what they were then.
But it is, of course, a different story in care homes where the numbers are going up.
It is, effectively, two epidemics. One in the wider population that is coming under control and one in care homes that is raging.
Our correspondent Laura Kuenssberg also asked whether the economy "just has to wait" as the government continues with the lockdown in the UK.
The prime minister said it was "vital" to avoid a second peak "because that would really do economic damage", adding that the UK must "unlock the economy gradually" while also finding ways of continuing to suppress the disease.
Mr Johnson said he would set out details next week to explain how to get the economy moving, get children back into school and childcare, how people can travel to work and how to make life in the workplace safer.
He said dates and times of each individual measure would be driven "by where we are in the epidemic", and said the government was "being guided by the science".
"What you're going to get next week is really a road map, a menu of options," Mr Johnson said.
The prime minister highlighted a coronavirus vaccine being developed by the University of Oxford, which it is hoped could be available for limited use by the end of the year.
But Mr Johnson said "until this day comes [when a vaccine is ready], we are are going to have to beat this disease by our growing resolve and ingenuity".
Lockdown restrictions are due to be reviewed next week, on 7 May.
Mr Johnson also said face coverings will be "useful" as part of the strategy for coming out of lockdown "both for epidemiological reasons but also giving people confidence they can go back to work".
The Scottish government already recommends people use face coverings when in shops and on public transport.
Meanwhile, Mr Shapps told Question Time there was a "live discussion" within government about introducing new quarantine measures at airports for people coming into the country.
Speaking at the No 10 briefing for the first time since recovering from the virus, the prime minister said: "I'm not going to minimise the logistical problems we've faced in getting the right protective gear to the right people in the right place, both in the NHS and care homes.
"But what I can tell you is that everyone responsible for tackling these problems - whether in government, the NHS, Public Health England or local authorities - we are throwing everything at it, heart and soul, night and day to get it right, and we will get it right."
He added: "We have come through the peak, or rather we have come under what could have been a vast peak.
"As though we have been going through some huge Alpine tunnel, and we can now see the sunlight and the pasture ahead of us."
Asked about the UK's response to the pandemic, Mr Johnson said he thought it was "right to make our period of lockdown coincide... with the peak of the epidemic".
But he added that the government was "learning lessons every day".
The prime minister said he wanted to "wait until the end [of the pandemic] before making international comparisons" between the UK's coronavirus death total and other nations.
"At the moment, I just think the data is not clear," he said.
On testing, he said: "I think I'm right in saying... we are now doing about as much testing as any other country in Europe.
"I know we are supposed to deprecate these international comparisons but we have massively ramped up our testing operation, we are going to ramp it up further."
Speaking on Question Time, former chancellor George Osborne said the country did not have testing "as quick as we'd like" and went into lockdown too late, but he said: "The hospitals haven't fallen over and the capacity has been built."
Meanwhile, on Thursday evening, people across the country took part in the sixth nationwide Clap for Carers to thank the NHS.
Mr Johnson was pictured clapping outside No 10, while fiancee Carrie Symonds - who gave birth to the couple's son on Wednesday - tweeted she was joining in the clap and had "another wonderful reason to thank the NHS this week too".
During the briefing, Mr Johnson also thanked the NHS and referenced his "very much happier hospital visit yesterday".
In other developments:
- More than 9,000 fines have been issued in England and Wales for breaching coronavirus lockdown restrictions
- British Airways has told staff its Gatwick Airport operation may not reopen after the pandemic passes
- Captain Tom Moore, who raised more than £30m for the NHS by walking laps of his garden, has been made an honorary colonel on his 100th birthday
- London's transport system may be unable to cope with a surge in demand when lockdown measures are lifted, a briefing to emergency planners says
- Sainsbury's says customers are likely to see disruption to their shopping, including socially-distanced queues, until September
- Firms that fail to refund people for holiday and weddings cancelled because of the pandemic could face legal action by the consumer watchdog
The total number of deaths of people who have tested positive for Covid-19 in UK hospitals and the wider community is now 26,771, according to data published by the Department of Health and Social Care.
This is different to the total of 26,711 initially announced by Mr Johnson at the briefing.