In order to do this the Department of Health has described the virus as a "serious and imminent threat" to public health.
The overall risk level to the UK remains "moderate".
There have been more than 40,000 cases of the virus globally, mostly in China, with four so far in the UK.
The total number of deaths in China is now 908 - but the number of newly-infected people per day has stabilised.
A Department of Health spokesman said: "We are strengthening our regulations so we can keep individuals in supported isolation for their own safety and if public health professionals consider they may be at risk of spreading the virus to other members of the public.
"This measure will rightly make it easier for health professionals to help keep people safe across the country."
The BBC's political correspondent Iain Watson said the new measures were announced because a passenger on the first UK flight from Wuhan, who is currently being held in quarantine on the Wirral, "is threatening to abscond".
"Currently the regulations are not strong enough to stop him leaving before the 14-day period is up so they brought in these new regulations to try and compel him to stay put," he told BBC Radio 4's Today programme.
On Sunday, around 200 British and foreign nationals arrived on the second and final flight chartered to the UK from Wuhan by the Foreign Office. Evacuees were taken to a Milton Keynes conference centre for 14 days of quarantine.
Meanwhile, a fourth person was diagnosed with coronavirus in the UK on Sunday, having caught the virus in France.
In a statement on Monday, Health Secretary Matt Hancock said Arrowe Park Hospital, on the Wirral, and Kents Hill Park conference centre, in Milton Keynes, have been designated as "isolation" facilities in the UK.
A statement on the Department of Health website said: "In accordance with Regulation 3, the Secretary of State declares that the incidence or transmission of novel coronavirus constitutes a serious and imminent threat to public health, and the measures outlined in these regulations are considered as an effective means of delaying or preventing further transmission of the virus."
The BBC's health editor Hugh Pym said the announcement "gives the legal underpinning to the quarantining of people back from Wuhan in Milton Keynes and the Wirral".
The new virus was first reported in Wuhan, the capital of Hubei province. The city of 11 million has been in lockdown for weeks.
The outbreak was declared a global emergency by the WHO on 30 January.