Britain had initially imposed a blanket quarantine on all visitors arriving in the country, but later carved out "travel corridors" which exempted travellers arriving from certain countries from having to self-isolate.
But it reintroduced the quarantine for travelers arriving from Spain in late July, catching airlines by surprise — as well as thousands of Britons leaving for their holidays.
Britain then reimposed quarantine for travellers from Andorra, Belgium, and the Bahamas last week.
Scientists at Britain's Joint Biosecurity Centre advised the latest measures after France's cases per 100,000 population rose above 20.
"France is heading in the wrong direction...we have to act," Shapps told the BBC on Friday.
"The last thing we want to do is have people returning and bringing the infection with them," he said, adding that there were around 160,000 Brits due to return from France in the near future.
With more than 41,000 deaths caused by the Covid-19 disease, Britain is the worst-hit country in Europe and Prime Minister Boris Johnson has been criticized over his handling of the crisis.
His government also announced on Thursday that casinos and bowling alleys will be allowed to reopen in England after being shut during the lockdown, but that those not wearing masks face harsher fines.