Hong Kong has joined countries such as Switzerland, Germany, and Italy and has suspended UK flights.
On Sunday evening, France shut its border with the UK for 48 hours, meaning no lorries or ferries will be able to sail from the port of Dover.
As queues grow in Kent, the prime minister will chair a meeting of the government's emergency committee later.
Belgium, the Irish Republic, and Canada have also suspended flights. India will halt flights from Tuesday evening until the evening of 31 December.
Austria is also set to bring in a ban, while Bulgaria has suspended flights to and from the UK from midnight. Unlike the short-term measures in many other nations, its ban lasts until 31 January.
European Union member states are due to meet in Brussels later to discuss a coordinated response.