The new measures to combat the spread of the coronavirus came into force on Wednesday (18 March).
Non-EU citizens attempting to enter the bloc will be turned away upon arrival.
All 26 member states in the EU Schengen area will enforce the measures.
It is also expected to apply to Iceland, Liechtenstein, Norway and Switzerland owing to their association with the union, their proximity and location.
The UK and Ireland have been invited to participate, the BBC reports.
The new restrictions were signed off during a meeting of EU leaders over video conference on Tuesday.
Ursula von der Leyen, president of the EU Commission, confirmed members had endorsed the commission’s proposals, adding there was yet more work ahead to fight the crisis.
The EU has also pledged to bring home EU citizens stranded outside the union; support companies, and people at risk of losing their jobs; supporting efforts to develop a Covid-19 vaccine; and work with industry and government to produce more equipment to mitigate the crisis.
It comes after several EU members states imposed their own stringent new travel restrictions on citizens.
The Foreign Office, for example, is advising UK citizens against all non-essential travel worldwide for the next 30 days.
