Passengers arriving at Ljubljana airport will be screened. Within a few days, arrivals will be subject to temperature screenings. Officials are still deciding whether to do so at the Italian border.
The cabinet has also prepared a one billion euro stimulus package to help the economy.
To slow the spread of the coronavirus, there will be no events with 500-plus visitors. That includes the Planica event, which will take place without spectators.
Indoor events will be limited to 100 people.
While some lectures have been cancelled at universities, schools remain open.
In 15 cases, patients were infected abroad, mostly in Italy.