The ban issued by the economics minister Teva Rohfritsch will be in force until April the 5th and follows a weekend of incidents in which people ignored limits on private and public gatherings.
Earlier, president Edouard Fritch said alcohol consumption had posed enormous problems.
Reports say orders to stay home have been widely ignored, prompting warnings that a curfew might be imposed.
23 people have tested positive to the virus in the territory.
To counter the economic blow, Mr Rohfritsch said that the government would give relief to businesses and benefit those who are out of work.
Various taxes due by businesses can be deferred by two to three months.
Employees who are out of work are eligible for $US1000 a month.
A special allocation of $US500 is being made available for families in difficulty and urgent situations.
The public has also been assured that during the next three months there will be no cuts to water, power and phones for failing to pay the bills.