All matches in UEFA competitions, including the UEFA Champions League and UEFA Europa League, will not take place next week.
Further decisions on when these matches take place will be communicated in due course, UEFA said in a statement.
As a consequence of the postponements, the UEFA Champions League and UEFA Europa League quarter-final draws scheduled for 20 March have also been postponed.
Italian, Spanish and French championships have been suspended. England and Germany decided to play matches behind closed doors, but the governments are likely to force to suspend the sporting events.