Shops, cultural and sports institutions, and restaurants will be allowed to open at that date, Switzerland's Federal President Simonetta Sommaruga said at a press conference in Bern.
Primary and secondary schools can also open as of May 11, Alain Berset from the federal council said at the press conference.
Border restrictions will be eased and public transport will also ramp up at this time.
A third phase of loosening restrictions will happen June 8, under the condition that the coronavirus spread is under control.