The four new cases include; 2 travellers from Dubai, UAE, one traveller from Brussels, Belgium while another case is a contact of a previously confirmed case who was identified through tracing.
All the travellers have been isolation since arrival into the country and were tested, according to the ministry.
According to the statement, all patients including previously confirmed cases are under treatment and are in stable condition.
People who may have come into contact with the previously confirmed cases have also been traced for further management.
The government continues to call for heightened vigilance and adherence to measures announced including the restriction of non-essential movement, closing of non-essential businesses and suspension of travel between cities and districts.
“The cooperation of Rwandans and residents is greatly appreciated as are the efforts of those working hard in the health sector who continue to be supported and appropriately protected as they work to protect the health and safety of all of us,” the statement reads in part.
As health workers make efforts to contain the virus spread, Rwandans have been reminded to stay home and avoid unnecessary movement to avoid the transmission of the virus.
The government has also closed the airport to passenger planes and it is only open for emergencies and freight transport.
During the lockdown period that went into force on Sunday March 22, only markets and shops selling foodstuffs and other essential groceries will remain open.
Also open are hospitals, pharmacies, petrol stations, among others while public transport is limited to service providers of these essential services.
Globally, about 380,000 coronavirus cases had been recorded by Monday, while the death toll was over 16,000 by press time, according to the World Health Organisation.