Prime Minister Manasseh Sogavare made a national address yesterday saying there are now 2790 cases in the country.
Sogavare said this was within 20 days of the country's first case of domestic transmission of the virus.
He said on Friday alone, health officials identified 430 cases.
Sogavare put the official death toll at 32 but other deaths are believed to have occurred at home.
The prime minister said all but three provinces have reported cases, and transmission was now widespread in the capital, Honiara.