Twelve more people have tested positive for coronavirus, with Wajir County reporting its first case.
Health Chief Administrative Secretary Rashid said the number of those who have recovered from Covid-19 also increased to 144 after 15 people were discharged from treatment centres.
The new Covid-19 cases were reported in Nairobi, Mombasa, Wajir and Kitui counties, with the total confirmed cases in the country rising to 396.
In Nairobi, Dr. Aman said the cases were from Fedha, Kileleshwa and Eastleigh estates.
Following rising concern over the spending of Covid-19 funds, Dr Aman said the government and its partners will release a detailed report to Kenyans soon.
So far, 17 people have died from Covid-19 in the country.
At the end of March, the Ministry of Health had projected that at least 10,000 Kenyans would be infected with coronavirus disease.
But responding to a question on why the projection has been way off, with only 396 cases confirmed now, the Director-General of Health, Patrick Amoth, said that the modelling was for primarily for planning purposes.
Dr Amoth said that the 10,000 projection with at least 1,000 in critical care was used to plan on the resources that would be needed.
However, the Health official also noted that there have been challenges with mass testing.