The 418 new patients were found following the testing of 2,474 samples in the last 24 hours.
Dr Aman also announced that 494 patients had been discharged, raising the country's total number of recoveries to 5,616.
Kenya on Monday reported 418 more Covid-19 infections, raising the country's tally to 13,771 since the virus was first confirmed on March 13.
Health Chief Administrative Secretary (CAS) Rashid Aman also reported four more deaths, raising the toll to 238. He rectified an earlier report about 19 deaths in a single day, which would have been the highest number ever recorded in Kenya.
