They included antiretrovirals and other essential drugs as well as hydroxychloroquine, an antimalarial.
One of the drugs the South Asian country had said it would not export was hydroxychloroquine.
Health Chief Administrative Secretary Rashid Aman said Kenya imported the drug to be used in clinical trials that will be conducted in the country.
Kenya is part of an international clinical trial by the World Health Organization and partners to help find an effective treatment for Covid-19.
Kenyan researchers have got approval to conduct the trials to determine if hydroxychloroquine, the antiretroviral remdesivir and the antiretroviral combination Lopinavir/ritonavir can effectively treat Covid-19 patients in Kenya.