The Homa Bay woman who gave birth to five babies on Sunday has lost the children to pneumonia.
Jacinta Akinyi's three babies died on Tuesday while being treated at Kisii Teaching and Referral Hospital.
Two died at Matata hospital in Oyugis hours after their birth and before the three were referred to Kisii.
KTHR acting CEO Enock Ondari said the children died because they were transported in a cold environment.
He said one succumbed to a condition known us Disseminated Intravascular Coagulopathy (DIC).
Ondari said the second child died from severe pneumonia while the third succumbed due to undergrowth.
"Kisii referral hospital is the only one with an incubator in the entire region."
The medic added that the mother went through premature labour.
Noting the woman's family has a history of delivering twins and quadruplets, the chief executive said mothers can manage to take care of several newborns if they survive.
"Doctors can recommend supplementary milk if a mother is found to lack enough."
To avoid such scenarios in future, Ondari advised women to visit health facilities for ante-natal care.