The detained mothers include two whose newly-born babies died after delivery at the facility.
Hospital says it received a circular from NHIF not to discharge any patient.
There was drama at Akidiva Memorial Hospital in Migori on Monday after a group of men stormed the facility demanding the discharge of their spouses who had been detained after undergoing cesarean delivery.
The men accused the facility of applying double standards after their spouses were booked for the caesarian services without notification that the Linda Mama services under the National Hospital Insurance Fund (NHIF) had been halted.