Georgios Georgantas, head of the ICRC delegation in the republic, said the victims were admitted to a community hospital in Bangui, the CAR capital.
"Civilians must not be targeted," he said in a statement Sunday. "This means the general civilian population, of course, but specifically includes medical personnel and the facilities in which they work."
CAR violence escalated when the Seleka rebel coalition toppled the government in March.
The United Nations issued a statement Saturday calling for calm after CAR Prime Minister Nicolas Tiangaye and President Michel Djotodia agreed to resign.
Djotodia led Seleka but quickly lost control of the Sunni rebel movement
The conflict took on a religious tone when members of the Christian militia called anti-balaka took up arms against their Muslim rivals.
The United Nations estimates nearly 1 million people were forced to flee their homes in the republic because of the violence. More than 2 million people, about half the country's population, are in need of some form of humanitarian assistance.