67 people had been admitted to Kenyatta General Hospital, according to a doctor, and these victims of the disaster were suffering from injuries to the chest, leg and abdomen.
An appeal has gone out for people to go to the hospital to donate blood and police have called for people trained in rescue operations to help.
Witness reports speak of even more dead bodies having been found, but at present the police have not released an official death toll.
Farid AbdulKadir, head of disaster operations with the Kenya Red Cross Society, confirmed there are four dead bodies and also said that cries for help could be heard coming from the rubble of the collapsed building.