According to details, the doctor , Isabel Muñoz, who was studying at University Hospital del Valle, died from her injuries.
The nurse , Maria Isabel Gonzalez, suffered multiple fractures but is in a stable condition.
A police investigation reported that it is not clear what caused her to fall .
The hospital director Juan Carlos Corrales said, "We don't know what happened."
He told El País newspaper in Cali, "All we know for now is that we are living a tragedy here. It is a very difficult situation."
The incident happened at 09:00 local time (15:00 BST).
Ms Muñoz was walking across a courtyard on her way to the cafeteria when Ms Gonzalez fell on her.
Mr Corrales said, "The doctor suffered traumatic brain injury and passed away, despite all the efforts to save her."