During the 11am incident, Choo Czek Yeng, 36, died at the scene of severe head injuries.
Dang Wangi police chief ACP Zainuddin Ahmad said police were informed of the incident at 11.25am and have classified the case as sudden death.
"The body of the victim was sent to the Kuala Lumpur Hospital for a post mortem," he said.
A witness who did not want to be named said that at about 10am, he saw the woman leaning on to the panel railing of the six floor. - Bernama