Burnaby RCMP Cpl. Dominic Duchesneau says the body was located at about 4:30 Monday afternoon.
He says the suite, in the 4900 block of Hastings Street, has been secured since then as detectives search for clues.
The victim is believed to be in her 60s, but her name has not been released and Duchesneau is not saying how she died.
He also refuses to speculate on a motive, saying the investigation is in its early stages.
Anyone with information about the woman or her death is urged to contact Burnaby RCMP or the Integrated Homicide Investigation Team.