Updated: Mystery Surrounds Body Of Missing Woman Found In Luxury Adelaide Townhouse

Police are treating the woman's death as suspicious, and say she's been missing for several days.

Officers searched a home on Sturt Street in Adelaide's CBD on Monday night, and discovered a woman's body inside.

Detectives believe she was stabbed to death, and her body had been in the house for several days before it was found.

Police say the victim was living with friends at the home where her body was found.

Police haven't yet revealed her identity, but say she's a 39 year old woman who was reported missing on Sunday, but was last seen late on Thursday night.

It's understood she lived at the home, which is owned by two senior SA government officials, however authorities were quick to rule out the pair as potential suspects.

"The victim appears to be a close friend who occupied one of the rooms, and they're all well known to one another," said Detective Superintendent Des Bray on Tuesday.

"There's not the slightest thing to indicate anything untoward by the owners. They're probably just as shocked as everybody."

The woman's body is removed from the home. Image: 10 News First

Police are still searching for the murder weapon.

The victim's car, a silver BMW, was found about one kilometre from the scene on Tuesday, in the carpark of a city pizza shop. It's being examined by forensics.

Police believe the killer may have driven the car there after the victim was killed. They are yet to confirm if any suspects have been identified.

"I think, from the very little I know, she's lead a blameless life and she's a victim of just a horrible crime," said Detective Superintendent Bray.

Police searching the area on Tuesday morning. Image: 10 News First

In a bizarre coincidence, the home used to belong to Adelaide radio presenter Ali Clarke.

"Just absolutely gutted that something we renovated and brought back to life and had so much joy in is now going to be the subject of so much sorrow for another family," Clarke said on ABC Radio Adelaide on Tuesday morning.

Another police update is expected late Tuesday afternoon.

Feature image: 10 News First

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