The men are described as of medium build, dark skinned and aged between 25 and 35 years old.
A police spokesperson said about 11pm on Monday, March 3, the three forced their way into a house on Seaforth Avenue in Gosnells and stole a wallet.
An hour later, they broke into another home, on Nicholson Road in Lynwood, and stole another wallet.
Fifteen minutes later, the trio entered a house on Mark Mackillop Glen in Queens Park and stole a vehicle, which was parked in the driveway.
On Wednesday, March 5, the men attacked a male pedestrian on Spencer Road in Thornlie, before stealing his backpack.
During each of the incidents, the three men were seen arriving and departing in a dark coloured Ford Falcon XR6 with yellow number plates.
Anyone with any information about the men or any details about this offence is urged to make a report online or call Crime Stoppers on 1800 333 000.