Officers were called to Hannaford Way, in Cannock, at around 10.30pm on Friday, after a catalytic converter was stolen from a silver Honda Civic in the street.
Three males suspects wearing disposable face masks were said to have left the scene in a blue Ford Vauxhall VXR.
Officers are reviewing CCTV footage from a nearby ambulance.
Police were called again at 1am on Sunday to Moss Street, in Blackfords, after a catalytic converter was reported stolen from a silver Honda CRV.
The victim managed to turn on a security light and two offenders ran from the scene. Officers are reviewing CCTV footage of the area.
Police were then called a short time later at about 2am on Sunday to St John’s Road following similar reports.
Officers attended and were told two males aged 19 to 20 had fled the scene on foot with a catalytic converter stolen from a silver Honda CRV parked on a driveway.
The offenders are described as wearing black puffa jackets and black trousers. One male’s jacket had a grey hood.
They ran off in the direction of Avon Road.
A police dog was deployed to the scene and inquiries are ongoing.
Anyone with information is asked to contact Staffordshire Police on 101 quoting incident number 898 of April 30.
Alternatively, contact Crimestoppers anonymously on 0800 555 111.
Alternatively, contact Crimestoppers anonymously on 0800 555111 or at crimestoppers-uk.org