Broseley and Wenlock safer neighbourhood team went out on patrol on Friday after reports of the break-ins which had taken place over the last few days.
"At least seven families have had outbuildings broken into overnight in The Mines and Simpson's Lane, Broseley Wood in the last few days," said the safer neighbourhood team. "Please take care to secure your own outbuildings."
They added that the West Mercia Police website has some practical crime prevention advice to safeguard outbuildings.
"If you do check your outbuildings and find that you have been burgled, please use our online reporting system to report the crime," the police officers said on social media.
On Friday officers said there had also been an attempted burglary at an address on Fox Lane, Broseley, in the early hours of the morning. They appealed for any information to be reported online westmercia.police.uk/tua/tell-us-about/cor/tell-us-about-existing-case-report/ and refer to incident 00239_I_08012022