Officers are investigating three separate burglaries in the Redlynch area.
Overnight on September 19th into the early hours of September 20th, three separate addresses were targeted, with items stolen totalling thousands of pounds and including garden power tools and bikes.
The addresses targeted are all in rural and remote locations with barns and outbuildings.
It is believed offenders travelled in a black Ford Transit van into Downton and up to Redlynch before heading back on to the A36 into Hampshire via West Willow.
In a statement, police said, "We are urging residents in the area to be mindful of these latest incidents and their own home security.
"Officers have increased patrols in the area and are working closely with Hampshire Constabulary to carry out extensive enquiries.
"Anyone with information should call 101 and quote crime reference number 54240111001.
"Alternatively, call CrimeStoppers anonymously on 0800 555 111."