The offences in Exmouth took place in Withycombe Village Road, Lyndhurst Road, Ashleigh Road and Albion Hill.
In Budleigh Salterton the offences took place in Clarence Road, Jocelyn Road, East Budleigh Road, Hooker Close and Greenway Lane.
More than £8,400 worth of power tools, radios and gardening equipment were stolen in the thefts.
People are being warned not to leave their tools and equipment in their vans, especially overnight.
Anyone with information or who witnessed anything suspicious in these locations over the weekend are asked to contact police via 101@dc.police.uk or by calling 101.
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