The signs were put up by a group of people running for Market Drayton Town Council as independent candidates.
But in recent days signs at Talbot Wharf have been removed, and one was found snapped in half near the town centre.
Local elections are being held on May 6, though postal votes have already been submitted.
A number of independent candidates have been working together on their campaigns, including on shared signs and leaflets.
Among them is Mike Smith, who has been an independent on the town council since early 2019.
Of the signs being removed he said: "It's annoying but I'm not overly worried. The signs had been up for a while."
Resident Elliott Powell went out this morning and replaced some of the signs. He said one of the vandalised signs was found to have profanities scrawled on the back of it.
He also said the matter has been reported to police.
Conservative mayor Roy Aldcroft expressed his shock about the vandalism and said he hopes the people responsible are apprehended soon.
Anyone with information has been asked to contact the candidates at facebook.com/MarketDraytonIndependents.