Sanford police Captain James McAuliffe said the vases, which are usually made of brass, bronze, or copper are attractive to thieves hoping to sell the precious metal by the pound.
"They've sunken to a new low, stealing from graveyards," said McAuliffe. "It's despicable."
Sanford police are working with the Volusia County Sheriff's Office to return the vases to their rightful owners.
Police are also asking others to come forward if they believe a loved one's vase was stolen.
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