Police will be stepping up patrols following a spate of thefts from Victoria Cemetery in Carrick.
Twenty items have been stolen from graves in recent weeks.
One of the most recent was a model car which was taken earlier this week.
Inspector Trevor Atkinson said: “We received a report from a member of the public that an item had been stolen from the grave of a family member in the Victoria road area of the town between 10.30am on Sunday morning and 2.30pm on Monday afternoon.
“We will be increasing patrols in the area and I would appeal to anyone who has information about this incident to get in touch with police on the non-emergency number 101, quoting reference number 763 of 3/12/18.
“If anyone else has experienced a similar type of theft in this area, we would encourage them to make a report to us.”