Sectarian slogans were painted on two cars parked in the Killuney Drive area of Armagh last weekend.
The criminal damage was carried out sometime between 8.30pm on Friday, November 21 and 4pm the next day.
Police tonight appealed for help in catching those responsible.
Constable Tony Acton said: “I am appealing to anyone who noticed any suspicious activity in the area or who has any information about this incident to contact police in Armagh on 101 quoting reference number 832151114.”
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