Police are stepping up patrols in Droxford after a spate of vandalism and theft of signs.
Over the last year, Hampshire Constabulary says it has received several reports in relation to unknown persons who have caused damage or removed signs in and around St. Mary and All Saints Church, Droxford.
The signs have been put up in place with the agreement of the appropriate authorities and simply ask people to keep their dogs on leads in the church graveyard.
There have also been reports of tyres being deliberately punctured.
A spokesperson for Hampshire Constabulary said: “At this time there are no further lines of enquiry but if you do have any information that may help with this reported incident please contact us on 101 or alternatively, you can contact Hampshire Constabulary using the online reporting method www.hampshire.police.uk quoting the ref number 44230090907.”