According to police, the Greek Cypriot was in the Potamia area of the buffer zone with two other men at around 3pm on Sunday.
Police said that they were in a pick-up truck when the three claimed that while in a particular area they were allegedly shot at from the north.
One of the three men, who police did not have further details about, was shot in the shoulder and taken to hospital.
Police spokesman Christos Andreou said that he was taken to surgery, but that he is not in danger.
However, according to reports in Kibris Postasi, the military authorities in the north said that the claims did not reflect the truth.
Military officials told the website: “In the coordination of the military authorities with the United Nations Peacekeeping Force, it has been learned that the incident arose out of a land dispute between the Greek-Cypriots, and they shot each other.”