The man had called his estranged wife to talk and they met in the afternoon in a busy Nicosia suburb of the island country located in the Eastern Mediterranean Sea, Xinhua reported.
But he suddenly started shooting with an army assault rifle following a heated argument during their meet, police said, adding thereafter he shot himself in the head and died.
The woman, their nine-year-old daughter, and the man were pronounced dead after being rushed to hospital. But their 14-year-old son remains critically injured, doctors said.
Army assault rifles are issued to all Greek Cypriot males after they complete a 24-month service in the small Cypriot National Guard. But they are seldom used in crime of any kind.