Ian Rutledge, 43, was the only suspect in the shooting of his family at a property on Drummeer Road in Maguiresbridge, Co Fermanagh, on Wednesday morning.
Police said Ian Rutledge, 43, died in hospital following the incident in Maguiresbridge last Wednesday morning. He is the fourth person who has died following the shooting in Co Fermanagh.
Police want anyone who saw a silver Mercedes saloon car on the Clones Road in Newtownbutler, or between Maguiresbridge and Newtownbutler, on Tuesday to contact them.