It happened at a home in the 2700 block of Homestead Road in the Chapel View apartment complex.
Chapel Hill Police investigators said they found a man and woman with apparent gunshot wounds inside the home on Monday afternoon.
Police identified the man as 70-year-old Hanho Choi. They said he shot and killed his 31-year-old daughter Hyejin before turning the gun on himself. The father and daughter lived together in the home.
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No other details were immediately released.
Anyone with information should call 911 or contact the Chapel Hill Police Department at (919) 968-2760 (8:30 a.m. to 5 p.m. Monday through Friday). Callers who wish to remain anonymous can call Chapel Hill-Carrboro-UNC Crimestoppers at (919) 942-7515 or visit https://chapelhillcrimestoppers.com/.