Syracuse Police were called to a home on Harwood Avenue, not far from Le Moyne College, for a shooting Sunday afternoon.
Police say John Brown, 60, of Syracuse, shot his daughter, Sarah Brown, 27, of Syracuse, in the arm and shoulder during a domestic incident.
Other family members ran from the home, leaving the John inside.
Police were able to talk John into dropping his gun and surrendering outside the house, where he was taken into custody.
Sarah was rushed to emergency surgery and is listed in serious but stable condition.
Police say she is expected to survive.