The organs of a 62-year-old woman, who was declared brain dead on Sunday night, were harvested on Monday.
The woman was declared brain dead after attempts to stop a brain haemorrhage failed.
Doctors harvested the liver, corneas and two kidneys. Of the organs transplanted, the liver was given to a three-year-old child.
The corneas have been kept in a bank, the Zonal Coordination Committee of Karnataka (ZCCK) said.