She was taken ill on a flight from London to Los Angeles on Friday and was taken to hospital when the plane landed.
A family statement announced she had died on Tuesday morning.
In a statement released on behalf of Fisher’s daughter Billie Lourd, spokesman Simon Halls said: “It is with a very deep sadness that Billie Lourd confirms that her beloved mother Carrie Fisher passed away at 8.55 (16:55 GMT) this morning.
“She was loved by the world and she will be missed profoundly. Our entire family thanks you for your thoughts and prayers.”