Exodus Tyson had been on life support and police have said their investigation showed her injury on Monday was a "tragic accident."
"There are no words to describe the tragic loss of our beloved Exodus," the family said in a statement. "We ask you now to please respect our need at this very difficult time for privacy to grieve and try to help each other heal."
Police said Exodus either slipped or put her head in the loop of a cord hanging under the console. Her 7-year-old brother found her and told their mother. She took Exodus off the cord, called police and tried to revive her.
Responding officers and firefighters performed CPR as they took the girl to the hospital.
Former heavyweight champion Tyson was in Las Vegas at the time of the accident and flew on Monday to Phoenix, where he was seen entering the hospital.
Tyson spokeswoman Cynthia Schwartz said the family had not arranged a funeral yet.
