Horner was piloting a small aircraft when it crashed into a remote area near north of Santa Barbara on Monday, the Hollywood Reporter said quoting officials.
His death was later confirmed by his assistant Sylvia Patrycja on Facebook.
"We have lost an amazing person with a huge heart and unbelievable talent," Patrycja wrote.
"He died doing what he loved. Thank you for all your support and love and see you down the road."
Horner won the Oscar for best original score for his work on James Cameron's "Titanic" and followed it with original song win for Celin Dion-sung "My Heart Will Go On" in the film. He shared the award with songwriter Will Jennings on the popular number.
The "Star Trek" composer, one of the busiest musicians in Hollywood, earned 10 Oscar nominations and gave music for two other best picture winners: Mel Gibson-starrer "Braveheart" and "A Beautiful Mind". His other nominations were for "An American Tail", "Field of Dreams", "Apollo 13" and "House of Sand and Fog".
Horner's work will be seen in upcoming films "Southpaw"; "Wolf Totem" and "The 33".
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