The producer will be focusing on Star Wars Episode 7 rather than returning for the fourth instalment of the dinosaur franchise.
"No," said Frank Marshall, Kennedy's husband and producing partner when asked about her involvement on Twitter.
"Ms Kennedy has moved onto Star Wars and will not be producing JP4. She's traded raptors for TIE fighters."
Kennedy currently serves as co-chairman of Lucasfilm.
Jurassic Park 4 will see Steven Spielberg return as a producer, with a director yet to be confirmed.
The film will be shot in 3D and is scheduled for release on June 13, 2014.
Jurassic Park 3D will see the original movie return to cinemas on April 5.
Watch a trailer for Jurassic Park 3D below: