Kate is a patron of the world famous museum in South Kensington and she and her husband donned 3D glasses to watch the film alongside a specially invited audience.
Kate rocked a stunning floor length lace gown to the glitzy event while William slipped into a typically suave tuxedo.
The film uses 3D technology to bring beasts such as dinosaurs, ice age beasts and monstrous reptiles to life.
In the movie creatures including the Diplodocus - the giant dinosaur that sits in the Natural Museums entrance hall - are resurrected for the audience.
Sir David said: "I have been coming to the Natural History Museum since I was a boy. It’s one of the great places to come to learn about natural history.
"Using our current scientific knowledge, this film brings these creatures alive allowing me to look at some of the biggest questions surrounding them. I hope that it will make people think about these extinct creatures differently and bring the museum to life in a new and exciting way."
The film will be shown at 6.30pm on Sky 3D on New Year’s Day and will be simulcast in 2D on Sky 1 HD.