Jarre, the father of musician Jean-Michel, won Oscars for his scores for Lawrence Of Arabia, Doctor Zhivago and A Passage To India.
He composed music for more than 150 films in his career, picking up a further six Academy Award nominations for movies such as Ghost, Gorillas In The Mist and Witness. He also won a BAFTA for the score for Dead Poets' Society in 1989.
French president Nicolas Sarkozy paid tribute to his fellow countryman, saying: "By working with some of the greatest filmmakers in the world, he showed that music can be just as important as pictures to make a beautiful and successful film."
He added that Jarre, who died in LA, was a "great composer" who had created "majestic and full-bodied works" during his career.