It's an adaptation of Jack Kerouac's 1951 novel, which is considered to be the seminal book of the Beat Generation.
Dean (Hedlund) and Sal (Riley) are two friends looking for thrills on road trips across America, from New York to the West Coast and then back again.
The film's ensemble cast also includes Amy Adams, Viggo Mortensen, Kirsten Dunst, Steve Buscemi, Terrence Howard and Elisabeth Moss.
The Walter Salles-directed film will premiere at the Cannes Film Festival later this year, the Daily Mail reported.
Meanwhile, Stewart and Pattinson's Twilight characters have been immortalised as Barbie dolls.
Their characters Bella Swan and Edward Cullen on their wedding day have been made into the plastic figurines to mark the release of the DVD of The 'Twilight Saga: Breaking Dawn Part 1'.
The on-screen couple are together in real life too and have been spending time together before they kick off their promotional tours for their upcoming films.
Stewart has 'Snow White and the Huntsman' and 'On The Road' coming out, while Pattinson is promoting 'Bel Ami' and 'Cosmopolis'.
