The 52-year-old, who is artistic director of the Old Vic theatre in London, will offer the winner of the Jameson First Shot competition the chance to have their script made into a short film by Trigger Street Productions - and the actor will even star in it.
Kevin is hopeful that the competition will help someone to get their big break.
He said in a statement: 'I want to give talented people out there a shot at reaching their goals for the first time. Jack Lemmon once said to me - 'If you're doing well, send the elevator back down'.
'I've done incredibly well and it’s because the material I found early in my career was from first-time writers, first-time directors, first-time playwrights. If it weren't for that talent I wouldn't have a career. So if one person gets a break then the competition has been successful.'
Talented screenwriters and directors from Russia, South Africa and the USA are encouraged to submit a script up to seven pages long onto www.jamesonfirstshot.com.