Speaking at the Frankfurt Book Fair, he told Agence France Presse: "I made 10 films and I never would have imagined being able to do that when I was young. It's the end of a cycle, that's certain.
"If I don't direct any more films, that's fine. I've said what I had to say. But, I am not an idiot. If someone shows me a good script, I'll direct it."
Besson was in Frankfurt to support the release of his latest kids' book, and fourth in the Arthur series, Arthur And The War Of The Two Worlds.
Besson's latest effort as director is the forthcoming Arthur And The Minimoys, a $78m (Euros 62m) adaptation of the series' first tome.
The film will be released by Besson's EuropaCorp. on December 13 in France and stars the voices of Madonna, Snoop Dogg and David Bowie for the English version and Mylene Farmer, Alain Bashung and Marc Lavoine in the French version.
Besson also intimated that if the film finds an audience he will begin work on adapting the second book, Arthur And The Forbidden City, for the big screen with a shooting start date as early as June 2007.