Stone is currently in Russia to finalise a documentary on US National Security Agency whistleblower Edward Snowden, who was given a three-year residency permit in the country.
"I would interview (Putin) to show the point of view that Americans don't want to hear about," Stone told RIA-Novosti news agency.
The news agency said that Putin's spokesman, Dmitry Peskov, confirmed that the Kremlin "was aware of Stone's desire to make a film," but didn't comment further.
