A Croatian community organisation has alleged that comments Bob made to Rolling Stone magazine last year amounted to incitement to racial hatred.
Bob Dylan, in the interview published in September 2012, stated that racism was holding America back.
Reportedly, Bob Dylan said, "Blacks know that some whites didn't want to give up slavery - that if they had their way, they would still be under the yoke, and they can't pretend they don't know that".
He further said, "If you got a slave master or (Ku Klux) Klan in your blood, blacks can sense that. That stuff lingers to this day. Just like Jews can sense Nazi blood and the Serbs can sense Croatian blood."
The organisationn CRICCF filed a legal complaint following which investigation began. The comments as carried in the French version of the magazine violated French racial hatred laws, the organisation argued, reported Reuters.
In France, racism complaints automatically trigger formal investigations, irrespective of the merits of the case.
Dylan was awarded France's prestigious Legion d'Honneur award last month in Paris. Culture Minister Aurelie Filippetti said that, for French people, he embodied a "subversive cultural force that can change people and the world".