Busted for being a secret agent, Chapman is back under media spotlight after taking part in the contest organized by the Russian edition of Maxim magazine.
It dubbed her "the most mysterious sex bomb of modern times".
Others competing for the sexiest woman title include tennis stars Maria Sharapova and Anna Kournikova.
Chapman is beating supermodel Natalia Vodianova, who is married to British aristocrat Justin Portman, in the poll but lags behind Kurylenko.
"Anna was invited by an editor at the magazine and accepted," The Daily Express quoted a spokesman for Maxim magazine as saying.
"The voting has now started online on the magazine's website. We will see who makes it to the top," he added. (ANI)