She is believed to have been devastated after the recent suicide of a close friend in the U.K.
Gordon's body was found at her apartment at la Rue des Petites Ecuries after her boyfriend alerted a nearby shopkeeper.
An unnamed detective tells the Daily Telegraph Online, "There were no suspicious circumstances. It appears that the young woman took her own life."
Another officer tells Sky News, "It was an horrific scene. The young woman had taken her own life in terrible circumstances. We are not seeking anyone else. It was a clear case of suicide."
Gordon had recently finished filming on Heroic Life, a biopic of singer-songwriter Serge Gainsbourg in which she played British actress Jane Birkin. Trailers for the movie were broadcast at the Cannes Film Festival earlier this week.
An agent for Miss Gordon confirmed she had "ended her own days."
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