Hilary Swank is clearly a woman head over heels in love and she doesn't care who knows it!

The Oscar winning actress couldn't keep her hands - or her lips - off of her sexy new French beau, Laurent Fleury, as they strolled through the streets of Paris this week.

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Hilary and Laurent have been inseparable lately with the Million Dollar Baby star spending lots of time with his two children in the City of Light.

He also accompanied her recently while she filmed You're Not You in Los Angeles earlier this month.

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Hilary's last main relationship was with John Campisi which ended this summer after five years. She was married to Chad Lowe for 8 years but they divorced in 2006.