Police were apparently called to the rue de Furstemberg at around 8.30am on Friday morning after reports that two young women were exposing themselves from a second floor apartment.
When they arrived, they found the actress naked in the road.
The newspaper said she was under the influence of alcohol and was placed in a cell while she sobered up.
28-year-old Smet is the daughter of French rocker Johnny Hallyday and actress Nathalie Baye. She was nominated for a prestigious César award in 2002 for her role as a young cancer patient in the film “Les corps impatients.”
On Thursday evening, Smet had attended a dinner organised by the French couture federation to support AIDS charities.