Deneuve's family said in a statement released Wednesday that the 76-year-old actress suffered a "very limited and therefore reversible" stroke.
The French newspaper Le Parisien reported on Wednesday morning that the actress had succumbed to "an illness on Tuesday night that continued into Wednesday morning".
The film, directed by Luis Bunuel, was considered raunchy at the time for its portrayal of a housewife who took to prostitution to fill her afternoons.
Deneuve was hospitalised in Paris, but the family didn't disclose the name of the facility.
The Hollywood Reporter has reached out to her reps. She starred in the 1983 Hunger with David Bowie and was awarded to Indochina in 1993.
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Last year, she argued in an open letter that the campaign of sexual assault victims apologizing against sexual harassment was too far.
"A source told French television network BFMTV that Catherine had recently been suffering from 'exhaustion'".
She has five grandchildren and now resides in Paris.
One of Catherine's most successful recent films, The Midwife, earned global acclaim.
The film was awarded four stars by Allan Hunter in the Daily Express.