Polanski challenged four publications after the images leaked, showing his wife Emmanuelle Seigner standing at the window of his Gstaad chalet and his 11-year-old son playing in the garden.
The first ruling on Friday (15Jan10) ordered Le Parisien to pay Polanski $4,800 (GBP3,000) - considerably less than the $64,000 (GBP40,000) the director sought - after a court determined the newspaper failed to justify printing the images without the permission of those depicted.
A decision on the other three cases is expected next week (begs18Jan10).
Polanski is now on house arrest following his arrest on a 32-year-old sex case. Next week (22Jan10), he is due to discover if he can be sentenced in the U.S. in his absence.