Snow fell overnight in Normandy, forcing the LFP to cancel the game between Caen and AJ Auxerre.
The other game scheduled at 16:00 GMT, Sochaux v Lille, was also cancelled because of a frozen pitch.
"Ninety percent of the field was OKbut there was a 15 x 2 metre strip that was dangerous," Sochaux's Damien Perquis told French TV channel Foot Plus.
On Saturday, Saint-Etienne's match against Lorient was abandoned after 10 minutes because of a frozen pitch at Geoffroy Guichard.
New dates for these three games have yet to be set.
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