Ms Pinot accused her partner and judo trainer Alain Schmitt of punching and attempting to strangle her during an altercation over the weekend.
The Olympic gold medallist, 27, filed a complaint against Mr Schmitt.
He was arrested but denied the allegations and was acquitted in court.
A judge said there was not "enough proof of guilt" for the prosecution to proceed when delivering his verdict in a preliminary hearing on Wednesday.
"A court is never there to tell who is telling the truth and who is lying," the judge said.