The French newspaper L'Equipe has confirmed a story by the magazine Closer, that Carter was stopped late Wednesday night by Police in the 17th arrondissement of Paris.
The report said Carter wasn't carrying his driver's licence and had a blood alcohol concentration of .98 grams per litre when the limit was .5 grams per litre.
Carter wasn't held in custody and will be summoned to court for trial.
Carter joined French club Racing 92 following the All Blacks' victory at the 2015 World Cup.
