The French Football Federation has suspended Samir Nasri for three international matches, and Jeremy Menez for one, following an investigation into incidents at Euro 2012.
Nasri has been banned after a four-letter tirade at journalists in the mixed zone following the quarter-final defeat to Spain, while Menez clashed with Italian referee Nicola Rizzoli and his own goalkeeper and captain Hugo Lloris during the same game.
The FFF also warned Yann M'Vila, who refused to shake manager Laurent Blanc's hand when substituted against the Spanish, and Hatem Ben Arfa, who argued with the coach after France lost to Sweden, about their future conduct.
FFF discipline commission president Jean Mazzella told L'Equipe: "The meeting was calm, the players gave explanations and showed a very good attitude. They defended themselves but they answered all the questions we asked them. They showed regret.''
Both players will now miss the first game for new coach Didier Deschamps, an international friendly against Uruguay on August 15.
Nasri will also be sidelined for their first two World Cup qualifying matches, away to Finland on September 7 and at home to Belarus four days later.
Menez was represented by his lawyer Carlos Alberto Brusa, who said: "He (Menez) regrets what happened and wants to put this difficult time behind him. It was a youthful error. He is not there, I am there to represent him and pass on his message.
"It is a big responsibility, in front of the commission, to represent a player and to tell his story.''