Manchester City midfielder Samir Nasri has been given a three-match ban from the France team after an investigation into his behaviour during Euro 2012.
A French Football Federation committee decided to punish him following several incidents in Poland and Ukraine.
Paris St-Germain's Jeremy Menez was given a one-match ban after an argument with Hugo Lloris during his nation's 2-0 quarter-final defeat to Spain.
Newcastle United's Hatem Ben Arfa and Rennes' Yann M'Vila received warnings.
Nasri, 25, swore at a reporter following the loss to the tournament winners, and also made a gesture with his finger over his mouth and yelled "Shut your mouth!" at another journalist after scoring in the opening Group D match against England.
The suspensions rules both players out of a friendly against Uruguay next month, while Nasri will also miss the 2014 World Cup qualifiers against Finland and Belarus.
M'Vila ignored former head coach Laurent Blanc when he was replaced by new Arsenal signing Olivier Giroud in the game with Spain on 23 June, while Ben Arfa was involved in a dressing-room argument with Blanc following the 2-0 group stage defeat to Sweden.
Disciplinary committee head Jean Mazella told RMC radio that the players "did not apologise" but that they "regretted what they said and how they behaved."
The offences in eastern Europe followed the FFF's decision to suspend all 23 squad members for one game, after the players boycotted a training session during the 2010 World Cup when Nicolas Anelka was sent home for insulting Blanc's predecessor Raymond Domenech.
Blanc's contract with the governing body has since come to an end, and he has been replaced by former Chelsea midfielder Didier Deschamps.