Newcastle United's Hatem Ben Arfa and Rennes' Yann M'Vila received warnings.
Euro 2012 highlights: Spain 2-0 France
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 rule both players out of a friendly against Uruguay next month, while Nasri will also miss the 2014 World Cup qualifiers against Finland and Belarus.
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.
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