The midfielder aimed a stream of vitriol at the press box when he scored against England, and was later involved in a heated exchange with a journalist after losing to Spain
The Manchester City attacking midfielder's team-mate Jeremy Menez has been suspended for one game over his own ill-discipline in Poland and Ukraine, but Hatem Ben Arfa and Yann M'Vila have escaped with warnings over their future conduct.
Nasri, the subject of much media criticism in the lead-up to the European Championship, first sparked controversy when he made straight for the touchline after scoring in France's tournament opener against England and shouted obscenities at the press box.
The former Arsenal man was then involved in an angry exchange with a journalist after the quarter-final defeat by Spain, during which Nasri challenged the reporter to a fight.
Meanwhile, Menez, who was unable to attend Friday's FFF disciplinary hearing because he is currently on a pre-season tour of the United States with Paris Saint-Germain, was disciplined after being found to have insulted the referee after the 2-0 defeat by La Roja, before the shunning captain Hugo Lloris.
Ben Arfa, though, has not been punished over his dressing-room dispute with then boss Laurent Blanc after defeat by Sweden, while M'Vila has also avoided sanction over his refusal to shake the hand of either replacement Olivier Giroud or Blanc following his substitution in the lossto Spain.