A Paris court also handed down a $23,325 fine against the former screen siren and animal rights campaigner. The court also ordered Bardot to pay $1,555 in damages to MRAP.
Bardot's lawyer, Francois-Xavier Kelidjian, said he would talk to her about the possibility of an appeal.
A leading French anti-racism group known as MRAP filed a lawsuit last year over a letter she sent to then-Interior Minister Nicolas Sarkozy. The remarks were published in her foundation's quarterly journal.
In the December 2006 letter to Sarkozy, now the president, Bardot said France is "tired of being led by the nose by this population that is destroying us, destroying our country by imposing its acts."
Bardot, 73, was referring to the Muslim feast of Aid el-Kebir, celebrated by slaughtering sheep.
French anti-racism laws prevent inciting hatred and discrimination on racial or religious or racial grounds. Bardot had been convicted four times previously for inciting racial hatred.
"She is tired of this type of proceedings," he said. "She has the impression that people want to silence her. She will not be silenced in her defense of animal rights."