The Ukrainian football federation, which was also fined 45,000 Swiss francs ($50,000), can appeal to the Court of Arbitration for Sport.
FIFA said it warned the federation about future conduct.
FIFA acted on reports from monitoring group Fare, which attended Ukraine's 9-0 victory over San Marino on Sept. 6.
Fare reported "Nazi salutes and racist monkey noises targeting Edmar," a Brazil-born Ukraine player who is black, and that "neo-Nazi banners were on display."
In a ruling published in September, FIFA's disciplinary panel said that "the offensive, denigratory and discriminatory actions of a group of Ukrainian supporters were shameful."
Ukraine lost to France last week in the World Cup playoffs.