The former Christian Dior designer went on an anti-semitic tirade at a Paris caf? in February.
Galliano said he had been under the influence of alcohol and prescription drugs at the time and couldn't recall the incident.
French law prohibits public insults based on race or religion.
Galliano, who didn't attend the announcement of the verdict, was given a suspended $8,400 fine.
He was given no prison time, and because the sentence was suspended, he won't have to pay the fine.
Galliano's lawyer said that his client is "looking forward to the future" and "will continue to care for himself."
The Associated Press contributed to this report.