He faced charges of "casting public insults based on origin, religious affiliation, race or ethnicity" after two incidents in a Paris cocktail bar.
Galliano was fined 4,000 euros on one count and 2,000 euros on the second charge.
Outside court after the verdict was announced, a lawyer for Galliano said: "There will not be any fine to be paid and it is a fair and wise decision by the tribunal.
"Mr Galliano wants to apologise and he continues his treatment to be cured."
He had faced a maximum fine of £19,800, and if pursued by prosecutors for a custodial sentence a jail term of up to six months. Read More