The Ligue 1 champions labelled UEFA's ruling as "unfair" after its control, ethics and disciplinary body imposed the sanction for the discriminatory conduct of PSG supporters towards disabled Chelsea fans during the Champions League quarter-final first leg tie in Paris on April 2.
A statement on the club's website read: "Paris Saint Germain are unworthy of the unfounded penalty imposed by the supervisory authority and disciplinary body."
It added: "Paris Saint Germain, surprised and shocked by this unfair decision, have asked UEFA to transmit the reasons behind it, a prerequisite for the appeal.
"Paris Saint-Germain recognise the struggle everywhere against all forms of discrimination both within the stadium and in the community."
It is alleged that visiting Chelsea fans sitting below the home support at the Parc de Princes were spat at and had bottles thrown at them during the match, which the Blues lost 3-1.
UEFA responded by ordering the closure of sections 104 and 105 of Parc des Princes when PSG stage their next European game in September or October.
It is the first time a team has been charged by UEFA for abusing disabled fans, in contravention of article 14 which covers "racism, other discriminatory conduct and propaganda".