The visitors themselves were fined €5,000 for supporters breaking seats in the away end.
There were fears the governing body would come down stronger on the Parkhead club after a supporter ran on to the pitch and aimed a kick at PSG striker Kylian Mbappe.
John Hatton, from Belfast, admitted assault and behaviour likely to incite public disorder at Glasgow Sheriff Court.
Uefa charged Celtic for the incident and, had they decided to partially close Parkhead, it would have meant a reduced attendance for next Tuesday’s Champions League match with Bayern Munich.
Spartak Moscow were handed a partial stadium ban last week for “racist behaviour” towards Liverpool striker Bobby Adekanye during a Youth League match.
Celtic’s €10,000 is also less than the punishment given to FC Basel for fans setting off fireworks.
The Swiss side were fined €12,000 after supporters indulged in the use of pyrotechnics during the 3-0 defeat against Manchester United at Old Trafford.
Celtic were fined €23,000 earlier this campaign for the use of “illicit banners” during their home clash with Northern Irish champions Linfield during Champions League qualifying.
Celtic have now racked up fines totalling around £240,000 since 2007