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Two incidents of bottles being thrown towards the pitch were recorded by officials from European football's governing body at the 7 March match.
Neither missile reached the playing surface during Celtic's Champions League defeat by AC Milan.
Celtic are likely to appeal within the three-day limit.
The club claims that the bottles were thrown from an area outwith the official Celtic support.
"The fine of 1000 Swiss francs says it all," said a spokesman.
"Not withstanding this, we are disappointed and may consider an appeal once we have seen the detail.
"We would like to add that, given the last-minute changes to arrangements for the match in Milan, the supporters were once again magnificent."
http://news.bbc.co.uk/sport1/hi/football/teams/c/celtic/6496901.stm