Around 1,500 Linfield fans travelled from Belfast to watch this evening's game as police urged supporters to "focus on the football" and brought in additional officers to Celtic's home city to assist supporters.
Brendan Rodgers' men secured a straightforward victory in the first leg of the Champions League second-round qualifier in a game marred by spectators throwing missiles at Celtic players.
The game, which Celtic won 2-0, was temporarily stopped at one stage as Griffiths had a bottle thrown at him by a member of the crowd as he attempted to take a corner.
"I don't mind that Celtic are a Scottish club who have an affinity with Ireland, but they can not allow their supporters to show an affinity with Irish terrorists, which is what they have been doing".
The two teams meet again tomorrow evening for the second-leg at what will be a full Celtic Park.
After the final whistle, Scotland global Griffiths tied a Celtic scarf to one of the goalposts.
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The Hoops, who were also being investigated over improper conduct for picking up five cards during the game, have further been fined €4,500.
Sources close to Celtic said the club was "stunned" and "astonished" by yesterday's turn of events.
Linfield supporters targeted Celtic players with projectiles, including coins, lighters and batteries, throughout the match.
Linfield's South Stand lower section 1 will be closed for one European game.
The case, dealt with by Uefa's Control, Ethics and Disciplinary Body, will be determined on 28 July.
After fans voiced their frustration on social media, Celtic TV chiefs took to Twitter to apologise for the blackout and eventually posted another link for the Hoops faithful to try.