Two Celtic fans have been arrested after allegedly jeering during the minute's silence ahead of their side's Remembrance Sunday clash against Aberdeen.
Another supporter was charged with what police described as another "disorder-related" offence during the match, while a fourth fan was arrested and charged for allegedly breaching bail conditions.
Hoops manager Ronny Deila said he was "disappointed" by the minority of fans who failed to observe the mark of respect for the fallen servicemen.
"Sometimes some people are not respectful," he said. "It's very, very important for Celtic to be respectful."
It is not the first time the club has courted controversy surrounding Remembrance Sunday and the symbol of the poppy.
The club's strip carried the poppy symbol for a game four years ago, an decision that caused a group of Celtic fans to unfurl a banner protesting against the "blood-stained poppy on our hoops".
Last week, Celtic's charity donated £10,000 to Poppyscotland and published a story on its official website detailing the Celtic players who died during World War I.