A police probe got underway today following yesterday's Champion's League match.
Dutch hooligans were seen ripping up seats and throwing them at officials and Celtic fans.
The trouble is understood to have started in the Ajax section of the ground after James Forrest scored from the penalty spot to put Celtic 1-0 up.
Police have vowed to trace anyone responsible for the disruption.
A statement from Police Scotland, released today, confirmed an investigation was underway.
It read: "A full investigation is being carried out into the behaviour of a number of Dutch supporters.
"Our officers are reviewing CCTV images.
"Any information gleaned will be shared with our Dutch counterparts to identify those involved."
Meanwhile, UEFA has opened disciplinary proceedings against the Dutch club following the match.
A spokesman said: "Disciplinary proceedings have been opened against AFC Ajax for crowd disturbances and throwing of objects (article 16 of the UEFA Disciplinary Regulations) at last night's UEFA Champions League match in Glasgow against Celtic FC.
"The case will be dealt with by the UEFA Control and Disciplinary Body on 21 November."