Garda Commissioner Drew Harris has said the violence at Dublin Airport last night is regrettable.
Gardaí are investigating a number of violent incidents where fights broke out at Terminal 1.
A number of people were refused permission to fly and one man was treated at Beaumont Hospital for his injuries.
Another man has been charged and is due in court on 14 June.
The fight - footage of which has been circulated on social media - involved a number of men and continued for approximately 10 to 15 minutes in Terminal 1.
Gardaí subsequently arrived at the scene and arrested a man in his 20s.
Passengers and airline staff can be seen moving away as three men punch and kick each other.
The Minister for Justice condemned the violence and said it was "absolutely not acceptable" with people queuing up to go on holidays, with children around, they do not need to see this behaviour.
Helen McEntee opened a new garda station at the airport just two weeks ago.
Speaking on RTÉ's News at One, Ms McEntee said there now needs to be an assessment of the incident, the garda response time and how it can be improved.
"We need to learn from this," she added.
Commissioner Harris said an investigation into a number of assaults was under way and gardaí would also look at the incident in more detail and examine their response time.
He said there are 50 personnel at the new garda station, but he did not know the exact response time to the incidents.
Commissioner Harris said gardaí deployed sufficient resources to make sure that order was resolved.