Kondotty Circle Inspector B Santosh, the Investigating Officer in the case, said the four were identified after review of CCTV footage of the incident.
The arrests followed a complaint by AAI with regard to damage to airport property.
CCTV footage had shown CISF personnel going on a rampage and damaging property at the airport, apparently after hearing of the death of their colleague, he said.
Yesterday, police had registered a case against a Sub Inspector of the force S S Choudhary and 100 CISF personnel in connection with the clash.
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A bullet from Choudhary's firearm had accidentally hit the jawan, causing his death, according to the police. The SI had suffered injuries in his left palm during the incident and is being treated.
Police had earlier arrested nine AAI officials on a complaint from CISF commander Biju. They were produced in court yesterday and remanded in judicial custody till June 27.
After the violence, the airport was temporarily closed and flights were diverted to Nedumbassery Airport in Kochi that night. Flight operations resumed the next day.