The suspects were produced before courts after surrendering to the Galle police.
These suspects are said to be residents of the Vanchawala and Kadurudoowa areas.
Earlier, two suspects were arrested and questioned over the brutal act.
A photograph in which some men are seen attempting to kill an eagle in an inhumane manner after plucking off its feathers and cutting off its claws went viral on social media and news websites, sparking social outrage.