The clash, where guns and crude bombs were used by both the sides, involved the residents of Alanda and Patana villages, police said.
Both the groups were demanding their rights over fishing in a particular area of the lake.
While the critically injured persons have been shifted to MKCG Medical College Hospital at Brahampur, others have been admitted to the nearby government hospitals.
All the injured persons had gun shot injuries, said Puri sadar SDPO Alekh Chandra Pathi.