The deceased were identified as Nehed Ali, 55, and his elder brother Gokul Ali, 60, sons of late Chand Ali of the village.
Jahangir Alam, officer-in-charge of Kumarkhali Police Station, said the followers of Chapra union unit Awami League president Abdur Rajjak and UP member Firoz Ahmed locked into an altercation on Monday over playing cricket.
Following this altercation, the two groups again engaged in a clash in the locality on Tuesday evening when a chase and counter-chase took place, leaving Nehed and Gokul critically injured.
They were taken to Kushtia General Hospital where doctors pronounced the duo dead.
On information, police rushed in and brought the situation under control.
Additional policemen were deployed in the area to avoid further clash, the OC added.