The attack, however, is not related to the ethnic conflict in lower Assam, police said adding it was due to personal enmity.
The three were on their way to the market place at Kajigaon when they were waylaid by a group of around a dozen people and attacked with sharp weapons, police said.
All the three injured have been admitted to a local hospital in Dhubri and their condition was stated to be critical.
An operation has been launched to apprehend the attackers.