Four of the critically injured have been referred to PGIMER at Chandigarh, they said.
The other injured passengers were admitted in civil hospital here. The drivers of both the buses were also received injuries.
One of the buses was on its way from Chandigarh to Sirsa while the other was going to Chandigarh from Kaithal.
The deceased are identified as 25-year-old Kiran, a resident of Panchkula and Manoj, a resident of Ellenabad and an employee of municipal committee.