The deceased were identified as Rahela Begum and her daughter Shefali Begum, residents of Rampura village in Palashbari upazila.
Witness said the accident took place on Rangpur-Bogura Highway around 11:30pm when a Chattogram-bound Hanif Paribahan bus collided with a bamboo-laden truck.
Rahela and Shefali were critically injured. Rahela succumbed to her injuries when they were being taken to Palashbari Hospital.
Shefali died on Wednesday morning, said Sub-Inspector Shahin of Gobindaganj Police Station.