The father was also critically injured in the accident
The accident occurred near a place called Doctor's intersection in Naogaon-Rajshahi highway around 8:45am on Monday.
The deceased are - Adori Begum, 25, and her daughter Shampa, 6, hailing from sadar upazila of the district.
Adori's husband Shahid Hossain was critically injured in the accident. He has been sent to Naogaon Sadar Hospital for treatment, Naogaon Fire Service Deputy Assistant Director AKM Murshed told Dhaka Tribune.
He said: "The three of them were standing at a bus stop near Doctor's intersection area, waiting for their bus to arrive.”
"A truck coming from Naogaon city ran over them while trying to overtake a microbus, killing Adori and Shampa on spot and injuring Shahid critically."
Although locals have seized the truck, its driver and helper have managed to flee, he added.