The incident occurred in the Debpur area early on Monday morning over a family dispute, said Chandpur Sadar Model Police Station OC Md Nasim Uddin.
The four members of the family have been identified as Mainuddin, 26, his wife Fatema, 24, and their two children Mithila, 5, and Piam, 1.
“He then strangled the two children as they slept. He committed suicide by hanging himself.”
According to locals, Mainuddin worked at a Chattogram bakery and had returned home on Sunday. He and his wife often argued.
“On Sunday afternoon Mainuddin hired some people to clean the family graveyard,” Rampur Union Parishad Chairman Al Mamun Patwari told reporters. “We had no idea something like this would happen.”
“A police team has been dispatched to the scene,” OC Md Nasim Uddin said. “They are investigating the matter.”