The victims are Sharif Mia, 30 and his wife Farida Begum, 30, residents of the area.
The accident took place on the ground floor of a three-story building, owned by one Mufti Nazrul Islam, around 7 am.
Quoting local people, police said hearing the big sound of explosion, local people rushed to the house and found the couple burn injured, said Mohammad Aslam, officer-in-charge of Fatullah Police Station.
Later, they were taken to Narayanganj 300-bed hospital where doctors referred them to the burn unit of Dhaka Medical College Hospital.
Bachhu Mia, inspector of Dhaka Medical College Hospital police camp, said Farida received 80 percent burn injuries while Sharif was slightly injured.
Police said the explosion might have occurred due to leakage in the gas pipe line.