The bodies have been sent to the morgue in Manikganj Sadar Hospital.
Rubel slashed the throats of his wife and daughters after a fight early in the morning, police said citing some locals.
"A case is being prepared over the matter. We are keeping an eye on Rubel and will provide more details later,” said Biplob.
Rubel tied the knot with Lovely after a love affair and he used to live at his in- laws' home, according to Baliakhora Union Council Chairman Awal Khan.
“What we know is that Rubel was burdened with debt and was quite frustrated over the issue. They were having domestic problems which got worse by the day. Neighbours say he killed his wife and daughters because of this.”
