A 25-year-old woman and her five-year-old daughter were found dead in the city's Deshipara area on Wednesday night.
The identities of the deceased could not be known immediately.
After being alerted by local residents, a police team rushed to the spot and took the bodies into custody around 10 pm, said Ripon Chandra, assistant commissioner of police (sadar zone).
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Police suspect the assailants slit the throats of the mother-daughter duo with sharp weapons. “A probe is on to ascertain the reason behind the killings,” said Ripon.
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The bodies were sent to the morgue of Shaheed Tajuddin Ahmed Medical College and Hospital for post-mortem.