Local people spotted the bodies of the two people, aged about 20 and 25, around 3 pm and informed police about it, said Shahzaman, officer-in-charge of South Keraniganj Model Police Station.
Later, police recovered the bodies and sent those to Mitford Hospital morgue for autopsy, the OC said.
It was not clear how the two young men were killed.
Earlier on Sunday night, police recovered the floating body of an unidentified man, aged around 35, from the river here.
On Friday, police recovered the bullet-hit bodies of three friends from 300 Feet area of Purbachal in Narayanganj district.
Yet in another incident on Sunday, the bullet-hit bodies of two brothers were recovered from Sharsha and Keshabpur upazilas in Jashore district.