The dead were identified as Rahmatullah alias Lengta Fakir, 52, and the mazar’s caretaker M Quader, 25.
CMP deputy commissioner Paritosh Ghosh told media that a young man entered ‘Lengta Fakirer Mazar’ in the port city at about 2pm and slaughtered them, police said.
Sensing the murder, local people chased the man for about two kilometers. But, a number of cocktails were blasted at them, leaving three injured, he added.
ASI Pankaj Barua of Chittagong Medical College Hospital police outpost said the due were brought to the hospital at about 2:30pm where doctors declared them dead.
Police yet to confirm the reason behind the killings.