The deceased were identified as Md Shah and Abdur Shukkur of Jadimura Rohingya Camp in Teknaf.
Tipped off that Rohingya criminals were gathering beside Jadimura Hill, police conducted a drive there around 1:30 am, said Pradip Kumar Das, officer-in-charge of Teknaf Police Station.
Sensing the presence of police, the youths opened fire on them, forcing them to fire back in self-defence that triggered a gunfight, the OC said.
After the gunfight, he said, police rescued the two injured from the spot and got them admitted to Teknaf Upazila Health Complex from where they were shifted to Cox’s Bazar Sadar Hospital where doctors declared them dead.
Pradip Kumar said police recovered two guns, nine rounds of bullet from the spot.
On Thursday night, Jubo League leader Omar Faruk, 30, was shot dead at Jadimura in Teknafupazila allegedly by a group of Rohingya criminals.
On Friday afternoon, hundreds of agitated locals stormed a Rohingya camp and vandalised makeshift houses and NGO offices following the murder of the local Jubo League leader.
They burned tyres and plastic boxes to block a five-kilometre road from Teknaf municipality to Leda Point for three hours. The residence of Rohingya leader Noor Mohammad was also torched.
OC Pradip Kumar said they persuaded the agitated locals to end their blockade around 3pm assuring them of arresting the killers and bringing them to justice.