Bangladesh security forces have also detained 75 Rohingya refugees, including women and children, when they were trying to cross the border into Bangladesh.
It is not known yet, how many people were on the boat, the official said.
Rohingya workers who tried to join a protest are seen detained under peaceful gathering Act and for documentation goal, according to police, near the Myanmar embassy in Kuala Lumpur, August 30, 2017.
The accident took place on Wednesday night in the river that divides Bangladesh and Myanmar.
One survivor told AFP the small, overcrowded boat he was travelling on had been tipped over by huge waves near where the Naf river opens out into the sea. "We don't know how many were on the boat", he said.
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Informed by Subrang Union Parishad member Nurul Amin, law enforcers recovered bodies of two children around 11:30pm yesterday, OC Main Uddin said.
Though Border Guard Bangladesh (BGB) remains active against trespassing, more than 10,000 Rohingyas have already managed to get into Bangladesh through several points of the 274km Bangladesh-Myanmar border of Cox's Bazar and Bandarban.
The protesters were there to demonstrate against the treatment of the Rohingya people by the Myanmar government.
Dhaka - At least 21 people have been drowned after boats carrying Rohingya Muslims capsized in south-eastern Naf river in the last couple of days, officials said.
Media access to Rakhine is restricted, but on Wednesday an AFP reporter on a government-led trip in the worst-hit section of the state saw plumes of smoke billowing from several burning villages.
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