The incident occurred yesterday at Balukhali in Cox's Bazar district where tens of thousands of Muslim Rohingya have camped for weeks after fleeing violence in Myanmar's Rakhine state.
"Two children and one woman were killed in a stampede during an unauthorised clothing distribution on the road in Balukhali Pan Bazar area," said a report prepared by a group of UN agencies and two charities.
"Despite local regulations and the control room established, private distributions of relief items continue," it said, highlighting chaotic aid management that has drawn flak from rights workers.
A local rights expert slammed the government for the chaotic relief management, saying fights were breaking out each time an aid truck arrived and when food sacks were thrown to the refugees.
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Two police officials told AFP however that they were unaware of any deaths of refugees due to a stampede in the Rohingya camps.
"We know two Rohingya have died on Friday at Balukhali area. They included a six-month-old baby who died of pneumonia," local police chief Mohammed Kai-Kislu said.
The UN said today that 409,000 Rohingya have fled violence-wracked Rakhine state since August 25 when attacks by Rohingya rebels on security forces prompted a major crackdown by the Myanmar army.
Most Rohingya, who spent more than a week trekking cross-country from Rakhine to the Bangladesh border, have found camps overflowing and been forced to camp on muddy roadsides.