Up to 30,000 of the impoverished ethnic group have abandoned their homes in Myanmar to escape the unfolding violence, the UN says, after troops poured into the narrow strip where they live earlier this month.
John McKissick, head of the United Nations refugee agency (UNHCR) in the Bangladeshi border town of Cox's Bazar, told the BBC that troops were "killing men, shooting them, slaughtering children, raping women, burning and looting houses, forcing these people to cross the river" into Bangladesh.
"It's very difficult for the Bangladeshi government to say the border is open because this would further encourage the government of Myanmar to continue the atrocities and push them out until they have achieved their ultimate goal of ethnic cleansing of the Muslim minority in Myanmar," McKissick said.
A spokesman for Myanmar President Htin Kyaw slammed the comments.
"I would like to question the professionalism and ethics which should be followed and respected by UN staff. He should speak based on concrete and true facts, he shouldn't make accusations," Zaw Htay told AFP.
In April 2013 Human Rights Watch said it was conducting a campaign of ethnic cleansing against the Rohingya - an accusation rejected by then president Thein Sein as a "smear campaign".
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