Nearly 40% of all Rohingya villages in Myanmar's Rakhine State are now empty, a government spokesperson has confirmed.
Human Rights Watch and Amnesty International had accused the Security Council on Tuesday of ignoring large-scale "ethnic cleansing" of the Rohingyas and demanded that it hold an open meeting and urge an end to the violence.
Many of their homes and villages have been set alight by Myanmar security forces.
He went on to tell the state counsellor that there was "the urgent need for Myanmar's military and civilian leaders to take a strong stand in ending violence, promoting the protection of civilians and promoting unimpeded access for the United Nations and worldwide humanitarian actors".
Combined with the Rohingyas who fled during the last round of violence in Rakhine state last October, Dujarric said "it's estimated that some 40 per cent of the total Rohingya population have now fled into Bangladesh".
Hasina further said that the atrocities carried by the Myanmar authorities were beyond description.
Myanmar government spokesman Zaw Htay said he did not have information about the incidents Bangladesh had complained about but Myanmar had denied an earlier accusation. He said, "The humanitarian situation it is catastrophic".
Global pressure has been growing on Buddhist-majority Myanmar to end the violence in the western state of Rakhine that began on Aug 25 when Rohingya militants attacked about 30 police posts and an army camp.
Recently, a Rohingya militant group coordinated a series of attacks on police and military in Myanmar.
The crisis has raised questions about Buddhist-majority Myanmar's transition to civilian rule under the leadership of Nobel laureate Aung San Suu Kyi following decades of military rule.
"We are urgently appealing for more funds (for assistance)", he said.
When asked at a press conference in NY whether he would describe the violence against Rohingya Muslims as "ethnic cleansing", he replied: "When one-third of the Rohingya population has got to flee the country, can you find a better word to describe it?"