Rohingya Muslims are considered to be among the world's most persecuted people.
Rohingya insurgents attacked police outposts in Myanmar on August 25, sparking a massive conflict with Myanmar's military.
The security operation targeting Rohingya Muslims in Myanmar "seems a textbook example of ethnic cleansing", the United Nations human rights chief says.
Dhaka, which initially tried to block the Rohingya from entering, said Monday it would start registering all new arrivals.
He also requested the global community to help Bangladesh with urgent humanitarian assistances to address the current crisis, support for transportation of the Rohingyas to Bhashan Char, as well as to provide political support to ensure sustainable return of all Myanmar nationals to their homes in Myanmar.
It regularly floods during June-September monsoons and, when seas are calm, pirates roam the nearby waters to kidnap fishermen for ransom.
It praised Prime Minister Narendra Modi for not entertaining calls by "bogus secularists" to give shelter to Rohingya refugees.
At least 477,000 hungry and traumatised refugees have sought refuge in Bangladesh since October 2016.
Foreign minister Abul Hassan Mahmood Ali has said neighbouring Myanmar is carrying out a genocide in the northern Rakhine state.
They urged the global community and human rights activists, in accordance with their respective obligations and commitments under the worldwide laws, to do all the acts necessary to protect the peaceful community of the Rohingya Muslims.
Image Zoom |By John Chalmers
He also criticised "official statements that refugees who have fled the violence will only be allowed back if they can provide "proof of nationality", pointing out that Myanmar since 1962 had been stripping Rohingyas of a wide range of rights, including citizenship rights.
Rohingya refugees say army operations against ARSA led to mass killings and the burning of hundreds of villages, sending them across the border.
Government spokesman, Zaw Htay said in a tweet that Myanmar have no policy to negotiate with terrorists and it would not negotiate with them.
We extend our support to the Rohingya community and others from the Rakhine state here in Malaysia who are agonising and helpless against the threats, terror and atrocities their families and friends in Myanmar are presently undergoing.
Analysts say years of state-backed repression contributed to the emergence last year of the Rohingya militant group, the Arakan Rohingya Salvation Army, whose attacks have triggered the worst violence to engulf the region in years.
Myanmar's de facto leader, Aung San Suu Kyi, has been criticized for her response to the violence.
It has posted photos of the basic weapons seized from people fighting under the ARSA banner, including petrol bombs and improvised explosive devices and has said its forces have been ambushed by groups of up to 150 at a time.
Three Rohingya are reported to have been killed by a mine near the border allegedly laid by Myanmar security forces to stop the fugitives returning.
The Myanmar government said 421 people had died. The UN has evacuated non-critical staff from the area over the past two weeks.
"The UN and INGOs have not been very welcome in Rakhine and.they are not able to operate and ensure the safety and security of their staff and volunteers", said Joy Singhal of the International Federation of Red Cross and Red Crescent Societies.