Rohingya insurgents attacked police posts on August 25, and Myanmar's military retaliated with what it calls "clearance operations" to root out rebels.
Suu Kyi has refused to condemn the military's violent crackdown, which in turn has led to calls that she be stripped of her peace prize.
Remarkably silent throughout the current crisis has been 1991 Nobel Peace Prize victor Aung San Suu Kyi, who while she leads the nation's civilian government does not control its military.
Tiran Hassan, Amnesty International's emergencies director, spoke by video from Cox's Bazar in southeastern Bangladesh where the Rohingyas have arrived in what she called "a sea of human misery". "Tomorrow we are expecting an airlift of relief supplies for 20,000 people", Tan said.
Bangladesh was already home to about 400,000 Rohingya who fled earlier conflict and numerous new refugees are hungry and sick, without shelter or clean water.
Washington has also condemned the displacement of the Rohingya and called on Myanmar to end the violence.
But many of those who have fled say troops responded to attacks by Rohingya militants on August 25 with a brutal campaign of violence and burning of village aimed at driving them out.
"Since 2014, the OIC has warned that if the government of Myanmar continues to destroy homes, kill innocent civilians and humiliate entire population without any recourse to justice this will create a breeding ground for recruitment by extremist elements". Myanmar authorities deny that their forces have been setting the fires.
Sympathisers say her hands are tied by the army, which still runs a chunk of the government and has complete control over all security matters.
In Bangladesh, Kutupalong and another pre-existing Rohingya camp were already beyond capacity.
Meanwhile, Head of the Relief and Rescue Organization of the IRCS Morteza Salimi said the Islamic Republic is also prepared to set up field hospitals for Rohingya Muslims in Bangladesh.
Cox's Bazar, Bangladesh: The number of Rohingya who have fled violence in Myanmar's Rakhine state to Bangladesh since 25 August has reached 313,000, a United Nations spokesman said on Monday.
"We have to verify them".
The recent exodus follows another similar one last October after an aggressive military offensive by the Myanmar Army - following an attack by Rohingya rebels on border posts - triggered the exodus of more than 80,000 Rohingyas.