The United Nations said 2,94,000 bedraggled and exhausted Rohingya refugees have arrived in Bangladesh since the militants' attacks on Myanmar security forces in neighbouring Rakhine state on August 25 triggered a major military backlash.
Bangladesh's foreign minister said today that "genocide" was being waged in Rakhine state.
Tens of thousands of Rohingya are believed to be on the move inside Rakhine after more than a fortnight without shelter, food and water.
It urged "all humanitarian actors" to resume aid delivery to "all victims of humanitarian crisis irrespective of ethnic or religious background" during the one-month ceasefire until October 9.
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International aid programmes in Rakhine have been severely curtailed over safety concerns due to the fighting.
In addition to Rohingya, some 27,000 ethnic Rakhine Buddhists and Hindus have also fled violence in northern Rakhine.
ARSA called on Myanmar to "reciprocate this humanitarian pause" in fighting.
Myanmar, which has previously labelled ARSA as "terrorists", appeared to reject the overture.
Aung San Suu Kyi's government has come in for strong international criticism over the military's treatment of the Rohingya -- including the alleged laying of mines along the border to prevent those who fled from returning.
Three Rohingya are reported to have been killed by a mine and others including children have been injured.
Rohingya refugees say army operations against ARSA led to mass killing of civilians and the burning of villages, sending them across the border.
Mainly Buddhist Myanmar does not recognise its stateless Muslim Rohingya community, labelling them "Bengalis".
"Should all people be killed? Should all villages be burnt? It is not acceptable," he told reporters after briefing diplomats in Dhaka today.
"The international community is saying it is a genocide. We also say it is a genocide," he said.
Members of the Organization of Islamic Cooperation (OIC) gathered in Kazakhstan's capital Astana today expressed "serious concern about recent systematic brutal acts committed by the armed forces" in Myanmar, calling for international monitors to be accepted into the country.
Thousands are arriving in Bangladesh each day, joining overcrowded camps of Rohingya who have fled Myanmar over decades of troubles.
The UN has appealed for urgent donations of USD 77 million.
Bangladesh already hosts around 4,00,000 Rohingya from previous crises.
The Red Cross in Bangladesh welcomed the ceasefire pledge as aid agencies struggle to meet the needs of an "overwhelming crisis".
"How can you handle such a big influx of people? They want shelter, they want a safe place," Misada Saif, Prevention and Communication Coordinator of the ICRC Bangladesh delegation, told AFP.
"We went to all the camps but there was no place to stay. That's why we came here," she told AFP. "If we have to move from here, where will we go? We will die."
Rohingya refugees in Bangladesh say ethnic Rakhine Buddhists joined Myanmar's security forces in the indiscriminate killing of villagers.
But ethnic Rakhine villagers accuse militants of murdering civilians while the government says fleeing Rohingya set fire to their own homes to foment anger against the authorities.
"They (Myanmar army) are saying 'go away or we'll burn all of you'. How can we believe a ceasefire will have any effect?" Hafez Ahmed, 60, told AFP.
But Hashem Ullah, a 33-year-old farmer from a village west of Maungdaw, said he would return "if I got compensation, and they accept us as Rohingya".
"How can we live like this here?" he added, gesturing to the swampy earth.
ARSA says it is fighting to defend the Rohingya from persecution in Myanmar.
But Myanmar labels them "extremist Bengali terrorists".
The first ARSA attacks in October last year were less ambitious, but the subsequent military response by a security force notorious for its scorched-earth response sent 90,000 Rohingya fleeing across the border.
That means over a third of the estimated 1.1 million Rohingya in Rakhine state have fled in less than a year.