"The international community is saying it is a genocide. We also say it is a genocide," AH Mahmood Ali told reporters after briefing diplomats in Dhaka.
Ali met Western and Arab diplomats and the heads of UN agencies based in Bangladesh to seek support for a political solution and humanitarian aid for the Rohingya.
He told the diplomats that some 3,00,000 Rohingya had fled to Bangladesh in the past two weeks, taking the total number of such refugees in the country to over 7,00,000.
At least two diplomats who attended the briefings said the minister told them as many as 3,000 people may have been killed in the latest round of violence.
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The United Nations says 2,94,000 bedraggled and exhausted Rohingya refugees have arrived in Bangladesh since attacks by Rohingya militants on Myanmar security forces in Rakhine on August 25 sparked a major military backlash.
Tens of thousands more are believed to be on the move inside Rakhine.
Mainly Buddhist Myanmar does not recognise its stateless Muslim Rohingya community, labelling them "Bengalis" -- illegal immigrants from Bangladesh.
He said the Rohingya Muslims in Rakhine are a "mixed group of people" with a history dating back 1,500 years and ancestors included Arab and Indian-origin people.
Ali described actions following the militant attacks on security forces on August 25 as "revenge" by Myanmar troops.
"Should all people be killed? Should all villages be burnt? It is not acceptable," he said, adding Dhaka was seeking a peaceful solution, not a "war" against Myanmar.
"We did not create the problem. Since the problem started in Myanmar, that's why they should resolve. We have said we'll help them," he said, adding that the problem took a "new turn" after the August 25 attacks.
Ali called on the international community to urge the Myanmar government to immediately implement the recommendations of the commission's report "in its entirety".