Talking to reporters here, Tillerson also likened the violence against Myanmar's Rohingya Muslims to ethnic cleansing.
One of the dozens of boats carrying Rohingya to the Bangladeshi border town of Teknaf capsized on Thursday and at least two people drowned, police said.
"Members of the Security Council expressed deep concern about the situation in the Rakhine state, acknowledging the initial attack on Myanmar security forces on 25 August they condemned the subsequent violence which has led to over 370,000 people being displaced", Alemu said. We want the lies and accusations of ethnic cleansing and genocide to stop so we're protesting together in front of the United Nations office here in Shibuya, Tokyo.
"It is a defining moment, in many ways, for this new emerging democracy, although it is a power-sharing arrangement", Tillerson said. Suu Kyi, who is the de facto head of government in the nation also known as Burma, said it was important that violations of human rights be addressed, the Kentucky Republican said on the Senate floor.
Violence in Myanmar has invited reactions from around the world.
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The Myanmar government "and State Counsellor Aung San Suu Kyi in particular, should condemn unequivocally all incitement to racial or religious hatred and combat social discrimination and hostilities against the Rohingya minority", said the resolution.
"I call on Myanmar authorities to suspend military action, end the violence, uphold the rule of law and recognize the right of return of all those who had to leave the country".
China and India might have commercial, economic and strategic interests in Myanmar besides New Delhi's general apathy and callousness towards Muslims but both Beijing and New Delhi must realise that by supporting Myanmar they would be doing injustice to a hapless community.
The Rohingya group fighting in Myanmar's western region of denied any links to global terror groups, saying they have no ties to any terrorist groups.