UK Foreign Secretary Boris Johnson said the attacks were "besmirching the reputation" of the country following reports by a human rights group that people, including young children, have been burned alive in the country, while others have been beheaded.
Johnson said in a statement this week: "Aung San Suu Kyi is rightly regarded as one of the most inspiring figures of our age, but the treatment of the Rohingya is alas besmirching the reputation of Burma."
Rakhine, the poorest region in Myanmar, is home to more than a million Rohingya. They have faced decades of persecution in the Buddhist-majority country, where they are not considered citizens.
"It is vital that she receives the support of the Burmese military, and that her attempts at peacemaking are not frustrated. She and all in Burma will have our full support in this."
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Although Htin Kyaw was sworn in as President in 2016 - as Suu Kyi is constitutionally barred from holding the position - she is considered the de facto leader of the country.
Suu Kyi, who has the title State Counsellor of Myanmar, came to prominence in the 1990s when she was placed under house arrest by the military government.
Soldiers and armed residents have been accused of carrying out a killing spree against Rohingya Muslim men, women, and children in Chut Pyin village, leaving more than 200 dead.
Some have drowned while trying to make the journey.
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