"This can not lead to repeat of last year's vicious military reprisals responding to a similar attack, when security forces tortured, killed and raped Rohingya people and burned down whole villages".
Dozens have been killed in the ongoing clashes between Rohingya militants and Myanmar security forces.
It now appears to have spawned a potent insurgency which has grown in size, observers say.
Rakhine state, in western Myanmar, is home to more than a million Rohingya Muslims.
UN Secretary-general Antonio Guterres has expressed concern over the attacks on the Myanmar security forces by Rohingya militants in the northern Rakhine State and hoped that the perpetrators will be brought to justice.
"I would like to commend the members of the police and security forces who have acted with great courage in the face of many challenges", Suu Kyi said.
Myanmar denies the Muslim Rohingya citizenship, claiming they are immigrants from neighbouring Bangladesh, which also disowns them.
The military announced the casualties on August 25, saying the attacks took place overnight on police and border outposts.
The UN's top official in Myanmar, Renata Lok-Dessallien, called on all sides to "refrain from violence, protect civilians (and) restore law and order".
The death toll from widespread attacks staged by Rohingya insurgents on Friday has climbed to 96, including almost 80 insurgents and 12 members of the security forces, the government said, prompting it to evacuate staff and villagers from some areas.
The police, in retaliation, killed 77 people, who the security officials identify as Rohingya militants.
Police officer Kyaw Win Tun said the insurgents burned down the post and police had been called to gather at a main station.
One Maungdaw resident, a provincial government employee, told VOA that although Buddhist Rakhines fear for their safety, "there is no way out of here".
The attacks by a Rohingya insurgent group came the day after the Advisory Commission on Rakhine State - led by former United Nations chief Kofi Annan - announced its final recommendations on how to ease tensions in the troubled region. Fighting was ongoing when the government released the news.
"We have been taking our defensive actions against the Burmese marauding forces in more than 25 different places across the region".
Myanmar says the group is headed by Rohingya jihadists who were trained overseas but it is unclear how large the network is and they appear to be using homespun weapons in addition to guns seized during their raids.