It was her first address to the country about the violence in northern Rakhine state that has seen more than 400,000 Rohingya Muslims cross into Bangladesh.
Ms Suu Kyi has faced heavy criticism for her response to the crisis.
In her speech in English to Myanmar's parliament, Aung San Suu Kyi said she felt "deeply" for the suffering of "all people" in the conflict, and that Myanmar was "committed to a sustainable solution… for all communities in this state".
Ms Suu Kyi, who has decided not to attend the UN General Assembly in New York later this week, said she nevertheless wanted the international community to know what was being done by her government.
Hours after her speech, the UN Human Rights Council in Geneva called for full access to the region so it can investigate the situation "with its own eyes".
What is the crisis about?
Rakhine has faced unrest and sporadic violence for years, but the current crisis began in August with an armed attack on police posts which killed 12 people.
That was blamed on a newly emerged militant group, the Arakan Rohingya Salvation Army (Arsa).
The Rohingya, a mostly Muslim minority, are denied citizenship and equal opportunities by the Myanmar government, which says they are illegal immigrants from Bangladesh. They are largely despised by the wider Burmese majority-Buddhist population.
Who are the Rohingya group behind attacks?
What sparked latest violence in Rakhine?
The attack lead to a massive security crackdown by the military, which the UN's human rights chief later said seemed like a "textbook example of ethnic cleansing".
Rohingya Muslims started leaving in vast numbers, crossing into Bangladesh with tales of their villages being burned and saying they were facing persecution at the hands of the military. Thousands of Rohingya had already fled to Bangladesh in recent years.
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