State media say security forces have killed at least 29 people in a military crackdown after raids on guard posts along the Bangladesh border which the government blamed on insurgents.
The area is home to many Rohingya, a persecuted Muslim minority in the overwhelmingly Buddhist country.
Hundreds protest in Myanmar over Suu Kyi's panel on Rohingya Muslims
"We as a nation are struggling to make the democratic culture take root," Suu Kyi told reporters after meeting Indian Prime Minister Narendra Modi on her first official visit to New Delhi.
"We too have many challenges to face, but we are confident that these challenges can be overcome because our people are determined to overcome them."
Suu Kyi won a historic election victory last year and her administration is managing a difficult transition from a military-run pariah nation to full-fledged democracy.
After spending much of the last few decades under arrest, she is now officially foreign minister and self-appointed state counsellor -- a role akin to prime minister.
Myanmar's Suu Kyi to visit India next week
But her country remains riven with ethnic and religious violence and she has disappointed some of her supporters by refusing publicly to recognise the Rohingya as legal citizens.
Tens of thousands of stateless Rohingya have spent the past four years trapped in bleak displacement camps with limited access to health care and other basic services.
Suu Kyi said her country had suffered from a lack of peace and stability for many decades and looked to neighbouring India for help in developing as a democracy.
Modi said India, which strongly supported Suu Kyi during her time in opposition, stood "shoulder to shoulder" with Myanmar.
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