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She made the comments after talks with Secretary of State Hillary Clinton.
Mrs Clinton, for her part, warned Burma's military-backed government against "backsliding".
Western sanctions against Burma have already been loosened since the new government began enacting a series of political and social reforms.
Burmese President Thein Sein is also due in the US next week following his official trip to China.
In a speech at the US Institute of Peace in Washington, Aung San Suu Kyi said Burma had cleared the "first hurdle", adding that sanctions should be further eased as part of a partnership with the US.
"I do support the easing of sanctions, because I think that our people can start taking responsibility for their own destiny," she said.
Mrs Clinton warned against the possibility of "backsliding" if the military-backed leadership did not introduce further reforms.
The secretary of state said Burma's government and opposition "need to continue the work together to unite the country, heal the wounds of the past and carry the reforms forward".
She also voiced concern about Burma's recent sectarian clashes and the country's alleged links to North Korea.
Aung San Suu Kyi, who was freed from house arrest in 2010 and is now a member of parliament, arrived in the US on Monday for her first visit to the country in two decades.
What sparked the violence in June?
The rape and murder of a young Buddhist woman in Rakhine in May set off a chain of deadly religious clashes
Why was a state of emergency declared?
To allow the military to take over administrative control of the region
Who are the Rohingyas?
The UN describes them as a persecuted religious and linguistic minority from western Burma. The Burmese government says they are relatively recent migrants from the Indian sub-continent. Bangladesh already hosts several hundred thousand refugees from Burma and says it cannot take any more
It was the second meeting between the the Nobel laureate and Mrs Clinton, who visited Burma in December.
While in the US, Aung San Suu Kyi is scheduled to receive numerous awards, including the Congressional Gold Medal, the highest civilian honour in the US, on Wednesday.
She will also meet Burmese groups in different parts of the US.
But she is likely to face questions over the deadly ethnic conflict in western Rakhine state earlier this year.
The violence, between Burma's majority Buddhists and minority Muslims, was sparked by the rape and murder of a young Buddhist woman. Dozens of people died and thousands were displaced.
Rights groups have expressed concern over the fate of the Rohingya, a mostly Muslim group at the centre of the unrest who Burma says are not Burmese citizens but who have often been denied asylum in neighbouring countries.
Aung San Suu Kyi has remained relatively quiet on the issue, although has called in parliament for laws to protect the rights of ethnic minorities.
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