Speaking after two days of talks between Chinese and US officials in Washington, Mrs Clinton said both countries feared that the Middle East and the Gulf region would be destabilised if Iran became a nuclear state.
She also described the scope of the talks between the two countries as unprecedented.
At the conclusion of the first round of what will be an annual 'Strategic and Economic Dialogue,' the countries agreed to take steps to rebalance the global economy and maintain stimulus spending until economic recovery is secured.
They also signed a memorandum on climate change, energy and the environment without setting any firm goals, and pledged their support for free trade.
Both countries also agreed they need to reconfigure their economies so that China is less reliant on exports for growth and the US resumes saving and investment to stop the boom-and-bust cycle.
Mrs Clinton lauded the discussions as a symbol of 30 years of progress between two countries with a history of deep diplomatic and ideological divides.
However, on issues from North Korea to human rights, Mrs Clinton said little more than that the two sides had talked.
Exiled Uighur leader says 10,000 'disappeared'
Exiled Uighur leader Rebiya Kadeer said Wednesday that nearly 10,000 people 'disappeared in one night' during ethnic unrest in the Chinese city of Urumqi early this month.
'Close to 10,000 people in Urumqi disappeared in one night. Where did those people go?' she said in Japan.
Kadeer (62) the US-based head of the World Uighur Congress, charged: 'The Chinese government is trying to destroy the Uighur people.'
Beijing accuses the mother-of-11 and grandmother of being a 'criminal' who instigated the unrest pitting Uighurs against Han Chinese in China's Xinjiang region, which the government says left 197 people dead.
