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The US "welcomes a rising China that is peaceful, stable, prosperous, and a responsible player in global affairs," Rice said.

Rice also acknowledged that it is natural that China takes on greater leadership to match its economic development and growing capabilities. "When China is invested in helping resolve regional and global problems, the United States - and the world - benefits," she said.

"And, we will continue taking steps to build a productive, cooperative relationship with China that delivers benefits for both our peoples. That's a central pillar of our strategy in Asia," she said.

Rice listed the achievements of the deeper engagement and cooperation between the two sides in various fields, such as enhancing bilateral trade, dialogues, people's and the military-to-military exchanges, and strengthening cooperation on many global issues including the Iranian nuclear talks, denuclearization of the Korean Peninsula, Afghanistan, climate change, and fighting the Ebola epidemic.

"So, we are steadily and methodically expanding the breadth and depth of our cooperation with China. Our story is, overwhelmingly, one of progress," Rice said. "Still, the reality is we face difficult challenges. And, we never shy away from pressing our concerns."

Meanwhile, Rice highlighted some of the major differences between the two countries on issues such as China's economic policies, cyber security, maritime disputes in East and South China Seas, and human rights.

She predicted that the two presidents will discuss these issues during their summit meeting at the White House Friday.

"This is a vital relationship of the 21st century, and we have to be upfront about our differences, because they are preventing us from reaching the full potential of our cooperation," Rice said.

"We want the Chinese people to succeed. When China and the United States work together, the world is more secure and more prosperous. That's the truth," she said.

At a final note, Rice vowed that building a stable, productive, and resilient relationship with China "will remain at the center of American foreign policy for years to come."