It has been a warm reception from the Obamas, but it may not be so easy in front of Congress.
The Chinese President is due to visit legislators today after the pomp and ceremony at the start of his four-day state visit to the US.
Both leaders say they are determined to have good relations, despite differences over the value of currencies, for example.
US President Obama said: “I told President Hu that we welcomed China’s increasing the flexibility of its currency. But I also had to say the RMB (renminbi, the official name for the Chinese yuan currency) remains undervalued, that there needs to be further adjustment in the exchange rate…So we’ll continue to look for the value of China’s currency to be increasingly driven by the market, which will help ensure that no nation has an undue economic advantage.”
On human rights, the Chinese leader appeared to accept his country had much to do, but he warned against what he called interference.
Hu Jintao, the Chinese President, said: “As President Obama rightly put it, though there are disagreements between China and the United States on the issue of human rights, China is willing to engage in dialogue and exchanges with the United States on the basis of mutual respect and the principle of non-interference in each other’s internal affairs.”
Protesters are vowing to be on the heels of the Chinese leader at every stage of his US trip.