"The terrorist threat is on the rise," Xi told reporters at a joint media appearance with his US counterpart Barack Obama.
He said the US and China have growing responsibilities for promoting peace and stability in the world.
"As the largest developing country and the largest developed country, and also as the world's top two economies, China and the United States have growing responsibilities for promoting world peace, stability and prosperity. There are wide areas where we should and we can work with each other," the Chinese President said with Obama standing by his side.
Welcoming Xi to Washington to attend the two-day Nuclear Security Summit, Obama said he looks forward to working with his Chinese counterpart on global economy.
"As the world's two largest economies, we have a special obligation to find cooperative measures that we can take to expand growth and global demand," he said.
Obama said during their meeting, they would have "candid exchange" about areas where they have significant differences -- issues like human rights, cyber and maritime issues.