Chen hoped the two sides would respect each other, build mutual trust and settle their differences properly to further boost the relations between the two countries and their armed forces.
After the meeting, Chen held a joint press conference together with Mike Mullen, chairman of the U.S. Joint Chiefs of Staff.
Earlier Wednesday morning, Chen met U.S. Secretary of State Hillary Clinton, saying his visit to the U.S. was part of efforts to implement the consensus reached by Chinese President Hu Jintao and U.S. President Barack Obama.
He hoped the two sides would strengthen dialogue and communications, respect each others' core interests, properly settle differences, and continuously advance the ties between the Chinese and U.S. armed forces.
Clinton said a sound and stable relationship between the U.S. and China, the two most important big countries in the world, was very important.
She believed Chen's visit would not only push ahead the ties between the armed forces of the two countries, but would also help establish a partnership between the two countries.
Before meeting the U.S. secretary of state, Chen had breakfast with some U.S. congressmen and exchanged views on ties between the two countries and their armed forces.
Chen arrived here Sunday, leading a high-ranking delegation for a week-long official visit to the United States.