Wang and Kerry also discussed the crisis in Syria, China's Foreign Ministry added in a statement released on Monday.
During the meeting, Kerry asked his Chinese counterpart to continue its constructive role in redesigning of Iran's Arak Heavy Water Reactor.
The two officials welcome the recent UN Security Council resolution on Syria.
During the meeting, Wang stressed Syrian people's role in forming the country's political future.
Wang said the world is becoming a more challenging place.
The United States needs to respect China's core interests, including stopping selling weapons to Taiwan and ending military patrols close to islets controlled by China in the South China Sea, China's foreign minister told his US counterpart.
'As the US seeks cooperation with China, it ought to respect China's core interests and important matters of concern,' the statement paraphrased Wang as saying.
Wang explained to Kerry China's position on Taiwan and the South China Sea, asking the United States to end arms sales to the self-ruled island and stop 'shows of force' with ship and aircraft patrols close to Chinese-controlled Island in the disputed South China Sea, the statement added.
By IRNA
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