Is china a common wealth country?

No, China is not a Commonwealth country. The countries that are members of the Commonwealth of Nations are former colonies, protectorates, or other territories of the British Empire. China was never a British colony, so it is not a member of the Commonwealth.

The Commonwealth of Nations is a voluntary association of 56 independent and sovereign states that share historical and cultural ties with the United Kingdom. The members of the Commonwealth cooperate in a variety of areas, including trade, development, and human rights.