The parents of a foreign infant born in China or their agent shall, within one month after its birth, report to the local public security bureau.

China does not recognize dual nationality. If one of the infant's parents is a foreign national and the other is a Chinese national but has permanent residence status in a foreign country, the infant, if he/she will reside in a foreign country after birth and have foreign nationality, shall first apply for quitting his/her Chinese nationality and then, upon approval, go through the birth registration procedures for expats.

How to renounce the Chinese nationality for an infant

The parents or their agent shall submit the following documents to the exit-and-entry department of the public security organs:

• The infant's birth certificate
• His/her parent's foreign passport and foreigner's residence permit 
• His/her parent's Chinese passport and documents supporting their residence in a foreign country.

If an infant who has acquired foreign nationality at birth or has, upon approval, quitted Chinese nationality and acquired foreign nationality shares the same passport with the parent, he/she may, as an accompanying person, share the same visa or foreigners' residence certificate with the parent.

If the infant has a separate passport, he/she may, as an accompanying person, share the same visa or foreigners' residence certificate with the parent, or go through separately the application procedures for visas or foreigners' residence certificates.

Source: govt.chinadaily.com.cn