The first marriage of a party who has not gone through marriage registration does not belong to the husband and wife stipulated in the Marriage Law, and has no marital relationship. Therefore, when the party marries again, it will not constitute the crime of bigamy.
Relevant laws and regulations
Criminal Law of the People's Republic of China
Article 258 Whoever has a spouse and commits bigamy, or knowingly marries another person who has a spouse, shall be sentenced to fixed-term imprisonment of not more than two years or criminal detention.