After marriage, I bought a car with my own private money, and the name written is the joint property of husband and wife.

If the private money belongs to the personal property before marriage, the car bought with the private money still belongs to the personal property; If the private money is not pre-marital property, the car bought with the private money belongs to the joint property of husband and wife.

Relevant laws and regulations: Marriage Law of the People's Republic of China

Article 17 The following property acquired by husband and wife during the marriage relationship shall be jointly owned by husband and wife:

(1) Wages and bonuses;

(2) Income from production and operation;

(3) Income from intellectual property rights;

(4) Inherited or donated property, except as provided for in Item 3 of Article 18 of this Law;

(5) Other property that should be jointly owned.

Husband and wife have equal rights in dealing with common property.

"the Supreme People's Court on the application of

Article 19 The property owned by one spouse as stipulated in Article 18 of the Marriage Law shall not be converted into the joint property of the husband and wife due to the continuation of the marriage relationship. Unless otherwise agreed by the parties.