1. Whether the custody of a wife's derailed child will belong to the husband depends on the situation:

(1) General infidelity will not fundamentally affect the judge's handling of custody of married children;

(2) If the cheating behavior is frequent, open and long-term, it will greatly affect the judge's judgment on whether the cheating party is suitable for raising married children.

2. Legal basis: Article 1084 of the Civil Code of People's Republic of China (PRC).

The relationship between parents and children is not eliminated by parents' divorce. After the divorce, the child is still the child of both parents, whether or not the parents directly raise him.

After divorce, parents still have the right and obligation to raise, educate and protect their children.

After divorce, children under two years old are directly raised by their mothers. For a child who has reached the age of two, if both parents fail to reach an agreement on the issue of support, the people's court shall make a judgment based on the specific circumstances of both parties and the principle of being most beneficial to the minor children. Children over the age of eight should respect their true wishes.

Second, what should I do if my wife is derailed?

The treatment of cheating on his wife is as follows:

1, couples can communicate and choose solutions;

2. If the man decides to divorce and both parties agree to divorce, they can divorce by agreement, just go to the marriage registration office for divorce registration and confirm that both parties have properly handled the children's issues and property issues;

3. If the man unilaterally files for divorce, but the woman does not agree to divorce, it needs to be enforced through legal procedures, and the lawyer's assistance and help are needed in the process.