If he is successful, the court can prohibit the moving parent from moving with the child. (info.legalzoom.com)
If you have sole custody of the child, you will usually be allowed to move with the children without any legal permissions. (garwoodfamilylaw.com)
In addition to the other parent's consent, most states require a court order before a divorced parent can move with her children out of the state. (info.legalzoom.com)