Matrimonial matters and matters of parental responsibility concern both personal legal status and public interest. Prior to the legislation of application of international jurisdiction over matrimonial matters and matters of parental responsibility involving foreign elements, there were debates on theories on application of Article 568 of the Code of Civil Procedure. According to the Statistics Department of Ministry of the Interior international marriage increases noticeably in recent years, meanwhile, divorce matters and litigations on child custody have also multiplied, such as In re Iruan Ergui Wu and In re Emily Juan. There are 27 member states in European Union. With the development of markets within EU, it necessarily comes with the more often traveling among member states, which is the inevitable requirement and result in the same time of development of common market. Issues on jurisdiction matter recognition and enforcement of judgments. However, the existing regulations can’t resolve issues on jurisdiction, neither recognition and enforcement of judgments, and EU is expecting a uniform regulation to answer those issues. Council Regulation “Concerning Jurisdiction and the Recognition and Enforcement of Judgments in Matrimonial Matters and the Matters of Parental Responsibility” promulgated on Aug. 1st, 2004. It regulates civil procedure and non-judicial procedure among member states which exclude religion procedure but applicable to divorce, separation or annulment procedure. Divorce and marriage annulment result in dissolution of matrimonial ties, however, this regulation does not apply to issues such as the grounds for divorce, matrimonial property, debts or any other ancillary measures. As to parental responsibility, this regulation applies only to matters of divorce, separation and annulment where the duty of parties to children is of concern. This article also elaborates the newly promulgated Family Law stressing on jurisdiction over matrimonial matters (Art. 52), international jurisdiction (Art. 53) and nonlitigation matrimonial matters (Art. 98), paternity nonlitigation matter jurisdiction and fee (Art. 104), mandatory jurisdiction on paternity nonlitigation (Art. 105).