In the era of globalization, with the ever-changing information technology, the rapid rise of the Internet, the flow of information through the Internet quickly, provide great convenience to human life, globalization has brought many benefits for mankind, but also to form a growing issues, cross-border cybercrime, even beyond the traditional norms of criminal laws and can not foresee the crime patterns. Due to the nature of Internet crime on the characteristics of cross-border crime, and that is the perpetrator, the victim, behavior or results to prevention of cross-border crime and other factors contained in the "foreign elements" and contact with foreign produce, often involving his law of the land domain , thus affecting the attribution of criminal jurisdiction, the criminal investigation of the conduct and complaints chase. Therefore, you must first discuss issues related to the effectiveness of judicial conflict involving the Penal space. Furthermore even if criminal law is possible, but permission to chase the criminal complaint authority of a country have to limit their space away from the field for a particular crime or applicable authority as a criminal complaint chase involving national sovereignty, so the starting point is limited to the implementation of the country territory, or else fear he had violated the sovereignty of risk, and cause international disputes. About this part will work with regional, such as the EU integration on the Internet crime prevention measures taken in the criminal law of the international community, especially the part about to be explored through the evidence of mutual legal assistance, but it may produce evidence of cross-border crime issues of this article is also to be discussed together. Finally, this paper will Thinking back to the problem currently facing the country in Internet crime complaints chase in the face of procedural criminal law, and try to make some suggestions.