Core International Crimes and Ordinary International Crimes stem from the customary international law or conventional international law,and they are all stipulated by some treaties.

Although international crime,foreign related crime and transnational crime have indelibly historical relations in the origins,they have not identical or embracing relationships for contents at all,but an interlock or independent relationship.

As a result to different understanding of the international crime s essence,the country legal liability nature,the national crime standard s,the scholars of international criminal varies to the international subject of crime s scope limits.

On theoretical Level, the scope of international crimes includes 31 crimes such as war crime, aggression crime, crime against humanity and etc.

And finally,the author points out that due to the flexibility and low-cost of hybrid tribunals,they are likely to take the place of the ad hoc international criminal trbunals in the legal system to combat international crimes.

The international criminal responsibility of individuals is the necessary and essential problem when we discuss the criminal responsibility of international crimes.

on July 1st ,2002,the International Criminal Court (ICC )which was expected for a long time was established ,which strongly impacted the pattern of punishing international crimes ,and dawned a new era of the international criminal justice .

Under the globalization background,the opening world is benefit for crime internationalization,the different laws and policies encourage the crime internationalization,the wide use of modern technology provides the technology assurance for the crime internationalization,and the lose-regulation stimulates the crime internationalization.