It is principal that application of domestic law is within the nation. Butin some cases, extraterritorial application of laws means that it is applied outsidethe national territory. There had not been any provision or precedent aboutextraterritorial application of Anti-Trust Law in Korea before the case of GraphiteElectrodes international cartel (2002). Extraterritorial application of laws wasapplied in this case. The legal basis of extraterritorial application wasestablished in Korean Anti-Trust Law 2-2 and Korean Capital Market Act. When deciding whether to exercise subject matter jurisdiction over aclaim brought by a foreign plaintiff alleging securities fraud, a court, as a generalrule, applies the effect test, the conduct test or a combination of the two. Inlight of the delicate international political concerns raised when courts assertjurisdiction over foreign actors or actions, however, courts should be careful toapply the anti fraud provisions only when international considerations warrantthe exercise of jurisdictionThis study is dealing with extraterritorial application regarding International Jurisdiction and its trend of discussion in Anti-Trust Law. By studying U.S. precedent about extraterritorial application in securities law, it will broaden thewidth of our view. The internationalization of stock market results in anincrease in unfair trading. This means that it is necessary to discussextraterritorial application of domestic capital law in depth. So we have toconsider the legitimate sovereignty of other nations, prevent extraterritorialapplication of the antifraud provisions of securities law, regulate unfairtransaction like securities fraud in advance, be prepared to have a consistentsystem of extraterritorial application.