There is the reason the international terrorism has been reclaimed by the antagonistic policies between the superpowers in the regions of oil resources in the Middle East, Central and Middle Asia. Globalization will offer to USA to became alone base against terrorism like the most dominant power in the world. Henry Kissinger wrote in the each century appears a power which has the supremacy on the others. Its authority increases thanks of military and economic expansions worldwide. But there is no reason to think the international terrorism an invention of American foreign policy. Re-emerge process of terrorism in XXI century is an ample reaction to American foreign policy in the Asiatic regions. International terrorism concerns countries which try or promote a policy of hegemony. The terrorism seems to be a contra balance to hegemonies in the world, but itself try to dominate the world.