IR`s establishment has been regarded as a starting-point for a movement against those of Pride in the world. A revolution that during cold war, after second world war between USA and USSR and with a return to Islamic pure teachings has prepared the ground for establishing Islamic new civilization. IR as the most cultural social revolution of the world caused deep theoretical, cultural, social, economic and political changes in Muslim and non-Muslim nations and, with intellectual, philosophical, spiritual, inferential and creative theme, applied pure Islamic teachings in human social and personal life. The paper, using the metaphor Fractal geometry, has described IR leader`s part and impact in world new revolutions and given a model of leadership in IR`s fractals for establishment of Islamic new civilization.