Innovation with strategic interaction is to overcome the technological uncertainty and to create co-evolution through competition among individuals or organizations for the acceleration of innovation. The concept of innovation in the past was concentrated on cooperation rather than on competition for the efficient management of limited resources. However, in order to minimize the technological uncertainty, we need an innovation on the basis of competition between organizations. Competition stimulates technological adaptability. It is on the analogy of complex system. This is to satisfy consumers' needs, to transform the resources into a technology, and to apply for the development of new products and new technologies. If the emergence of a new technology threatens present technology and develops into a new level of technology through inter-relation, it becomes a mutually supporting technologies. When theses effects are simultaneously realized, it is possible for firm to have strategical innovation and to create a mutually evolutionary development. Furthermore, when the competition among more than two individuals or two organizations continues towards the same direction, the mutual competition and cooperation can be expected to create a synergy effect. The competitive environment should be composed of R&D, production, and consumers' choice. This will lead to interaction among organizations through strategic competition and cooperation. Intra-firm competition and Inter-firm competition are required to exist together.