The present work has revealed that (1) a steady or near-steady state of an ORN is a self-sustaining and self-organized state, attainable without involving autocatalytic and cyclic reactions, and (2) the self-organization in a steady state through a full balance between all the involved irreversible reaction and diffusion processes can lead to evolution toward a highly ordered and high-function state. Thus, a steady state of an ORN can demonstrate self-organizing ability essentially the same as that of living things and therefore dynamic self-organization in it can be regarded as providing a principle for the emergence of life. To my knowledge, it is only a steady state of an ORN that exhibits such multi-functional self-organizing ability. A steady state of an ORN has unexpectedly deep meanings. Now, there are a great variety of ORNs if we consider not only ORNs with a simple structure but also those with complex structures. It is probable that some of complex ORNs which involve autocatalytic and/or cyclic reactions can attain a steady or nearsteady state without exhibiting oscillatory or dispersive behavior. Moreover, even ORNs which exhibit oscillatory or dispersive behavior can be regarded as being in a near-steady state if such behavior has only a limited minor effect. Thus, a next target is to clarify how an ORN can involve autocatalytic and cyclic reactions without losing the aforementioned fundamental properties of a steady state. This target is important because it is expected that the more complex structures an ORN has, the higher qualities it can demonstrate.