Abstract: The factors related to mineralization are all regarded as geological anomalous events in geologically evolving processes. All geo-anomalies related to mineralization can be considered as “possible regions of exploring mineral resources”, the geo-anomalies (or anomalous zones) where expected mineral deposits may be found are called “practicable zones for prospecting”, among them those abounded with more direct and indirect ore-prospecting information may be defined as “favorable segments for prospecting”. Geo-anomaly is of self-similarity on a different scale. Spatially, it is of complicated genetic and chaotic dynamic mechanism. In form of expression, it contains two categories: hidden and obvious geological bodies (or associations). There is an intrinsic connection between geo-anomalies and mineral deposits both in spatio-tmporal relation and in genesis. Study on geo-anomalies must be based on the division of geological background fields. Geo-anomalies can be quantitatively delineated by certain methods and rules. This paper points out the different features of delineating geo-anomalies on different scales. The sophisticated techniques such as GIS, GPS RS etc. are powerful tools of studying and delineating geo-anomaly. Fractals, self-organizations and chaos facilitate, from sides of morphology (geometry), process and mechanism, to explore the complexity in existence and development of geo-anomaly. There are two kinds of relationships, i.e. telescoping and coupling, between geo-anomaly and geophysico-geochemical anomaly. Eventually the paper gives the compilation of geological anomalous map and prognostic map for favorable area of ore-prospecting.