The invention provides an abnormity first appearance recognition method and an abnormity first appearance recognition system based on an offset domain. The method comprises: collecting seismic data, and extracting a plurality of shot-to-receiver pairs from the seismic data, wherein each shot-to-receiver pair comprises first appearance, a midpoint coordinate, an exciting point and a receiving point; applying basic static correction value to the first appearance of the extracted plurality of shot-to-receiver pairs, and thereby obtaining the first time of the shot-to-receiver pairs; obtaining a preset threshold value; recognizing the first appearance of abnormity from the extracted shot-to-receiver pairs according to the first time, the extracted shot-to-receiver pairs and the threshold value. According to the abnormity first appearance recognition method and system based on offset domain, the principle that the first appearance time applied with the basic static correction value is a smooth plane in a common offset channel when in the plane of a center point is utilized, so that the deficiency that polynomial fitting is performed to the first appearance in a common exciting point channel is avoided, and thereby the abnormity first appearance recognition method and system based on the offset domain are applicable to two-dimensional exploration and three-dimensional exploration.