Abstract: Point catastrophe theory is detailed in the paper.The point catastrophic model is described here.And the seismic signal is transformed into the standard form of cusp catastrophe by establishing the cusp model.The parameters of catastrophe,such as time-domain catastrophe potential,time-domain catastrophe time,layer catastrophe degree,frequency-domain degree and so on,were applicable to study up on real seismic data interpretation and were used to detect the feasibility of theory.The results show that the position of abnormality of the catastrophe parameter profile or curve is related to the location of fault.It is effective to automatically pick up geology information and improve the precision of interpretation in seismic data.Catastrophe theory will provide a potential method for seismic interpretation.