A slope geomechanical model was proposed based on the destabilization characteristics of soft sandwichrock slopes. Based on an analysis of the effects of internalexternal factors on slope stability, the cusp catastrophe model of slopes can be employed to analyze and predict the necessary conditions leading to slope catastrophes. During the processing of the mass and energy exchange with the external, this may lead to the change of controlling variables. Slides or quick or slow creeping thus may take place due to environmental complexity. This work helps deepen understanding of the formation of landslides and makes feasible the applcation of the catastrophe model to slope destabilization investigations.