The paper makes a analysis for natures of the basic geological environment and for the geomorphology features in Longpan dam region;as a result,the objective calculative model is obtained.On this condition,the stability of dam abutment is computed with FEM simulation in present tectonic stress field,and landslide of right bank is computed with unequal thrust method,then makes analysis of the results and concludes that the dam abutment's side slope of left bank is on the state of sress release and landslide of right bank is on the stress relaxation condition under the present tectonic stress field,and the dam abutment's side slope is stable under the natural condtion,the landslide of right bank is also stable under the various condtions.