For the complex anti-inclined rock slope with many groups of fissures

considering the block and parent rock isn’t completely separated by fissures

a stability analysis method for it is proposed. At first

based on the rock layer’s bearing mode and contact relationship

a rock layer’s deflection calculation method is established. Then taking the rock layer’s deflection for relation variables

the calculation equations are built. Through solving the equations

the interlayer’s load can be obtained. So the loads on the rock block’s fissures are quantified; and accordingly a fracture mechanics model is established. Through fracture mechanics

rock block’s stability analysis method is established. At last

through a case study

it is shown that the results calculated by the proposed method agree well with the actual situations.