Abstract: Taking the divergence formed by south rail haulage crosscut and No.2 shunting track two roadways as research object, we research the effect of different cross angles on stability of roadway divergence by numerical simulation, the results show that with the excavation of the roadway divergence, roadway at the intersection of two groups will have a certain thickness of the relief zone, relief area is mainly located at acute triangle area end with fan distribution; with the crossing angle increasing, the stress concentration value of acute triangle intersection roadway surrounding rock decreases, stress concentration value of obtuse triangle rock increases；finally, the ratio of the roadway at the intersection of acute triangle crossroads area surrounding rock and country rock obtuse triangle area is an important indicator of the roof subsidence, stress concentration, pressure relief zone thickness, the amount of displacement.