Based on analysis of the cause of limit induced bifurcation(LIB), a method for detecting LIB using continuation power flow(CPF) method is presented. Firstly, a sensitivity method is used to predict the active inequality constraints, which are then transformed into equality constraints and included in the power flow equations as continuation variables to accurately calculate the states at the point of structural switch. Then, three proposed verification criteria can be used to check the structural switch point in order to verify the existence of LIB. The correctness and effectiveness of the proposed method is validated on IEEE 118-bus system.