The parameter error and measurement errors in the power system state estimation can appear simultaneously. In this paper, a new approach for detecting and identifying incorrect branches and measurement errors at the same time is presented. First, the model of branch including Circuit Breaker (CB) is built, thus the error estimation equation by the CB state estimation is settled. Then the proposed topology error identification approach has the ability of identifying the incorrect branch status in terms of bad data and erroneous network parameters, which can identify the incorrect status of branches through estimating the parameters of suspicious branches pertaining to topology or parameters' errors. It uses the Normalized Lagrange Multipliers (NLM) of the constraints added for modeling CBs and parameter errors to the process of identification. In addition, a new approach for simultaneous identification of incorrect branch status and erroneous parameters is proposed, which is done by the estimation of the parameters including topology error and suspicious branches to detect the state of the incorrect branches. It only requires the results of a conventional state estimator to identify the errors. In the end, the simulation results in IEEE 118 bus indicate that the proposed three-stage method is effective compared with traditional identification method under multi scenarios. This work is supported by Scientific and Technological Project of Henan Province (No. 182102210274).