Bouc-Wen-Baber-Noori (BWBN) model is a modified Bouc-Wen model. BWBN model can better describe the pinching effect of reinforced concrete structures under strong earthquakes, but the calculation efficiency is low due to the complex pinching function and many parameters in BWBN model. To solve this problem, a new modified Bouc-Wen (MBW) model is proposed by establishing a simpler and more efficient pinching function based on an approximate Dirac delta function. It can achieve the pinching effect with fewer parameters. The validity of the MBW model is verified using the pseudo-static test data of precast RC bridge piers, and parameter identification process of BWBN model and MBW model is performed by using MATLAB Genetic Algorithm Toolbox. The results show that the proposed MBW model has higher computational accuracy.