This paper presents a modified concrete damaged plasticity model (CDPM) based on ABAQUS, in order to accurately simulate the mechanical responses of steel-polypropylene hybrid fiber reinforced concrete (HFRC). The modifications mainly include the determination of fiber effect-dependent parameters in terms of damage evolution, yield criterion, hardening/softening law and plastic potential. The influences of respective parameter on the numerical results are discussed in detail. Subsequently, the CDPM with refined parameters is validated by independent experimental results having various fiber reinforcement indexes in both material scale and structural scale, where the mechanical behavior of FRC material under multiaxial loadings and the seismic performance of HFRC column subjected to cyclic loadings are respectively simulated. The close agreements between numerical predictions and test results solidly substantiate the applicability of the modified model, which serves as a solid foundation for accurate simulation of FRC behavior using ABAQUS.