In this paper, numerical model based on continuum damage mechanics is presented to predict the damage behavior in quasi-isotropic composite laminates under low-velocity impact conditions. Hashin criterion and a gradual degradation scheme are employed to trigger the intra-laminar damage initiation and growth. Additionally, an interface cohesive element is incorporated in the model to predict the inter-laminar delamination damages. A user-defined subroutine VUMAT comprising these constitutive models of intra-laminar and inter-laminar damage is written in FORTRAN and implemented into explicit finite element package ABAQUS. Parametric analysis is performed on quasi-isotropic composite model with different impact energy levels to study the impact velocity–time, velocity–displacement, acceleration–time and acceleration–displacement curves of full and reduced models as well as the damage development of intra-laminar matrix cracking and inter-laminar delamination. Reasonable accord between the numerical simulations and experimental test indicates good prediction of impact damage behavior of the proposed model at low-velocity impact conditions.