In this paper, a new inverse-free dynamical model is developed for a class of absolute value equation with symmetric positive definite matrix. It is also shown that the equilibrium point of this kinetic model is globally asymptotically stable. Based on the numerical experiments, the proposed inverse-free dynamical model is feasible. Meanwhile, by comparing it with the five existing kinetic models, the analysis in terms of computational time and error shows that the inverse-free dynamical model proposed in this paper is competitive.