In this paper a new dynamical hysteresis model is introduced that based on the second derivates of the measured reversal curves. The advantages of the model are its easy identification, past memory representation and numerical simplicity. The accommodation property of the model can be ensued from the construction philosophy of the model. The feasibility of the extrapolation is defined by the boundary conditions. The convenience of this model is its efficiency in reduction of the calculation time. The parameters can be determined from the measured data points. Reported results prove the accuracy of the model.