In this paper, a novel two-stage digital predistortion method for quadrature digital power amplifiers (DPAs) is proposed. A 2-D LUT is derived from the optimal predistortion input signal based on iterative learning control (ILC), which is aimed to calibrate the static nonlinearities. For wide bandwidth scenarios, the memory effect has to be taken into consideration which is neglected in the conventional 2D-LUT method. A general memory polynomial model is added to the whole system to fix the dynamic effect subsequently.