Grid-tied inverters have been widely used to inject the renewable energies into the distributed power generation systems. However, a large variation of the grid impedance challenges the stability of the high-order power filter based grid-tied inverter. Many passive and active damping methods have been proposed to overcome this issue. Recently, a composite passive damping method for a high-order power filter based grid-tied inverter with an RC parallel damper and an RL series damper was presented to eliminate this problem, but at the cost of more material and power losses. In this paper, a hybrid damping method with a digital filter and an RC parallel damper is proposed. The design of the digital filter is developed using a normalized method. The validity is verified through the simulations and the experiments on a 500 W, 110 V/50 Hz prototype, while the grid inductance varies from 0.15 mH to 5 mH.