An air-damped engine mount has a filter module installed in a damping chamber formed by coupling between a main rubber and a main pipe. The air-damped engine mount may include a bolt, a main rubber into which the bolt is fitted and coupled, a hollow main pipe coupled with the main rubber and supporting the main rubber, a cover plate coupled with the main pipe to form a damping chamber between the cover plate and the main rubber, and a filter module coupled with the cover plate and configured to permit air to communicate through the filter module against flow resistance with the damping chamber and the outside, wherein the flow resistance against the air passing through the filter module regulates air pressure inside the damping chamber to reduce vibration in the main rubber.