The present disclosure relates to a hydraulic mount having a unidirectional damping membrane. A hole is formed in a membrane and a one-way closure having upper and lower portions, which are different from each other, is inserted into the hole to control a flow of a fluid. The one-way closure means includes: a body which intermittently closes a lower side of the hole formed at a center of the membrane; a column portion which is vertically formed at a center of the body; and a moving closure which is formed at an upper portion of the column portion and closes an upper side of the hole.