A resilient mount for a piston engine, in which two liquid-filled working chambers (1, 2) are provided that are bounded by elastically inflatable boundary walls and are connected by at least two connecting passageways arranged in parallel. The connecting passageways include a damping passageway (6) which is arbitrarily closable by a valve (7). The damping passageway (6) forms a duct and which is so dimensioned that the enclosed liquid mass enters into a relative vibrating movement in phase with the piston engine, when the piston engine operates at idle speed, with an amplitude which is greater than the amplitude of the movements of the engine, multiplied by the ratio of the displacement cross section of the inflatable boundary walls (3) and the cross sectional area of the damping passageway (6).