A vibration damping device comprises two cylindrical and flexible membrane members liquid-tightly connected at its end portion to respective end portion of a piston member and at its other end portions to respective face plates, a connecting member connecting the face plates to each other to form a closed chamber, a liquid filled in the closed chamber, and fastening members arranged onto the piston member and face plate, respectively. Moreover, at least one restricted passage is formed in the piston member or the connecting member. When an electrorheological fluid is used as a liquid, electrodes are arranged on opposed walls of the restricted passage.