A fluid-filled elastic mount (10) wherein a fluid-tight space (40) defined by two mounting members (12, 14), an elastic body (16) and a flexible diaphragm (36) is divided by a partition member (34) into pressure-receiving and an equilibrium chambers (44, 46) communicating with each other through a first orifice (64). The partition member has a communication hole (62) for fluid communication of the first orifice with the equilibrium chamber. The elastic mount has a cover member (76) which cooperates with the diaphragm to define a space in which a pushing member (84) is accommodated such that it is pressed onto the diaphragm by a biasing member (86), so that the diaphragm closes the communication hole. The pushing member cooperates with a rubber plate (94) to divide the space within the cover member into static pressure and operating chambers (96, 100), and the pushing member is sucked toward the cover member by a negative pressure applied to the operating chamber, so that the diaphragm is displaced away from the communication hole to open the same for fluid communication of the orifice with the equilibrium chamber.