A liquid-sealed mount (1, 2) to be attached between a first member and a second member for controlling vibration introduced to the first member or the second member, the liquid-sealed mount (1, 2) comprising: a cup-shaped housing having an opening at a top, the cup-shaped housing being to be attached to the first member; a stud positioned at a center of the housing in a diameter direction, the stud being to be attached to the second member; a cap member (30,121) fixed to the opening so as to form a sealed chamber between the cap member (30,121) and the housing, the cap member (30,121) holding the stud movably at least in an axial direction of the housing; an air chamber formed at a bottom of the housing, air being sealed in the air chamber; a diaphragm separating the sealed chamber into a liquid chamber and the air chamber; liquid sealed in the liquid chamber; and a movable damping plate positioned in the liquid chamber, a gap being provided between the movable damping plate and an inner wall of the housing, the liquid being capable of passing through the gap, the movable damping plate being attached to the stud; characterized in that: the liquid is highly viscous, and the liquid-sealed mount (1, 2) further comprises a support member positioned between a lower end of the stud or the movable damping plate and the diaphragm, the support member being configured to transmit a load in a compression direction applied to the stud to the diaphragm, with a first surface of the support member not separating from the diaphragm so that the support member is in contact with the diaphragm when a load is applied by the second member to the stud. a cup-shaped housing having an opening at a top, the cup-shaped housing being to be attached to the first member; a stud positioned at a center of the housing in a diameter direction, the stud being to be attached to the second member; a cap member (30,121) fixed to the opening so as to form a sealed chamber between the cap member (30,121) and the housing, the cap member (30,121) holding the stud movably at least in an axial direction of the housing; an air chamber formed at a bottom of the housing, air being sealed in the air chamber; a diaphragm separating the sealed chamber into a liquid chamber and the air chamber; liquid sealed in the liquid chamber; and a movable damping plate positioned in the liquid chamber, a gap being provided between the movable damping plate and an inner wall of the housing, the liquid being capable of passing through the gap, the movable damping plate being attached to the stud; characterized in that: the liquid is highly viscous, and the liquid-sealed mount (1, 2) further comprises a support member positioned between a lower end of the stud or the movable damping plate and the diaphragm, the support member being configured to transmit a load in a compression direction applied to the stud to the diaphragm, with a first surface of the support member not separating from the diaphragm so that the support member is in contact with the diaphragm when a load is applied by the second member to the stud. the liquid is highly viscous, and the liquid-sealed mount (1, 2) further comprises a support member positioned between a lower end of the stud or the movable damping plate and the diaphragm, the support member being configured to transmit a load in a compression direction applied to the stud to the diaphragm, with a first surface of the support member not separating from the diaphragm so that the support member is in contact with the diaphragm when a load is applied by the second member to the stud.