A suspension support comprising: a mount rubber configured to be provided around a projecting part of a piston rod, the projecting part projecting from a cylinder of a shock absorber; a substantially cylindrical bump rubber configured to be arranged in the outer circumference of the projecting part of the piston rod; a bump rubber cup arranged in the outer circumferential section of the bump rubber; a transmitting member (63, 21) configured to be provided around the projecting part of the piston rod and configured to hold the mount rubber from both sides in an axis direction of the piston rod with a cover plate configured to be provided on the cylinder side with respect to the mount rubber and a washer provided on an opposite side of the cover plate across the mount rubber and configured to transmit a shock received by the piston rod to the mount rubber; a collar, which is a cylindrical member inserted into the mount rubber, configured to support the projecting part of the piston rod, arranged to be held between the cover plate and the washer in the axis direction to set a distance in the axis direction between the cover plate and the washer to a predetermined distance, and configured to be pressed by the transmitting member when the cover plate or the washer receives a shock from the piston rod, and an attachment member attachable to a vehicle body side, wherein the mount rubber and/or the transmitting member (63, 21) includes a restricting mechanism configured to restrict the transmitting member (63, 21) from being displaced with respect to the mount rubber in a state in which the piston rod is not arranged inside the mount rubber and the transmitting member (63, 21), the transmitting member (63, 21) is configured to be fixed around the projecting part in the piston rod in a state in which the piston rod is arranged inside the transmitting member (63, 21), and the mount rubber includes a lower mount rubber configured to be arranged further on the cylinder side than the attachment member, and an upper mount rubber provided separately from the lower mount rubber and provided on an opposite side of the lower mount rubber across the attachment member; the upper mount rubber and the lower mount rubber are respectively cylindrical members; in the lower mount rubber, a small diameter section, the diameter of the other end of which is small compared with one end in the axis direction, is formed; and the small diameter section of the lower mount rubber is inserted into the upper mount rubber; characterized in that the lower mount rubber includes, in the circumferential direction on an end face on the wheel side, one or more claw-like holding sections configured to hold the cover plate, or the cover plate includes a projecting section (63D, 63E) configured to hold the lower mount rubber. a mount rubber configured to be provided around a projecting part of a piston rod, the projecting part projecting from a cylinder of a shock absorber; a substantially cylindrical bump rubber configured to be arranged in the outer circumference of the projecting part of the piston rod; a bump rubber cup arranged in the outer circumferential section of the bump rubber; a transmitting member (63, 21) configured to be provided around the projecting part of the piston rod and configured to hold the mount rubber from both sides in an axis direction of the piston rod with a cover plate configured to be provided on the cylinder side with respect to the mount rubber and a washer provided on an opposite side of the cover plate across the mount rubber and configured to transmit a shock received by the piston rod to the mount rubber; a collar, which is a cylindrical member inserted into the mount rubber, configured to support the projecting part of the piston rod, arranged to be held between the cover plate and the washer in the axis direction to set a distance in the axis direction between the cover plate and the washer to a predetermined distance, and configured to be pressed by the transmitting member when the cover plate or the washer receives a shock from the piston rod, and an attachment member attachable to a vehicle body side, wherein the mount rubber and/or the transmitting member (63, 21) includes a restricting mechanism configured to restrict the transmitting member (63, 21) from being displaced with respect to the mount rubber in a state in which the piston rod is not arranged inside the mount rubber and the transmitting member (63, 21), the transmitting member (63, 21) is configured to be fixed around the projecting part in the piston rod in a state in which the piston rod is arranged inside the transmitting member (63, 21), and the mount rubber includes a lower mount rubber configured to be arranged further on the cylinder side than the attachment member, and an upper mount rubber provided separately from the lower mount rubber and provided on an opposite side of the lower mount rubber across the attachment member; the upper mount rubber and the lower mount rubber are respectively cylindrical members; in the lower mount rubber, a small diameter section, the diameter of the other end of which is small compared with one end in the axis direction, is formed; and the small diameter section of the lower mount rubber is inserted into the upper mount rubber; characterized in that the lower mount rubber includes, in the circumferential direction on an end face on the wheel side, one or more claw-like holding sections configured to hold the cover plate, or the cover plate includes a projecting section (63D, 63E) configured to hold the lower mount rubber.