A vibration damping device including a vibration-damping device main unit attached to a bracket from a lateral side by a second attachment member being fitted to opposed walls provided on widthwise opposite sides of the bracket. The bracket includes flexible latches extending from the respective opposed walls forward in a direction of attachment. The second attachment member includes outer recesses respectively opening onto surfaces overlapped with the respective opposed walls. Each latch has a slope portion sloping inward in a width direction of the bracket such that a distal end face of the latch is inserted in the corresponding outer recess. The distal end face of the latch is latched by a forward wall inner face of the outer recess, and displacement of the second attachment member relative to the bracket in a direction of dislodgment opposite to the direction of attachment is limited.