A steering damper mounting structure of a vehicle includes a head pipe, a front fork, a fork bridge, and a steering damper. The front fork, which suspends a front wheel, is steerably disposed on the head pipe. The fork bridge connects left and right members of the front fork. The steering damper is mounted on the fork bridge and the head pipe. The steering damper dampens a steering directional movement transmitted from a road surface to a handlebar via the front wheel and the front fork. A lower mounting portion on a side of the head pipe is disposed on a side of an axis as a center of pivotal motion of the front fork relative to the fork bridge, more specifically, an upper mounting portion on a side of the top bridge. The resulting configuration reduces the size of a front portion of a vehicle and a steering damper.