A steering damper mounting structure of a vehicle which includes a head pipe (61), a front fork, a fork bridge (53), and a steering damper (63). The head pipe (61) forms part of a vehicle body. The front fork which suspends a front wheel, is steerably disposed on the head pipe (61). The fork bridge (53) includes a top bridge (54) and a bottom bridge (56), each of which connects a left member and a right member of the front fork. The steering damper (63) dampens a movement transmitted from a side of the front wheel to a handlebar. Further, the steering damper (63) is mounted to the head pipe (61) and the top bridge (54) and disposed on the side of the top bridge (54) between the top bridge (54) and the bottom bridge (56). Additionally, a light unit (68) is disposed on the side of the bottom bridge (56) between the top bridge (54) and the bottom bridge (56).