A steering damper device for a saddle riding vehicle includes a tubular damper including a cylindrical damper cylinder and a piston rod slidably passed through the damper cylinder. Either the damper cylinder or the piston rod is supported on an upper frame or a down frame of the saddle riding vehicle. The upper frame extends rearwardly from a head pipe through which a steering shaft passes and which holds the steering shaft therein rotatably about an axis thereof. The down frame extends downwardly from the head pipe. The steering shaft rotates with a bottom bridge. The tubular damper is disposed such that an axis thereof is disposed on a vehicle width direction central plane. The tubular damper extends or contracts as the bottom bridge rotates. The tubular damper extends or contracts within a space between the upper frame and the down frames in a side view.