A steering system has a steering shaft carrying at its end a steering wheel, and a steering column through which the steering shaft is extended. A structure for mounting the steering column on the body of a vehicle, comprises:a support bracket having mounting web portions for securing the support bracket to the body, the support bracket being fixed to the outer peripheral surface of the steering column, each mounting web portion having a notch opening in one end edge thereof;a clamping plate associated with each mounting web portion, the clamping plate being formed by bending a metallic sheet into substantially a U-shape so as to provide upper and lower flat plate portions, the flat plate portions being provided with apertures and having slip layers of an electrically insulating material provided on the inner opposing surfaces thereof contacting the associated mounting web portion, each clamping plate being fitted on the mounting web portion by sliding from the side adjacent the steering wheel; andbolts which are driven into threaded holes in the body through the apertures in the clamping plates and the notches of the mounting web portions so as to secure the support bracket to the body. A narrow winding portion integral with the clamping plate extends from a main part of the coating plate, and a free end of the winding portion is electrically connected to the mounting web portion.