An electromagnetic actuator wherein an annular supporting member secured to a stator and an oscillator member secured to a movable member are disposed in opposition in an axis-perpendicular direction and are elastically linked by a supporting rubber elastic body disposed therebetween. One axial face of the supporting rubber elastic body is furnished with an inside peripheral recessed portion and an outside peripheral protruding portion while another axial face is furnished with an inside peripheral protruding portion and an outside peripheral recessed portion so as to establish in the supporting rubber elastic body an elastic center axis that curves along a sinuous trajectory of an interconnected peak segment and valley segment situated between opposing faces of the annular supporting member and the oscillator member in the axis-perpendicular direction.