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The model and control of a single axis electromagnetic suspension for vibration isolation was set up. In order to study the vibration isolation characteristics, a set of linearized dynamic equations were used. The design of state feedback controllers that minimize the mean square absolute displacement response of the suspension and minimize a measure of the system energy dissipation has been considered. In both cases the suspension system was assume to be excited by random white noise disturbances. It is shown that near optimum disturbance attenuation and energy dissipation could be achieved without current feedback. The suboptimum controller gains with the state feedback gains obtained by using linear quadratic optimal control theory have been compared. The result showed that the disturbance attenuation characteristics of the electromagnetic suspension could be made superior to that of a passive isolation system. Experimental results were also presented. 