This paper describes a procedure for variable structure output feedback control (VSOFC) for a class of multivariable linear time-invariant systems. The equivalent control method of Utkin in the output feedback mode yields a reduced-order system exhibiting output feedback equivalent dynamics. Using the Kimura-Davison sufficient conditions for pole-placement using output feedback, a sufficient condition is derived to assign the eigenvalues of the ’reduced’-order system. The observability and controllability of the reduced system is discussed. Two switching surface design algorithms are introduced based on both a static output feedback and on an eigenstructure assignment techniques. A control design is discussed as well.