This paper presents analytical results of non/dimensional frequency parameters and mode shapes of vibration for twisted and cantilevered thick plates with spanwise tapered thickness. The method used is based on the three-dimensional elasticity theory and the Rayleigh-Ritz approach including the effects of transverse shear and rotary inertia. The effects of varying the thickness and the twist angle on non/dimensional frequency parameters and modes of vibration are studied. The present results are compared with results in the literature, and the usefulness of the present method for analyzing the free vibration of twisted plates having spanwise taper is verified.