Employing theory of poroelasticity, torsional vibrations in composite transversely isotropic poroelastic solid cylinder are investigated. Equations of motion are presented which are derived from the pertinent equations of equilibrium. Poroelastic composite cylinder here consists of two concentric cylindrical layers made of different poroelastic materials. Phase velocity is computed as a function of wave number and ratio of radii at various anisotropic ratios. The limiting cases of a poroelastic thick-walled hollow cylinder, thin poroelastic shell and plate are discussed. The results are presented graphically for two poroelastic composite cylinders and then discussed.