In this paper, we study the radial vibrations of a poroelastic hollow cylinder with convective boundary conditions. Biot's theory is employed for wave propagation in a porous solid, the frequency equation for radial vibration of a poroelastic cylinder is obtained includes initial stress as a convective boundary condition. The frequency equation has been derived in the form of a determinant form involving Bessel functions. The root of the frequency frequency equation determines the circular frequency. Special case from this study is investigated if the initial stress is neglected. The numerical computations of the frequency equations for the radial vibrations of a poroelastic cylinder is obtained and are illustrated graphically. It is found the frequency equation of the waves has been affected by the poroelasticity and the initial stress which indicated that their very pronounced on the natural frequency. Copyright© 2011 Praise Worthy Prize Srl-All rights reserved.