In magnetization process by field cooling of a bulk high-Tc superconductor (HTS), stresses are induced by the Lorentz force between shielding currents and magnetic fields. Evaluation of the maximum stress during the magnetization is important from the viewpoint of the destruction of the bulk HTS. Stresses in a hollow cylindrical bulk HTS are numerically evaluated in the axisymmetric three-dimensional analysis. Shielding current distributions are obtained through a macroscopic numerical simulation with the Maxwell equations and the critical state model. Uniform trapped fields are discussed for piled bulk magnets. The stress distributions are obtained through numerical analysis with the finite-difference method. Maximum hoop stress is discussed for different boundary conditions of the bulk HTS.