The paper examined the steady-state multiplicity of the porous, non-isothermal, finite hollow cylindrical catalyst pellet in the absence of external transport resistances. A numerical multigrid continuation technique with the preconditioned conjugate gradient squared as coarse grid solver was used. The continuation parameter is the reaction parameter (Thiele modulus). The effect of the other governing parameters (especially the geometric ratios) was analyzed. The numerical results obtained show that the finite hollow cylindrical catalyst pellet exhibits similar multiplicity patterns to the finite solid cylindrical catalyst pellet. (C) 2013 The Institution of Chemical Engineers. Published by Elsevier B.V. All rights reserved.