In the low-frequency limit with respect to the bulk plasma frequency of metal, damped surface-plasmon resonance is examined for a periodic semi-infinite Structure with metal-dielectric unit cells in slab geometry. in comparison to the author's earlier results in [1], the additional material damping is found to alter the resonance characteristics in many nontrivial ways. In particular, the damped Bloch waves propagating in the direction normal to the slab planes are induced, thereby altering wave stability with respect to the ratio of dielectric constants. (C) 2009 Elsevier B.V. All rights reserved.