In this paper, we study a kind of nonlinear Schrodinger-Poisson system with a parameter epsilon. For any positive integer m, we prove that there exists epsilon(m) > 0 such that, for 0 < epsilon < epsilon(m), the equation has an m-bump positive solution under some suitable conditions. As a consequence, the equation has more and more multi-bump positive solutions as epsilon -> 0. (C) 2011 Amer...