We show the existence of positive solution for the following class of singular Neumann problem -Delta u + a(x)/u(beta) = lambda h(x)u(p) in B(R) with partial derivative u/partial derivative v = 0 on partial derivative B(R), where R > 0, lambda > 0 is a positive parameter, beta > 0, p is an element of vertical bar 0, 1), B(R) = B(R)(0) subset of R(N), a: B(R) -> R and h : B(R) -> R are radially symmetric nonnegative C(1) functions. Using variational methods and sub- and supersolutions, we obtain a solution for an approximated problem involving mixed boundary conditions. The limit of the approximated solutions, is a positive solution. (C) 2008 Elsevier Inc. All rights reserved.3521112119