We study a model of dielectric response for spatially disordered materials. In this model the local polarizability αr is a quenched random variable. From a one-loop level renormalization-group analysis, we predict that with increasing length scale L, the dimensionless fluctuation strength α¯σ,where 1/α¯ and σ2 are the average and the variance of the distribution for 1/αr, decays as 1/L2universally at large length scales. The interplay of the random polarizability and the long-range dipole-dipole interaction is discussed.