In this paper uniform stochastic stability of a viscoelastic Voigt-Kelvin beam is investigated. The beam is simply supported and subjected to time and space-depcndcnt widc-band, Gaussian process. Using Liapunov direct method and functional Ito lemma uniform stochastic stability condition is obtained. Stability regions are given as function of retardation time, intensity of stochastic loading and spatial correlation radius.