In this talk we will study the existence of pulsating fronts for a nonlocal dispersal equation with KPP type nonlinearity, which is spatially inhomogeneous but periodic in space. The nonlocal dispersal is accounted by a convolution term, with a compactly supported kernel. The existence of such fronts will be proved using a vanishing viscosity method, which relies in a priori estimates for the solutions. This is joint work with J. Covilla (INRA, Avignon) and J. Dávila (U. de Chile).