In this paper we are interested in propagation phenomena for nonlocal reaction–diffusion equations of the type: \frac{\partial u}{\partial t} = J\ast u−u + f(x,u)\:t \in \mathbb{R},\:x \in \mathbb{R}^{N}, where J is a probability density and f is a KPP nonlinearity periodic in the x variables. Under suitable assumptions we establish the existence of pulsating fronts describing the invasion of the 0 state by a heterogeneous state. We also give a variational characterization of the minimal speed of such pulsating fronts and exponential bounds on the asymptotic behavior of the solution.