We present a static and time dependent Density Functional Theory of strongly correlated model systems in 3D. The exchange-correlation potentials entering the formulation are obtained via Dynamical Mean Field Theory. For strong enough interactions, the potentials exhibit a discontinuity at half filling, a signature of the Mott transition. For time dependent perturbations, the dynamics is described in the adiabatic local density approximation. Results from this new scheme compare favorably to exact ones in clusters.