We have developed a computer simulation for a new multi-state fading channel model. Multi-state models can yield more accurate fading amplitude time series than can single state models. Our initial multi-state model is aimed at mobile satellite channels. We use the simulation to verify a new multi-state model proposed in [1], but the simulator can be used for general-purpose simulation of any multi- (or single-) state fading. We validate this simulation against both theory and measured data [2], using the second – order statistics of average fade duration and level crossing rate.