This paper presents a robustness analysis of the Dynamic Matrix Controller (DMC) for dead-time processes. The study considers a wide class of industrial processes, those that can be modeled by a first order transfer function with a dead-time. The analysis shows that DMC can be described using a predictor plus a primary control structure. This description allows to analyze the effect of the dead-time in the robustness of DMC. The results are illustrated with some simulations that compare DMC to the Generalized Predictive Controller (GPC).