In general, fault of a virtually finished product that is value-added one, since it has gone throughout the most of processes, may give rise to quality cost nearly amount to its selling price and can be a main cause that decreases the efficiency of manufacturing process. This paper proposes a dispatching algorithm for manufacturing process with quality volatilities with consideration of due-dates and required quality level. In order to evaluate the proposed algorithm, this paper examines the performance of the proposed method by comparing it with that of the existing dispatching algorithms in terms of minimizing the mean tardiness. In addition, from the perspective of process capability based on required quality level, this study shows the superiority of the proposed dispatching algorithm.