In this paper, we illustrate how to design screening inspections for minimizing a total quality costs in a multi-stage manufacturing systems. The total quality cost model consists of inspection costs, internal failure costs, external failure costs, and Taguchi"s loss function. Although, the use of automatic test equipment such as machnie vision and CMM has greatly increased inspection speed and accuracy, screeing(100% inspection) could be considered only as a short-term method to remove nonconforming items from a population, not for a long-term quality improvement. However, screeing should be used for certain situations such as before costly operations and after unsatisfied operations. This paper ends with an example that demonstrates the usefulness of the model.