The necessity of developing the lightest-weight structures with sufficient strength was the driving factor for the development of filament-wound composite pressure vessels. This chapter presents a brief history of the development of rocket motor cases (RMCs), followed by a comparison of the advantages of composites over metals for RMCs. A discussion on a typical design, analysis, and manufacturing operation follows. The chapter introduces the basic design approach and shows some sizing techniques along with example calculations. It discusses the processes involved in the testing of the composite pressure vessel.