Composite materials are widely used in a number of industrial sectors from aviation, space, to boat building, automotive, and sports goods. In recent years composite structures have seen a substantial increase of their use in the new generation of airplanes. The nondestructive testing and inspection of composite structures, both for manufacturing quality assurance and for in-service damage detection, has prompted the development and adaptation of a number of methods and techniques over the years. In this paper we review the various NDT methods for inspecting composites including water- and air-coupled ultrasound, bond testing, manual and automated tap testing, radiography, thermography, and shearography with emphasis given to techniques that demonstrated benefits to the practice of composite inspection. Keywords: composite materials, discontinuities, ultrasonic testing, bond testing, radiograph, thermography, shearography.