The utilization of composite materials has become increasingly widespread in various industries, ranging from aerospace, defense, and automotive to medical equipment. Composite materials are lightweight, and their mechanical properties can be tailored to a specific design, ensuring structural integrity is maintained throughout their performance. Nondestructive inspection (NDI) techniques play a significant role in monitoring critical composite parts to ensure they are safe and free from damage during operation. This chapter reviews the application of nondestructive inspection methods for composite parts, highlighting their significance in quality control, maintenance, and safety of components during their performance. Various NDI techniques, such as through-transmission ultrasonic (TTU) A-scan, B-scan, and C-scan inspections, manual tap test (tap hammer device), and mechanical impedance analysis method (MIA), are presented in this chapter. Their methods of detecting flaws in composite parts are discussed. Furthermore, the chapter outlines their limitations in detecting defects, delamination, and other anomalies in composite structures. Additionally, this review assesses the concept of the minimum initial flaw size escaping NDI detection, which plays an essential role in fracture mechanics analysis for determining the number of cycles to failure of critical parts. Overall, this review provides valuable insights into the current state of nondestructive inspection for composite materials. The importance of NDI in a wide range of industries cannot be overemphasized, especially when the safety of the structure and the prevention of loss of life are of utmost importance for the users of composite parts.