Chapter consists of:History of Composite Material, Introduction, Key Elements of Composite Materials, Some Common Types of Composite Materials, Manufacturing of Composite Material, Mathematical Model for Composite Material, Applications of Composite Material, Characteristics of Composite Material, Composite Design Methods, Method to Calculate the Mechanical Properties of Composite Laminate, Micromechanics of Composite Material, Macro-mechanics of Composite Material, Finite Element Analysis of Composite Material, Failure Analysis of Composite Material, Non-destructive Testing for Composite Material, Mechanical Testing of Composite Material, Microscopic Analysis of Composite Material, Composite Material Failure Modes, Several Methods to Prevent Composite Material Failure, Advance Composites, Energy Optimization in Composite Material, Selection of Composite Material, Optimization in Composite Design, MATLAB Code for Optimization of Composite Material, Recent Trends in Composite Materials, Research Gap related to Composite Material. Conclusion.