This book was originally prepared in 2012 and updated recently in 2017. The objective of the present book is to present a complete and up – to – date coverage of composite laminates properties, literature reviews and mathematical modeling of laminated plates on buckling through the usage of a wide spectrum of old and recent bibliography. The material presented in this book is intended to serve as an introduction, literature review and mathematical modeling of laminated plates on buckling of composite laminated plates. In chapter one, the introduction was presented from the points of view of fundamental definitions of fibrous composite laminates and micromechanical properties of fibers and matrix materials. At the end of the chapter the objectives of the present work were cited. Chapter two contains a comprehensive literature review which includes continuous developments in the theories of laminated plates. Also, a survey of numerical techniques which could be used in the analysis of laminated plates. In chapter three mathematical formulation and numerical modeling of laminated composite plates subjected to in – plane buckling load were derived and discussed thoroughly. Chapter four contains the conclusion of the present book. In this chapter the important observations and findings were explained clearly. The book is suitable as a review on theories of plates, mathematical modeling and numerical and / or analytical techniques subjected to bending, buckling and vibration of laminated plates. Osama Mohammed Elmardi Suleiman Khayal Mechanical Engineering Department, Faculty of Engineering and Technology, Nile Valley University, Atbara – Sudan November 2017