This book provides a comprehensive account of Magneto hydrodynamics fluid in presence of magnetic field and hall current effect through porous medium. This book contains the basic concept about MHD, various types of fluid and their flow type, their motion, different types of parameters which have very important roll on fluids flow and their motion. Here also discussed about the solution technique and showed detailed how it works. Finally the physical results have been shown graphically as well as tabular form so that the reader can understand it clearly and can extend this work in future. I earnestly hope that this book would suit for readers need and they will enjoy reading and learning about MHD flow and their character. Please do write my publisher or me and let us know your reactions. We will enjoy hearing and welcome any comments, corrections, suggestions and criticism that will enable us to improve this book. The Author Pronab Biswas