This short text is intended for first year undergraduates and introduces some concepts of chemical bonding in a clear, descriptive and essentially non-mathematical fashion. This text will find a place alongside textbooks containing more detailed formal coverage and mathematical descriptions. This book could form the basis of a 8-12 lecture introductory course on chemmcal bonding. The book addresses aspects of atomic orbital structure and uses this to develop a discussion of the bonding in diatomic and polyatomic molecules using Lewis dot structures, hybrid orbital, and molecular orbital methods. The prediction of molecular shape is addresses through the VSEPR method.