This book introduces the grey prediction model methodology and its applications as a professional book. It involves the key concepts, data characteristics of modelling objects and the latest research achievements in grey system. The grey prediction models for homogeneous and non-homogeneous exponential sequences, saturated S-shaped sequences and special sequences have been introduced.  This book combines the classical models and the latest models, case studies and model applications, modelling methods, and MATLAB programs in grey system. It is a guidebook for both new learners and professionals of grey prediction models.