This book titled "Graph of Partial Order Preserving Transformation Semigroup" was aimed to study the elements of semigroups of Full Transformation (Tn), Partial Transformation (Pn) and Partial 1-1 Transformation (In) of Order Preserving Transformation Semigroup (i.e. On, POn, and IOn respectively), to represent the elements of semigroup into various conjugacy classes, and to present the conjugacy classes graphically. This is going to make work much more easier for people under this field of study.