Categories have been frequently used as a convenient tool in describing the structure of regular semigroups. Inductive groupoids of Schein for inverse semigroups, inductive groupoids of KSS Nambooripad for regular semigroups, categories of Rees groupoids of AR Rajan, normal categories of KSS Nambooripad, etc., are some of the instances. In this talk we consider normal categories associated with different classes of regular semigroups. Further the subcategories of inclusions, isomorphisms and retractions in normal categories will also be discussed.