In this work we study some type of Smarandache semigroups and Smarandache subgroups of a semigroup such as Smarandache cyclic semigroups, Smarandache p- Sylow subgroups and Smarandache normal subgroups. In addition we introduce the concept of Smarandache ideal of a semigroup and study its relation with Smarandache normal subgroup.
