Abstract
The main aim of this research is to introduce Left h- Clifford Semi-rings. Using some basic properties of h-regular semi-rings we shall investigate several properties of Left h-Clifford semi-rings and their characterizations. We will also establish that a semi-group Q will be a Left Clifford Semi-group iff the semi-group P (Q) of all subsets of Q is a Left h-Clifford Semiring. Also, this research will investigate the distributive congruences of regular semi-rings.