Let $\Gamma$ denote the space of all entire sequences. Let $\Lambda$ denote the space of all analytic sequences. In this paper we introduce a new class of sequence spaces namely the semi difference Orlicz space $cs\bigcap d_{1}$. It is shown that the intersection of all semi difference Orlicz space $cs\bigcap d_{1}$ is $I\subset cs\bigcap d_{1}$ and $\Gamma_{M}\left(\Delta \right)\subset I$.