In this paper, we introduce the concepts of $\Delta^m-$deferred statistical convergence of order $\alpha$ and strong $\Delta^m_r-$deferred Cesàro summability of order $\alpha$ of real sequences. Additionally, some inclusion relations about $\Delta^m_r-$deferred statistical convergence of order $\alpha$ and strong $\Delta^m_r-$deferred Cesàro summability of order are given.