  Frame theory is recently an active research area in mathematics, computer
science, and engineering with many exciting applications in a variety of
different fields. In this paper, we firstly give a characterization of operator
frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ and $K$-operator frames for
$End_{\mathcal{A}}^{\ast}(\mathcal{H})$. Lastly we consider the stability of
operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ and $K$-operator
frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ under perturbation and we
establish some results.
