  The concept of operator frame can be considered as a generalization of frame.
Firstly, we introduce the notion of operator frame for the set of all
adjointable operators $Hom_{\mathcal{A}}^{\ast}(\mathcal{X})$ on a Hilbert
pro-$C^{\ast}$-module $\mathcal{X}.$ The analysis operator, the synthesis
operator and the frame operator are presented. Secondly, we study the stability
of operator frame under small perturbations. We also study the tensor product
of operator frame for Hilbert pro-$C^{\ast}$-modules. Finally, we establish its
dual and some properties.
