  We provide a characterization for operator valued completely bounded linear
maps on Hilbert $C^*$-modules in terms of $\varphi$-maps. Also, we show that
for every operator valued completely positive map $\varphi$ on a $C^*$-algebra
$\mathcal{A}$, there is a unique (up to multiplication by a unitary operator)
non-degenerate $\varphi$-map on each Hilbert $\mathcal{A}$-module.
