  We define a super version of the Connes-Moscovici Hopf algebra,
$\mathcal{H}_1$. For that, we consider the supergroup
$G^s=Diff^+(\mathbb{R}^{1,1})$ of orientation preserving diffeomorphisms of the
superline $\mathbb{R}^{1,1}$ and define two (super) subgroups $G^s_1$ and
$G^s_2$ of $G^s$ where $G^s_1$ is the supergroup of affine transformations. The
super Hopf algebra $\mathcal{H} ^s_1$ is defined as a certain bicrossproduct
super Hopf algebra of the super Hopf algebras attached to $G^s_1$ and $G^s_2$.
We also give an explicit description of $\mathcal{H} ^s_1$ in terms of
generators and relations.
