  Let $G_\mathbb{R}$ be a Lie group and $G$ its complexification. An open
$G_\mathbb{R}$-orbit in a $G$-flag manifold is measurable whenever it carries a
$G_\mathbb{R}$-invariant volume element. In this paper the notion of
measurability is generalized to the supersymmetric setting and a classification
of measurable open orbits in flag supermanifolds is given.
