  Extending a recently proposed procedure of construction of various elements
of diffential geometry on noncommutative algebras, we obtain these structures
on noncommutative superalgebras. As an example, a quantum superspace covariant
under the action of super-Jordanian $OSp_h(2/1)$ is studied. It is shown that
there exist a two paramater family of torsionless connections, and the
curvature computed from this family of connections is bilinear. It is also
shown that the connections are not compatible with the metric.
