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Extending a recently proposed procedure of construction of various elementsof diffential geometry on noncommutative algebras, we obtain these structureson noncommutative superalgebras. As an example, a quantum superspace covariantunder the action of super-Jordanian $OSp_h(2/1)$ is studied. It is shown thatthere exist a two paramater family of torsionless connections, and thecurvature computed from this family of connections is bilinear. It is alsoshown that the connections are not compatible with the metric.Comment: 19 page

Noncommutative geometry of super-Jordanian OSph(2/1) covariant quantum space