A configuration of 11-dimensional curved superspace as backgrounds for supermembrane

We calculate all of vielbein superfields up to second order in anticommuting coordinates in terms of the component fields of 11-dimensional on-shell supergravity by using `Gauge completion’. This configuration of superspace holds the $\kappa$-symmetry for supermembrane Lagrangian and represents 11-dimensional on-shell supergravity.