  In this Letter we consider the perturbative quantum gravity on the
super-manifold which remains invariant under absolutely anticommuting BRST and
anti-BRST transformations. In addition to that the theory posses one more
symmetry known as shift symmetry. The BRST invariant Batalin-Vilkovisky (BV)
action for perturbative quantum gravity is realized as a translation in
Grassmann coordinate. Further we show that the quantum master equation of the
BV quantization method at one-loop order can be translated to have a superfield
structure for the action. However, the BRST as well as anti-BRST invariant BV
action is constructed in superspace with the help of two Grassmann coordinates.
