  We discuss the BRST and anti-BRST symmetries for perturbative quantum gravity
in noncommutative spacetime. In this noncommutative perturbative quantum
gravity the sum of the classical Lagrangian density with a gauge fixing term
and a ghost term is shown to be invariant the noncommutative BRST and the
noncommutative anti-BRST transformations. We analyse the gauge fixing term and
the ghost term in both linear as well as non-linear gauges. We also discuss the
unitarity evolution of the theory and analyse the violation of unitarity of by
introduction of a bare mass term in the noncommutative BRST and the
noncommutative anti-BRST transformations.
