  A quantum Schwarzschild spacetime and a quantum Schwarzschild-de Sitter
spacetime with cosmological constant $\Lambda$ are constructed within the
framework of a noncommutative Riemannian geometry developed in an earlier
publication. The metrics and curvatures of the quantum Schwarzschild spacetime
and the quantum Schwarzschild-de Sitter spacetime are computed. It is shown
that up to the second order in the deformation parameter, the quantum
spacetimes are solutions of a noncommutative Einstein equation which is
proposed in this paper.
