  We quantize the Oppenheimer-Snyder model of black hole using the integral
quantization method. We treat spatial and temporal coordinates on the same
footing both at classical and quantum levels. Our quantization resolves or
smears the singularities of the classical curvature invariants. Quantum
trajectories with bounces can replace singular classical ones. The considered
quantum black hole may have finite bouncing time. As a byproduct, we obtain the
resolution of the gravitational singularity of the Schwarzschild black hole at
quantum level.
