The non-trivial ultraviolet fixed point in quantum gravity is calculated by
means of the exact renormalization group equation in d-dimensions (2 simil
ar or equal to d less than or equal to 4). It is shown that the ultraviolet
non-Gaussian fixed point which is expected from the perturbativelly E-expa
nded calculations in 2 + epsilon gravity theory remains in d = 4. Hence it
is possible that quantum gravity is an asymptotically safe theory and renor
malizable in 2 < d.