  Local path integral quantization of generic 2D dilaton gravity is considered.
Locality means that we assume asymptotic fall off conditions for all fields. We
demonstrate that in the absence of `matter' fields to all orders of
perturbation theory and for all 2D dilaton theories the quantum effective
action coincides with the classical one. This resolves the apparent
contradiction between the well established results of Dirac quantization and
perturbative (path-integral) approaches which seemed to yield non-trivial
quantum corrections. For a particular case, the Jackiw--Teitelboim model, our
result is even extended to the situation when a matter field is present.
