  In this paper a nonlocal generalization of field quantization is suggested.
This quantization principle presupposes the assumption that the commutator
between a field operator an the operator of the canonical conjugated variable
referring to other space-time points does not vanish as it is postulated in the
usual setting of quantum field theory. Based on this presupposition the
corresponding expressions for the field operators, the eigenstates and the path
integral formula are determined. The nonlocal quantization principle also leads
to a generalized propagator. If the dependence of the commutator between
operators on different space-time points on the distance of these points is
assumed to be described by a Gaussian function, one obtains that the propagator
is damped by an exponential. This leads to a disappearance of UV divergences.
The transfer of the nonlocal quantization principle to canonical quantum
gravity is considered as well. In this case the commutator has to be assumed to
depend also on the gravitational field, since the distance between two points
depends on the metric field.
