[en] The conventional extension of the canonical quantization for the local field theories leads to serious mathematical and physical problems (ultraviolet catastrophes and instability of the vacuum). A new proposed method of this extension exploits maximally the principle of locality. Identical copies of the quantum counterparts of the classical mechanical system are placed at each points of a hyperspace of fixed time. The global system is synthetized by quantum statistical method. The argument of wave function, the field operator does not depend explicitely on the point of the space-time. In the perturbation theory the interaction Hamiltonian is now not global but local, thus the usual ultraviolet divergences do not appear. This formalism is an explicite example that the quantum dynamics of a system can be locally implemented, according to the physical measuring situation. (D. Gy.)