The interesting spontaneous synchronization of enzymatic turnover cycles proposed by Mikhailov and Hess ( Hess, B.; Mikhailov, A. J. Phys. Chem. 1996, 100, 19059.) has been investigated with a lattice model. We demonstrate that good synchronization activities of enzymatic turnover cycles found in the original stochastic automaton can be developed in this more realistic model when the correlation length created by the fast diffusion of regulatory particles is large enough. Results presented here indicate that the microscopic self-organization is realistically possible in actual biochemical systems if enzymatic turnover times have a weak dispersion.