Phenomenon of the regular variability of the fine structure of the fluctuation in the am- plitude distributions (shapes of related histograms) for the case of Brownian motion was investigated. We took an advantage of the dynamic light scattering method (DLS) to get a stochastically fluctuated signal determined by Brownian motion. Shape of the histograms is most likely to vary, synchronous, in two proximally located independent cells containing Brownian particles. The synchronism persists in the cells distant at 2 m from each other, and positioned meridionally. With a parallel-wise positioning of the cells, high probability of the synchronous variation in the shape of the histograms by local time has been observed. This result meets the previous conclusion about the dependency of histogram shapes (“fluctuation amplitudes” of the spectra of stochastic processes) upon rotation of the Earth.