The control of the dimensions of the particles and layers of particles in the electrochemical processes is one of the basic problems of the various forms of electrochemical technologies. The transition from macro- to micro- and nano- technologies is one of the basic tendencies in the development of the modern electrochemical dimensional treatment methods. The nucleation phenomenon, i.e., the formation of the nuclei, has long been studied in kinetic of phase transition.   Some stages in the development of nucleation theory presented in the table.  The plan of reports is structured as follows: 1. After introductory the first goal of the present work is to find an explicit form of the energy, which allows describing the nucleation phenomenon in a particle of cylindrical shape, taking into account the surface anisotropy effect. We find an analytical solution for corresponding nonlinear differential equation of the nucleation phenomena for this kind of object [1].  2. The theoretical model for thermodynamic description is developed, where the phase transition of the system is obtained [2].   3. The results of theory for the case of electrochemical nucleation were adapted, and the solutions of problems for the electrochemical kinetics are presented [3].  Finally, the conclusions are summarized, and connection for this theory with the well-known Cahn’s theory and theory of micromagnetism is considered.