The underpotential deposition of metals on a single crystal electrode in the presence of anions has been studied in the framework of a triangular lattice gas model with pair-and three-particle lateral interactions. Interactions between the adsorbed species cause the formation of the ordered (root 3 X root 3) structures in accordance with the symmetry of the lattice of adsorption sites. Using the mathematical equivalence between the lattice gas model and Ising and Blume-Emery-Griffiths spin models, we apply the method of the real space renormalization group for investigation the phase diagram of the system and the processes of deposition and desorption of the ions. It is shown that the phase transitions, occurring in the system, influence the underpotential deposition of metal ions strongly and are observed as sharp peaks in the voltammograms. We calculate coulometric and voltammetric curves and estimate the order of the lateral interaction magnitude between the adsorbed ions.