The invention relates to the use of an electrolytic bath for electroplating zinc-particles metal composite coatings of metals with antibacterial ability, which inhibits bacteria growth such as Escherichia coli and Staphylococcus aureus, at least by 87% over its surface. The method of formulating an electrolytic bath that allows the production of antibacterial coatings involves: a) adding metal particles with antibacterial ability suspended in a cationic surfactant to an electrolytic bath containing boric acid, chlorides, polyethylene glycol, benzylideneacetone, sodium benzoate, triethanolamine and dissolved Zn2+salts; b) electroplating the metal composite coating of zinc-antibacterial metal particles by applying direct current density. The occlusion of metal nanoparticles with antibacterial ability in the coating matrix provides a coating with antibacterial characteristics.