The method of the invention comprises accumulating experimental data or obtaining existing data with regard to the optimal time-temperature relationship of the deposition process on various film-formation stages for various materials, forming nuclei of a selected material on the surface of the treated object in the first stage under first temperature-controlled conditions for the formation of nuclei of said selected material, converting the nuclei of the aforementioned selected material into island-structured deposited layer of said material by causing lateral growth of the nuclei under second temperature-controlled conditions; converting the island-structure layer into a continuously interconnected cluster structure by causing further lateral growth of said island-structured deposited layer under third temperature-controlled conditions; forming a first continuous film of said material under fourth temperature controlled conditions which provides said first continuous film with predetermined properties; and then completing the formation of a final coating film by growing at least one subsequent continuous film of said material under fifth temperature-controlled conditions until a film of a predetermined thickness is obtained. The fifth temperature-controlled conditions may be characterized by a pulse-mode or step-like variations of temperature in time with rapid cooling or heating for obtaining high degree of crystallinity or for increase in the rate of deposition. The method of the invention could be realized with the use of the electroless deposition apparatus with instantaneous cooling or heating of the object, e.g., a semiconductor substrate, in a deposition chamber.