The system comprises a conveyor for conveying a plurality of molds along a production path on which is located a plurality of stations, each of which can execute at least one corresponding operation. Each mold carries an electronic identification device including memory devices from and to which information or data can be read and written without contact by means of an antenna. Each station is provided with an electronic unit including a processor, having memory devices and at least one antenna, and designed to read and/or write information or data from or to the memory devices of a mold passing through the station. An initial input station transfers or writes to the memory devices of each mold passing through it information identifying the products to be formed in the mold and relating to corresponding forming operations. The additional stations can be controlled selectively in a plurality of predetermined modes for the forming of a corresponding plurality of different product types, the electronic unit of each station being capable of selectively modifying the mode of execution of at least one of its operations, in accordance with operating information read from the memory devices associated with the mold passing through it.
