A method for accessing, in reading, programming, and erasing a semiconductor-integrated non-volatile memory device of the Flash EEPROM type with a NAND architecture having at least one memory matrix organized in rows or word lines and columns or bit lines, and wherein, for the memory, a plurality of additional address pins are provided. The method provides both an access protocol of the asynchronous type and a protocol of the extended type allowing to address, directly and in parallel, a memory extended portion by loading an address register associated with the additional pins in two successive clock pulses. A third multi-sequential access mode and a parallel additional bus referring to the additional address pins are also provided to allow a double addressing mode, sequential and in parallel.