The multilevel dual-channel (MLDC) not-AND (NAND) flash memories cell structures with asymmetrically-doped channel regions between the source and the drain were proposed to enhance read and program verifying speeds. The channel structure of the MLDC flash memories consisted of two different doping channel regions. The technical computer aided design simulation results showed that the designed MLDC NAND flash cell with asymmetrically-doped channel regions provided the high-speed multilevel reading with a wider current sensing margin and the high-speed program verifying due to the sensing of the discrete current levels. The proposed unique MLDC NAND flash memory device can be used to increase read and program verifying speed.