A NAND flash memory device and a programming method thereof capable of improving a program speed during a multi-level cell programming operation are provided. The device performs a programming operation using an ISPP method. Additionally, the device includes a memory cell storing multi-bit data; a program voltage generating circuit generating a program voltage to be supplied to the memory cell; and a program voltage controller controlling a start level of the program voltage. The device supplies an LSB start voltage to a selected word line during an LSB program, and an MSB start voltage higher than the LSB start voltage to the selected word line during an MSB program.