A method for programming a non-volatile memory device is provided. The method comprises applying a program word line voltage with a voltage level changed stepwise to a selected word line connected to a plurality of memory cells, and applying a program bit line voltage to a first bit line of a plurality of bit lines connected to a plurality of first memory cells, while the program word line voltage is applied to the selected word line. The program bit line voltage transitions from a first voltage level to one of a program inhibit voltage level, a program voltage level, and a second voltage level. The first and second voltage levels are between the program inhibit voltage level and program voltage level.