an apparatus and method for driving a multi - level gray scale display are provided . the apparatus displays multi - level gray scale without an analog driving ic and includes a row function generator for generating a row function , a column signal operator for receiving and operating the row function and display data to output a column data , a standard voltage selection signal generator for receiving a clock to generate a standard voltage selection signal , a column signal generator for generating a plurality of levels of column standard voltages and dividing the column standard voltage selected according to the standard voltage selection signal to generate a plurality of levels of column voltage so as to drive the column electrode according to the column data , and a row signal generator for generating a plurality of row standard voltages and dividing the row standard voltage selected according to the standard voltage selection signal to generate a plurality of levels of row voltage so as to drive the row electrode according to the row function .