The present invention relates to a field emission apparatus and a method of driving the field emission apparatus, which has a three-pole structure of dual emitters formed on both first and second electrodes of a rear substrate in order to obviate a distinction between a gate and a cathode, thus enabling dual field emission. In such a field emission apparatus, a ground is formed between an anode and a point of the first and second electrodes of the rear substrate, and a square wave is applied thereto in order to alternately generate field emission in the first and second electrodes, thus increasing a light-emitting area and emission efficiency, decreasing a driving voltage and consumption power, saving the manufacturing cost and manufacturing time, and accomplishing a longer lifespan.