An electronic organ type accelerator pedal apparatus, may include a pedal housing having a pedal arm receiving space therein and a carrier fitting hole, a pedal pivotally hinged to a hinged portion of the pedal housing, a pedal arm pivotally mounted to an inner surface of the pedal housing, wherein one end portion of the pedal arm is elastically biased by an elastic member and the other end portion of which is pivotally coupled to the pedal through the carrier fitting hole to transfer an activating force of the pedal to the other end portion of the pedal arm, and a damping stopper fixed to the inner surface of the pedal housing in the pedal arm receiving space and selectively engaged with the other end portion of the pedal arm to limit a rotation of the pedal arm when the pedal arm is rotated by the elastic member.