A electronic device and a display method thereof are provided. A control method of the electronic device includes: detecting a touch input on an auxiliary display area; in response to a touch input being detected on a first area of the auxiliary display area in a and the electronic being in a state in which the electronic is gripped by a user, processing the touch input as a user input; and, in response to the touch input being detected on a second area of the auxiliary display area different from the first area and the electronic being in the state in which the electronic is gripped by the user, disregarding the touch input.