Electronic devices including touch circuits and method of operating the electronic devices are provided. An electronic device includes a display; a touch circuit configured to detect a touch put on the display; a processor; and a memory. The touch circuit is further configured to acquire touch sensing information representing the sensitivity levels of inputs to respective multiple nodes of the touch circuit, identify information associated with a user's ear touching the electronic device, on the basis of the touch sensing information; and transfer, to the processor, the information associated with the ear touching. The memory stores instructions, which when executed, cause the processor to control the display to an on-state and to control the display to switch the display from the on-state to an off-state based on the information associated with the ear touching, which is obtained from the touch circuit.