An apparatus and method for automatically controlling screens displayed on two display units installed in a mobile terminal are provided, in which, an event is identified, if an event occurs, and on and off states of the display units are controlled, if the event is identified as a control operation of the display units corresponding to a user's key input. If the event is identified as a control operation of the display units corresponding to an operation of a sensor, the display units are automatically controlled corresponding to rotation of the mobile terminal.