1. An image capturing apparatus comprising: an image capturing unit; a detecting unit configured to detect a temperature of said image capturing unit; a display control unit configured to perform live view display for displaying, in series, images successively captured by said image capturing unit on a display unit; and a control unit configured to control, in a case where the temperature detected by said detecting unit exceeds a first temperature, the display unit to display a first indication while the live view display is performed, to control, in a case where the temperature detected by said detecting unit exceeds a second temperature higher than the first temperature, the display unit to display a second indication, which is different from the first indication, while the live view display is performed, and not to prevent, in a case where the temperature detected by said detecting unit falls within the range from the first temperature to the second temperature and the display unit displays the first indication, said image capturing unit from capturing a moving image.