1. An image capturing apparatus capable of shooting still images during a moving image shooting, the apparatus comprising: a still image shooting unit adapted to perform a still image shooting to obtain a still image; a generating unit adapted to generate an alternate image corresponding to a period of the still image shooting performed by the still image shooting unit, wherein the alternate image includes at least one frame of a plurality of frames included in a moving image; a setting unit adapted to set respective white balance control values for the still image and the alternate image in accordance with a recording mode set by a user interface; and an image processing unit adapted to perform an image processing on the still image and the alternate image using the white balance control values set by the setting unit, wherein both the still image to be processed and the alternate image to be processed correspond to same still image data obtained by the still image shooting unit, wherein when the recording mode is set to a first moving image recording mode by the user interface, the setting unit sets a white balance control value for the moving image to both that for the alternate image and that for the moving image accepting the alternate image and when the recording mode is set to a second moving image recording mode by the user interface, the setting unit sets the white balance control value for the still image to that for the still image and uses the white balance control value for the still image to obtain a white balance control value for the alternate image.