1. An image capturing apparatus comprising: a first recording control unit configured to perform processing of generating an HDR video frame having a high dynamic range by generating video frames from a plurality of frames of different exposure conditions and composing the video frames, and recording the HDR video frames in a recording medium as an HDR video; an accepting unit configured to accept a still image shooting instruction during the processing by the first recording control unit; and a second recording control configured to generate, when the accepting unit accepts the still image shooting instruction during the processing by the first recording control unit, an HDR still image frame having a high dynamic range by generating a plurality of still image frames of different exposure conditions during the processing by the first recording control unit and composing the still image frames, and recording the HDR still image frame in a recording medium as an HDR still image.