A stereoscopic image display control apparatus comprising: a stereoscopic image data reading unit for reading stereoscopic image data that represents a stereoscopic image and that has been recorded on a recording medium; a cross-point information reading unit for reading cross-point information that has been recorded on the recording medium and that represents a cross point, the cross point indicating a depth at which no parallax is produced in the stereoscopic image; a parallax determination unit for determining whether a parallax of a first image portion representing a subject at a depth shallower than the cross point in the stereoscopic image is equal to or greater than a threshold value; characterized by a cross-point control unit for controlling the stereoscopic image data, wherein, if it is determined by said parallax determination unit that the parallax of said first image portion is equal to or greater than the threshold value, said cross-point control unit is adapted to move the cross point to a shallower depth; a first blurring unit for blurring a second image portion, which represents a subject at a depth deeper than the moved cross point, in such a manner that the deeper the subject relative to the moved cross point, the greater the amount of blurring becomes and for blurring said second image portion, in such a manner that the larger a display screen of a display device, the greater the amount of blurring becomes; and a display control unit for controlling the display device so as to display the stereoscopic image in which the second image portion representing the subject at the position deeper than the moved cross point has been blurred by said first blurring unit. a stereoscopic image data reading unit for reading stereoscopic image data that represents a stereoscopic image and that has been recorded on a recording medium; a cross-point information reading unit for reading cross-point information that has been recorded on the recording medium and that represents a cross point, the cross point indicating a depth at which no parallax is produced in the stereoscopic image; a parallax determination unit for determining whether a parallax of a first image portion representing a subject at a depth shallower than the cross point in the stereoscopic image is equal to or greater than a threshold value; characterized by a cross-point control unit for controlling the stereoscopic image data, wherein, if it is determined by said parallax determination unit that the parallax of said first image portion is equal to or greater than the threshold value, said cross-point control unit is adapted to move the cross point to a shallower depth; a first blurring unit for blurring a second image portion, which represents a subject at a depth deeper than the moved cross point, in such a manner that the deeper the subject relative to the moved cross point, the greater the amount of blurring becomes and for blurring said second image portion, in such a manner that the larger a display screen of a display device, the greater the amount of blurring becomes; and a display control unit for controlling the display device so as to display the stereoscopic image in which the second image portion representing the subject at the position deeper than the moved cross point has been blurred by said first blurring unit.