An image display apparatus comprising: a display; an image receiver to receive an high dynamic range, HDR, image; and a controller configured to set luminance information of an image to be displayed based on information about a luminance that is displayable on the display and to perform control to display an image having a luminance adjusted based on the set image luminance information, wherein the image display apparatus further comprises an interface unit to receive luminance setting input with respect to an image to be displayed, and the controller is configured to set a first lookup table, LUT, for setting the luminance of an image to be displayed based on luminance information of the received HDR image, HDR image luminance information in metadata and information about a luminance that is displayable on the display and the luminance setting input, and to adjust the luminance of the image to be displayed based on the set first LUT, wherein the controller is configured to extract the maximum luminance information from the luminance information of the HDR image, and to vary the first LUT when the maximum luminance of the HDR image is greater than the luminance that is displayable on the display, wherein the controller is configured to vary the first LUT based on a set highest N% luminance point (Pon) so that the maximum luminance of the input image (Pom) corresponds to the saturation luminance on the display and so as to set a first conversion section between the the set highest N% luminance point (Pon) and a second point, Paa, and a second conversion section between the second point, Paa, and the maximum luminance of the input image (Pom), the second conversion section being different from the first conversion section, and wherein the second point, Paa, designates a luminance of the input image corresponding to the saturation luminance on the display in the first LUT before variation. a display; an image receiver to receive an high dynamic range, HDR, image; and a controller configured to set luminance information of an image to be displayed based on information about a luminance that is displayable on the display and to perform control to display an image having a luminance adjusted based on the set image luminance information, wherein the image display apparatus further comprises an interface unit to receive luminance setting input with respect to an image to be displayed, and the controller is configured to set a first lookup table, LUT, for setting the luminance of an image to be displayed based on luminance information of the received HDR image, HDR image luminance information in metadata and information about a luminance that is displayable on the display and the luminance setting input, and to adjust the luminance of the image to be displayed based on the set first LUT, wherein the controller is configured to extract the maximum luminance information from the luminance information of the HDR image, and to vary the first LUT when the maximum luminance of the HDR image is greater than the luminance that is displayable on the display, wherein the controller is configured to vary the first LUT based on a set highest N% luminance point (Pon) so that the maximum luminance of the input image (Pom) corresponds to the saturation luminance on the display and so as to set a first conversion section between the the set highest N% luminance point (Pon) and a second point, Paa, and a second conversion section between the second point, Paa, and the maximum luminance of the input image (Pom), the second conversion section being different from the first conversion section, and wherein the second point, Paa, designates a luminance of the input image corresponding to the saturation luminance on the display in the first LUT before variation.