If the distance from the driver to the virtual image of a head-up display is short, when the driver is viewing the scenery ahead, there is perception of a HUD double image by the left and right eyes. This paper describes an indoor experiment carried out to analyze the relationship between the feeling of troublesomeness of the HUD and binocular vision. In the case of a HUD displayed to the right side from center, of the double image, it is clear that it more strongly receives the influence of the image by observation with the right eye. Conversely, in the case of a HUD displayed to the left side of center, of the double image, there is a stronger influence of the image received by observation with the left eye. This paper also involves analysis of the influence of the preferred eye on a feeling of troublesomeness.