A projector includes: a spatial light modulator provided for each color light flux and configured to modulate the light flux in accordance with an image signal; a light combining system configured to combine the color light flux outputted from the spatial light modulator; a projection system configured to project the light combined by the light combining system; a fixing member configured to integrally fix the spatial light modulator, the light combining system, and the projection system; a base on which the spatial light modulators and the light combining system fixed to the fixing member are mounted; and a cover member configured to cover the spatial light modulator and the light combining system mounted on the base, wherein the base and the cover member form a cooling duct through which cooling air for sequentially cooling the spatial light modulator for the respective color light flux flows.