The projection image display apparatus includes a display element that emits image light generated by modulating light from a light source based, a pixel-shifter that shifts a pixel of a projected image by changing an optical path of the image light, a resampling circuit, a motion-interpolation image processing circuit, and a pixel-shift controller. The resampling circuit generates a plurality of sub-frame image signals having a resolution of the display element, by resampling an image signal having a resolution of the projected image. The motion-interpolation image processing circuit provides a motion-interpolation image process to the sub-frame image signals. The pixel-shift controller receives the sub-frame image signals having undergone the motion-interpolation image process. The pixel-shift controller drives the display element and the pixel shifter at a given timing based on the sub-frame image having undergone the motion-interpolation image process, and then displays the projected image, which involves pixel-shift, on a screen.