A projection display apparatus includes a motion deblurring circuit, an image processing circuit, a color managing circuit, an image projection display device and a multi-axis shifting device. The motion deblurring circuit receives an input video signal with the first resolution and processes it to reduce a motion blur. The image processing circuit receives the input video signal processed by the motion deblurring circuit, and converts it into a plurality of the output video signals with the second resolution. The color managing circuit receives the output video signals with the second resolution, separates the color of the output video signals, and outputs it. The projection device including a digital micro display component has a native resolution with a second resolution, and displays the output video signals. The multi-axis shifting device shifts the output video signals outputted from the image projection display device onto a projection screen with a control timing signal.