An image processing apparatus includes an interlace-progressive converter converting an interlace input image into a progressive intermediate image, a motion-vector detector detecting motion vectors of the input image by using a distance shorter than the pixel interval of the intermediate image, a cyclic-coefficient setting unit setting, on the basis of a vertical motion, a first cyclic coefficient for a first type of pixel and a second cyclic coefficient for a second type of pixel, a motion compensator motion-compensating, on the basis of the motion vectors, a past progressive output image to generate a motion-compensated image, and an output image generator generating a progressive output image by adding pixel values of the first type of pixels and the second type of pixels of the progressive intermediate image and the motion-compensated image by using the first cyclic coefficient and the second cyclic coefficient as weights.