A noise reducer to which image data obtained by decoding coding data using a DCT coding is supplied. The noise reduser is comprised as follows. Noise extracting unit for extracting a noise component, first and second noise cancelling unit for cancelling the extracted noise component from input image data, a memory for delaying the image data from the first noise cancelling unit by a predetermined amount and supplying the delayed image data to the noise extracting unit, decimating unit for decimating the image data to be written into the memory, and interpolating unit for interpolating an output of the noise extracting unit and supplying the interpolated output to the second noise cancelling unit whose output is taken out.