A moving image processor includes a first and a second moving image processing unit which are able to perform parallel operation, and a data transfer unit having a first buffer and a second buffer. The first moving image processing unit processes macroblocks MB00, - - - , of one row of one image sequentially, and the second moving image processing unit processes macroblocks MB10, - - - , of the next row sequentially. The first and the second moving image processors include a first and a second deblocking filters, respectively. Operation timing of the second filter is delayed by the processing time of two macroblocks, compared with operation timing of the first filter. The processing results of the first filter and the second filter are transferred to an external memory via the first buffer and the second buffer of the transfer unit.