A digital signal processing apparatus which is used for the computation of coding image signals or the like and a motion compensative operation method which uses a digital signal processing apparatus. The apparatus comprises a plurality of signal processing means arranged in parallel and control means which assigns loads to the signal processing means so that the signal processing means have even computation volumes. Alternatively, an address generator is provided for each of data sets entered independently. An intermediate check is conducted during the computation for a block which involves a motion compensative operation.