An address generation apparatus and an operation apparatus are shown to generate a complex address and to suppress an increase of a mounted area even if a bit width of a counter is widened. An address generation apparatus has at least one counter setting a count value by an operated value, at least one operation section being arranged corresponding to the counter respectively, operating a supplied step value and a count value of the corresponding counter in response to a control signal and supplying the operated count value to the corresponding counter, a selection section selecting either a set value or the operation result of the operation section in response to a control signal and inputting it to the counter, and an address operation section performing an operation in response to a control signal for the count value of the counter and outputting the operation result as an address.