An ink jet head cleaning apparatus is provided which includes a wiping unit which performs a wiping operation for a nozzle surface of an ink jet head and a suction unit which performs a sucking operation for the nozzle surface. An operation OFF condition of the wiping unit and an operation OFF condition of the suction unit is detected, and the wiping unit and the suction unit are actuated selectively in accordance with the operation OFF condition thus detected. If an elapsed time after the wiping operation is longer than a first predetermined time, the wiping unit is actuated, and if an elapsed time after the sucking operation is longer than a second predetermined time, the suction unit is actuated. The first predetermined time is longer than the second predetermined time.