Provided is a data flow parallel processing apparatus and method. The data flow parallel processing apparatus may include a flow discriminating unit to discriminate a flow of input first data, a processor allocating unit to allocate, to the first data, a processor that is not operating among a plurality of processors, a sequence determining unit to determine a sequence number of the first data when a second data having the same flow as the discriminated flow is being processed by any one processor composing the plurality of processors, and an alignment unit to receive the first data processed by the allocated processor and to output the received first data based on the determined sequence number.