A digital broadcasting reception apparatus and robust stream decoding method thereof. The digital broadcasting reception apparatus includes a robust decoder that decodes a robust stream of a dual transport stream where a normal stream and the robust stream are combined. The robust decoder includes a first decoder that trellis-decodes the robust stream; a robust deinterleaver that interleaves the trellis-decoded robust stream; a second decoder that convolution decodes the deinterleaved robust stream; a robust interleaver that interleaves the convolution-decoded robust stream; and a frame formatter that adds decoded data of the second decoder to a part that corresponds to a position of the robust stream of a frame where the normal stream and the robust stream are mixed. Accordingly, a receiver of a simple structure can be provided.