This paper proposes a low-complexity postprocessing algorithm to remove blocking artifacts and ringing noise in low bit rate video coding. The algorithm combines deblocking and deringing operations to reduce computational complexity compared to existing algorithms like MPEG-4 postprocessing. It analyzes blocks using DCT coefficients and motion vectors to classify them as smooth or complex. Smooth blocks undergo only deblocking while complex blocks undergo deringing, which also removes blocking artifacts. Processing is done selectively using pixel values across block boundaries to improve quality while maintaining low complexity. Simulation results show the proposed algorithm achieves comparable quality to MPEG-4 postprocessing but with only 15% of the computational complexity.