Abstract: This note deals with the Huffman encoding phase of two well-known compression encoders. one that of the baseline algorithm proposed by .JPEG for compression of still ,images. and other of the H.261 based video encoder. It identifies two types of minor redundancies in the input to the ending phase. and presents alternative Huffman rock tables. Simulation results on still picture compressions indicate that the proposed redundancy reduction leads to an improvement of the order of 3.35% in the site of t/w image compressed at 75% quality level and 5.3% compressed at the 60% quality level on the average.