Abstract: This paper describes the lossless data compression techniques LZWand also discuses about its enhancement. In lossless data compression there is no loss in original information, means that the Pre-compressed and decompressed information is same. The BHEPL is use to short processing time for image enhancement.Bi-Histogram Equalization with a Plateau Value(BHEPL) is similar to Brightness Preserving Bi-Histogram Equalization (BBHE). BHEPL enhancement method is the combination of two methods first one is BBHE and second one is clipped histogram. In BBHE we first calculate the average intensity of input image. And in BHEPL enhancement method we divide the input image into two parts or two sub images and then decide the plateau value of each sub part of the image. This paper discus about LZW, BHEPL, original enhancement image and compressed enhancement image.