The possibility for compression of self-modulated pulses with Joule energy and duration about 1 psec to durations less than 100 fsec is shown. Variation of the compression degree and of contrast of such pulses was studied in dependence on their shape, parameters of the medium, type of applied compressor, and limitations by competing nonlinear processes. The effect of supercompression of self-modulated and modulated pulses by means of a compressor of a special type was found. The possibility of SBS compression of laser pulses with super-high power was found.