The present invention discloses a method of disposing of an organic waste of high water content, and disposal apparatus therefor, with which effective utilization of the organic waste of high water content as fuel can be attained by drying the same with the use of cement calcination equipment, and with which the operation efficiency of cement calcination equipment can be enhanced without the danger of influences on the operation of the cement calcination equipment. The method of disposing of an organic waste of high water content comprises the steps of carrying out by means of heat exchanger (22) a heat exchange between superheated steam and exhaust gas separated by cyclone (2b) of suspension preheater (2) and not only introducing the superheated steam of high temperature after the heat exchange in dryer (23) to thereby dry any organic sludge into a dried organic waste but also carrying out once more by means of the heat exchanger (22) a heat exchange of the superheated steam after the drying to thereby attain circulatory use thereof in the drying of organic sludge; and feeding the resultant dried organic sludge to calciner (3) as fuel and combusting the same.