A progress of slurry transport is described in this report. In around 1980, slurry transport was extensively studied. Papers on pressure losses of slurry flows, transition velocity, measurement of in-situ concentration, snow/ice-water slurry flows were published by several researchers. Recently, the study on slurry transport is not so active, but solid-liquid flows can be seen in many fields. It is anticipated that studies on solid-liquid flows in the fields of disaster site restoration and next-generation resources and energy development will be progressed.