Slack water deposits are usually fine-grained (fine sand and coarse silt) flood sediments deposited in areas of the floodplain that are sheltered from high-velocity flood flows. Slack water deposits have been recognized by many investigators in a wide variety of physiographic and climatic settings. Late Quaternary slack water deposits have not been described from the extremely arid Namib Desert of southwestern Africa. Fine-grained flood sediments in the Kuiseb Valley near Homeb, accumulated between 23,000 and 19,000C-years BP, have been interpreted by previous workers as (i) sediments deposited behind dune dams, (ii) river endpoint accumulations, and (iii) flood deposits of an aggrading river controlled either by a base level change in the lower reaches or a change in the hydrological regime in the catchment area. Keywords: Slack water deposits (SWD), Namib desert, Paleohydrology, LGM paleoclimate.