Several studies have modeled the movement of sediment particles as random walks in which the movement space is completely surrounded by reflecting barriers. As a consequence, a particle never escapes from the movement space. For some applications, this is an undesirable attribute in that it artificially counteracts the natural movement (downstream, downslope, or settling) of a particle. In the recurring random-walk model, the movement of a particle is also described by a random walk but in a space that is bounded partly by reflecting barriers and also by an absorbing barrier through which the particle escapes. To compensate for this removal, new particles are added to the movement space at periodic intervals. The recurring random-walk model may be formulated as a sequence of independent random walks that differ only in the times at which the movement of a particle is initiated. It is shown that, under general conditions, a steady-state distribution of particle movement is attained. Measures of the sediment concentration profile at steady state are obtained.