This paper deals with the bed-load transport of river sediments moving by saltation. The movement of spherical solid particles in an open channel flow is determined by numerical calculations based on Lagrangian approach. This approach reflects the balance of the drag force, lift force, added mass force, Magnus and Basset forces. The particle behaviours for different boundary conditions as well as for different particle sizes are discussed in detail. Solving the Lagrange equation makes it possible to compute the sequences of trajectories of individual saltating grains and to receive the vertical profile of sediment concentration. To verify these calculations, comparisons with measurements are presented. The comparisons are made for a few sediment sizes in the range from 0.00053 to 0.015 m and for the Peter-Meyer and Mueller, and Fernandez Luque and Beek formulae. The results of comparisons show that the model can be used for estimating the bed-load transport.

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