Experimental data available in the literature are used in this study for the investigation of threshold condition and sediment transport in incipient deposition condition. Using data from three different rigid boundary channel cross-sections, namely, rectangular, circular and U-shape, a unique equation is obtained for calculating flow velocity at the moment of sediment incipient deposition. The sediment transport models for incipient deposition condition are proposed in general and for different cross-section of channels. The derived equations are compared with other models in the literature. It is concluded that threshold condition of sediment motion has a range its higher and lower boundaries are related to the incipient deposition and incipient motion of particles, respectively. Results seem to be efficient to hydraulic engineers for designing drainage systems.