Quantifying of sediment discharge with conventional measurement techniques is expensive and labor intensive. An efficient method that can estimate the average cross-sectional sediment concentration and discharge in a river channel by single-point sampling was developed. This method relies on the Chiu's velocity and sediment distribution models, which are based on a probability concept. The advantage of this approach compared to conventional methods is that the velocity and sediment concentration can be accurately estimated throughout the water depth, including the channel bed and water surface. This method requires determining the location of a vertical hereinafter is referred to as the y-axis, where the maximum velocity of the entire cross section occurs. The correlation between the mean sediment concentration on each vertical and the cross-sectional mean concentration is computed. It has been found that the optimal location of sediment sampling should be on y-axis at a point where sediment concentration is equal to the mean concentration on y-axis. A family of plots for selection of the sampling location was developed. Finally, a method based on Chiu's sediment transport model and data analysis was developed to estimate the mean sediment concentration in a channel section. This sediment concentration can be used to calculate the sediment discharge