The velocity distribution and resistance for a body moving in a channel differs from that of in unrestricted water. A simple method has been developed to determine these velocity and resistance differences. An ellipsoid of revolution has been taken as the equivalent body from the blockage effect point of view. The motion of the equivalent ellipsoid in a rectangular channel has been studied by slender body approximation. The velocity increases have been computed numerically for different channels and velocities. Curve fitting has been applied to these velocity increases and velocity increase formulae have been obtained for different channel width-depth ratios. The resistance variation in unrestricted water can be easily obtained from values in a rectangular channel or vice versa by applying the method presented here.