In an irrigation scheme, seemingly the most simple and yet the most important thing is the channel. Proper alignment, slope, shape and size of sections, berms, height of spoil banks—all constitute potent factors for the design of a good channel. These are fixed from considerations of facility of command, economy and ease of maintenance. Under the category ease of maintenance and also of ultimate economy falls the design of non-silting and non-scouring channel. Mr. R. G. Kennedy found out some empirical relations for the design of non-silting and non-scouring channel, since accepted as a basis of design of stable channels in India and in some foreign countries. In order that the designed channels conform to Kennedy’s equation, trial and error procedure is required at present and precision is hard to get. In this paper the author has found out the approximate mathematical relation with which it is possible to find out a channel section precisely by one or two approximations. He has also drawn our attention to the general character of an empirical relation and cautioned us against its free use like the equations under general laws.