The first writer suggests a distribution function for the roots of the complex polynomial corresponding to the nulls of the radiation pattern of a nonuniform array on the unit circle in a complex plane for the purpose of suppression of the side-lobes near the main beam of radiation.This distribution function includes the uniform distribution suggested by Schelkunoff as a special case. Computed results show that by means of this distribution function, a better control of the radiation pattern of a nonuniform linear array can be achieved, especially for the purpose of suppression of the first few side-lobes near the main beam which is important in certain applications at the expense of increasing relatively far off side-lobes. However, the most far off side-lobe can be suitablly reduced by the appropriate shifting of the last null.