The problem of maximizing array gain (AG) for situations where ambient noise is the dominant interference has already been extensively investigated, These investigations have resulted in mathematical solutions having significant promise for various practical applications. A closely related and more general problem arises when interference is dominated by reverberation; in this situation the gain against reverberation (the reverberation gain, RG) must be maximized. The same general mathematical approach can be applied to both problems in that the omnidirectional ambient noise limited condition can be considered a specific case of the more general directional ambient noise limited condition and the reverberation limited condition. Much of the existing theory has been directed at the specific cases thus leaving unfinished a comprehensive treatment of the general case. In this presentation, the complete RG‐maximization problem will be addressed; a mathematical procedure to achieve the solution will be outlined; this procedure is developed with sufficient generality so that the maximization of AG is automatically included. An application of this technique is carried out for a three‐dimensional array which demonstrates the validity and the effectiveness of this technique. [Work supported by NUSC.]