While the problem of hierarchical menu design is very common in user interface design, existing approaches lack either semantic aspects or optimization techniques. We suggest a semantic-aware mathematical model of hierarchical menu optimization and algorithms developed on the basis of this theory. These algorithms are implemented in the ready-to use design tool. The approach is illustrated by optimization of a banking voice menu. Original Russian Text © A.I. Danilenko, M.V. Goubko, 2012, published in Problemy Upravleniya, 2012, No. 2, pp. 38–44. Первоначальный русский текст опубликован в журнале "Проблемы управления", № 2, 2012, С. 38-44 и доступен по адресу http://www.mtas.ru/search/search_results.php?publication_id=18742