In order to increase the level of efficiency of strategic management of the enterprise as a result of strategy implementation by means of various tactical approaches, the article investigates methods and models for selecting tactical approaches to strategy implementation: enterprise strategy and tactics tree (S&T tree), marginal approach to the choice of tactics, hidden Markov model, method of morphological analysis, etc. Critical analysis of the methods has proved the necessity of combining them in order to increase the effectiveness of the mathematical apparatus, which is designed to reduce the subjectivity, which is inherent in heuristic methods (provided by most of the studied methods).In order to achieve the goals of the article, it is recommended the procedure for choosing tactical approaches to implementing the strategy: definition of the purposes and tasks, information maintenance of process of a choice of the tactical approach; formation of a set of strategic approaches for realization of strategy of the enterprise for what it is possible to use elements of a suffix tree; selection of criteria for acceptability of the tactical approach (Boolean variables that characterize the costs of the enterprise and the implementation of the tactical approach, the level of prices for finished products and services, market capacity in which the company operates, the level of market competition, international economic relations) and their expert evaluation; formation of a table of values of the Boolean function of an acceptable tactical approach to implementing enterprise strategy and evaluating the Boolean vector number; formation of an evaluation scale depending on the set of tactical approaches of the enterprise; selection tactical approach on the recommended scale.The practical implementation of the recommended procedure at TMC «Lvivholod» Ltd. (the company is one of the leaders in the retail trade of Western Ukraine with more than ten years of experience in retail, it ranks 5th place in the all-Ukrainian ranking of networks by number of outlets) has allowed to choose a tactical approach, which involves the transformation of existing products in the enterprise, the formation of their new features and subspecies that can meet the different needs of consumers, the development of quality characteristics of the enterprise's products, excellent product properties..