Personnel selection is a critical process for organizations and both quantitative and qualitative factors are used in the decision phase. The criteria should be unique to the organization and the best alternative should be chosen to satisfy requirements. This paper researches the instructor selection process for military academics. The criteria are weighted with fuzzy Analytic Hierarchy Process (AHP) by experts and candidates are ranked by using fuzzy Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) Method. The purpose of Fuzzy TOPSIS method, which is one of Multiple Criteria Decision Making (MCDM) methods, is to allow group decision-making in a fuzzy environment. It involves the calculation of the closeness coefficients by means of Fuzzy Positive Ideal Solution (FPIS) and Fuzzy Negative Ideal Solution (FNIS). Alternatives are ranked according to the calculated closeness coefficients. In the study, candidates were assessed by three DM's in accordance with seven decision criteria. The decision makers carried out assessments with linguistic variables, and subsequently these variables were transformed into positive trapezoidal fuzzy numbers. The study shows that as a decision tool, the Fuzzy TOPSIS method integrated with Fuzzy AHP is extremely well suited to evaluation and selection decisions regarding candidates for position of instructor.