The aim of the work is to develop and justify the principles of team completion for competitive performances using multidimensional analysis methods in aesthetic sports. Participants. 46 qualified aerobics participated in the study, 22 athletes made up a control group, 24 were experimental, and 19 aerobists, 9 athletes made up an experimental group, 10 were a control group. Research methods: theoretical analysis of literature data; method for evaluating the results of competitive activities; pedagogical experiment; methods of mathematical statistics with the use of computer programs "EXEL" and "SPSS". The data obtained were analyzed using non-parametric Kolmogorov-Smirnov tests for independent samples and Wilcoxon for dependent samples. Results. It is shown that the application of methods of multivariate analysis is an effective, fast and reliable method of determining groups of athletes for the optimal combination of teams in aesthetic sports. The principles of selecting competitive programs for athletes of different groups are shown, depending on the individual psychophysiological characteristics of athletes. The positive influence of the application of the developed principles on the competitive performance of athletes is shown. Before the experiment, the control and experimental groups were not statistically different between each other (p> 0.05). After the experiment, statistically significant differences in the competitive performance of the athletes of the experimental and control groups (p <0.05) were revealed. Conclusions. The construction of the training and training process with the application of the principles of completing teams based on the individual characteristics of athletes had a positive impact both on the level of special physical preparedness and on the effectiveness of the competitive activity of athletes.