This work is dedicated to the structural-parametric synthesis of capsule neural networks. A methodology for structural-parametric synthesis of capsule neural networks has been developed, which includes the following algorithms: determining the most influential parameters of the capsule neural network, a hybrid machine learning algorithm. Using the hybrid algorithm, the optimal structure and values of weight coefficients are determined. The hybrid algorithm consists of a genetic algorithm and a gradient algorithm (Adam). 150 topologies of capsule neural networks were evaluated, with an average evaluation time of one generation taking 10 hours. Chromosomes and weights are stored in the generation folder. The chromosome storage format is JSON, using the jsonpickle library for writing. Also, when forming a new generation, chromosome files from previous generations are used as a "cache". If a chromosome of the same structure exists, the accuracy is assigned immediately to avoid unnecessary training of neural networks. As a result of using the hybrid algorithm, the optimal topology and parameters of the capsule neural network for classification tasks have been found.