The mechanical properties of polymer composite materials largely depend on the interfacial phenomena occurring on the interface between the matrix and reinforcing material. The addition of components to the matrix of polymer composite materials that retain their viscoelastic state during the molding process of the products makes possible to locally change the deformation-and-strength properties of a finished product, adapting it to the specified operating conditions. The viscoelastic components in the hybrid matrix form the third phase of the polymer composite material. Increasing the efficiency of interfacial layers of polymer composite materials with various types of hybrid matrices is the most important task of their development. The samples for microanalysis of the polymer composite material structure with various types of hybrid matrices were molded using the prepreg technology by vacuum molding on the basis of BT400 biaxial basalt fabric. Technical wax, anaerobic (Loctite 638) and organosilicon (Yunisil-9628) polymer materials were selected as the viscoelastic components of the hybrid matrix. In order to explain the reasons for the change in the deformation-and-strength properties of the obtained basalt plastics with various viscoelastic components in the composition of the hybrid matrix, microanalysis of their structure was carried out. A mechanism for choosing a scheme for the location of viscoelastic components in a matrix of polymer composite materials based on the provisions of combinatorial optimization is described.