The strength and stiffness of masonry depend on various factors, such as the properties of the brick and mortar, their specific volume, relative position and quality of adhesive bonds. A high degree of uncertainty of these factors and a large scatter of experimental data in the testing of bricks and mortar are the important features of the masonry. In this paper, we present a mathematical model that allows us to determine the averaged characteristics of masonry based on the mechanical properties of substructural materials and their specific volume content in a fuzzy setting. All input parameters allowing to obtain fuzzy estimates of stresses and deformations of a brickwork fragment are determined by membership functions. For a representative volume of masonry, dependencies are obtained that allow to determine the level of destructive loads and the nature of destruction.