The structural behaviour of textile-reinforced concrete (TRC) components under uniaxial compressive loading has already been studied. However, for practical applications, multi-axial loading conditions are often of great importance. It is well known from steel-reinforced concrete that multiaxial compressive stresses lead to increased compressive strength. The extent to which this assumption can be transferred to TRC components should be investigated. This paper investigates the influence of textile carbon grid reinforcement on the compressive capacity of disc-shaped concrete specimens. The specimens were subjected to a biaxial compressive load in the plane of the reinforcement. Emphasis was placed on the influence parameters of production type of the disc specimens (laminated or poured), impregnation material of the carbon textile (polystyrene or epoxy resin) and number of reinforcement layers. It was found that the general presence of a textile reinforcement as a two-dimensional interference plane had the greatest influence on the compressive capacity of the specimens, while the other parameters investigated played a minor role. Depending on the load ratio in the two compression axes, there were increases or decreases in capacity compared to the uniaxial tests. This has to be taken into account in the design of the corresponding components. Finally, an outlook is given on future investigations planned to support and extend the results presented in this paper.