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A failure criterion is proposed which allows describing the strength of unidirectional CFRP under tension-compression at an off-axis angle with strength applicable for practical use. An experimental verification was carried out which showed satisfactory agreement with the experimental results. The criterion makes it possible to determine the peak of the failure envelope in the compression area caused, on the one hand, by an increase in strength under in-plane shear due to transverse compressive stresses and, on the other hand, by a decrease in strength due to destruction of the matrix and the interface between unidirectional layer components.