A review of the mechanical properties and failure initiation and propagation in carbon/epoxy composites is presented. The results of the study of the macromechanical static characteristics, non-linear elastic behavior flexural modulus and shear properties of unidirectional composites (UDC), as well as, of tensile, compression and flexural moduli, strength analysis edge and hybrid effects in multidirectional composites (MDC) were discussed A discussion of the non-linear elastic behavior of carbon/epoxy UDC, the flexural moduli of both UDC and MDC, strength analysis and edge effects of laminates is emphasized.