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Based on micromechanical characters of Z-pinned composite laminate, a finite element model is established to predict progressive failure properties of Z-pinned composite laminate under tension loading. For Z-pinned composite laminates, four failure modes: matrix cracking, matrix compressive failure, fibre breakage and fibre kinking are included in the present model. The calculated failure strength is compared with those obtained from experiments and other model. Failure mode pictures and stress-strain curves under tension load are obtained. The results indicate fibre breakage due to the matrix cracking is the main failure mode in Z-pinned carbon/epoxy composites under tension.