By using the expansion of the aperture function into a finite sum of complex Gaussian functions,the corresponding analytical expressions of off-axial Hermite-Cosine-Gaussian beams passing through apertured paraxially and symmetrically optical systems written in terms of ABCD matrix were derived,and they could reduce to the cases without aperture.In a similar way,the corresponding analytical expressions of off-axial Cosine-Gaussian beams through apertured ABCD matrix were also given.The method could save more calculation time than that by using the diffraction integral formula directly and the obtained results could be directly extended to the two-dimensional cases.