The focusing properties of elliptically polarized vortex beams through a high numerical-aperture objective with primary spherical aberration are studied. Based on vectorical Debye theory, the complex amplitude distribution of elliptically polarized Bessel-Gaussian beams through a high numerical-aperture objective with primary spherical aberration is derived. Numerical calculation is performed to analyze intensity distribution and phase distribution of the right-handed elliptically (RE) polarized beam and the left-handed elliptically (LE) polarized beam with different primary spherical aberration coefficients. It is shown that the intensity distribution of the vortex beams decreases with the spherical aberration coefficient, but the size of dark core increases. Additionally, the phase distribution of longitudinal component of RE polarized beam presents the spiral structure and the radii of the dislocation lines for RE polarized beam and LE polarized beam increase gradually with the primary spherical aberration coefficient. With the increment of spherical aberration coefficient, the converging point gradually deviates from the focal plane and the longitudinal field changes.