Based on Richards-Wolf vectorial diffraction integral, the focusing properties of elliptically polarized vortex beams through a high-numerical aperture objective is studied in this paper. The intensity, phase and orbital angular momentum distribution properties of tightly focused vortex beams are presented. The influence of corresponding parameters on the tight focusing properties is also investigated. It is shown that elliptical light spots of great application can be obtained near the focus. Moreover the elliptical spot may rotate and the size and shape of the spot may change with the change of certain parameters. It is also found that the spin angular momentum of the elliptically polarized vortex beam will convert to orbital angular momentum by the tight focusing. These properties are quite important for the applications of this kind of elliptically polarized vortex beams.