Based on the Richards-Wolf vectorial diffraction theory, the electric and magnetic field components of the focused vortex beams with different states of polarization are derived. The chiral density and superchiral factor are introduced. The effects of the waist radius, polarization state, and topological charge on the local chirality of tightly focused vortex beams are numerically simulated. The numerical results show that the chirality is remarkable when the waist radius of the beam is equal to the focal length of the high numerical aperture lens. The topological charge has a significant effect on the local chirality of tightly focused vortex beams. The radially polarized focused vortex beam has more obvious effect on the local chiral enhancement.