The light field expressions of cylindrically polarized Bessel-Gaussian (CPBG) beams focused by a high numerical-aperture lens are derived using Richards-Wolf vectorial diffraction method. Numerical calculations are taken to analyze the influences of varying values of the parameters on the light intensity distribution at the focal plane and in the vicinity of focus. The research results show that both the intensity at the focal plane and its profile shape depend on the values of parameter β corresponding to Bessel function, polarization rotation angle φ0, beam waist width w0 and the maximal angle α determined by the numerical-aperture. By adjusting the values of corresponding parameters, the bottle beams and the flat-topped beams which possess the characteristics of vortex are obtained and will have many significant applications.