The intensity distribution and polarization characteristics of the radially polarized high-order Bessel-Gaussian vortex beams propagating in free space were studied theoretically and experimentally. Through numerical calculation, with transmission distance increasing, the intensity distribution remains unchanged in the diffraction free area. For a zero order beam, the polarization state remains the same. But for a higher order light beam, the polarization state changes, and the initial radial polarization gradually changes into the hybrid polarization state including elliptical polarization and linear polarization. In the experiment, a radially polarized high-order Bessel -Gaussian vortex beam is produced by using the radial polarization converter, vortex phase plate and axicon element. The light intensity distributions of the beams passing through different polarizers are detected. By comparing the experimental results with the theoretical results, it is found that they are basically consistent. The study also provides a method to produce the hybrid polarized vector beams.