The method of generating broad band radially polarized beam and its propagation are researched. The relationship between generation，propagation characteristics and their coherence, i.e. temporal coherence and spatial coherence is analyzed. The propagation of broad band radially polarized beam is numerically simulated. Spatial coherence is changed by the method of modifying the distance of incident beam from xenon lamp. Polarization degree is also examined, and theoretical values agree well with experimental data.