Based on Gaussian-Schell model and method of the cross spectral density, the optical intensity formula of partially coherent Bessel beam passing through an annular aperture was derived theoretically. Mathcad software numerically was used to simulate the optical intensity formula, and the cross-sectional light spot diagrams of different propagation distance were derived. The results show that partially coherent Bessel beam passing through an annular aperture can generate a hollow beam. In experiment, green LED was used as the light source to obtain partially coherent Bessel beam focused by axicon, and an annular aperture was placed in its non-diffraction distance. The diffraction light spot diagram of partially coherent Bessel beam passing through the annular aperture was shot by a stereo microscope camera system, and the results agree with the simulation results.