A new method which can generate hollow beams by focusing J0-correlated Schell-model beams with an axicon is proposed. The light intensity distribution of the J0-correlated Schell-model beams after the axicon is simulated with the cross-spectral density function. The results show that the sizes of the hollow beams increase with the increasing propagation distance. The self-reconstruction property of the hollow beam is investigated by the Tracepro software. The correlation experiment is carried out. The results of the experiments are in agreement with those the theoretical analysis and the numerical simulation. This study will be a reference for applications of optical tweezers.