The Mathieu beam produced by partially coherent light was studied theoretically and experimentally, based on Fresnel diffraction theory and Fourier transform. The intensity expression of the Mathieu beam was derived with sampling theory and dispersion formula. The section intensity distribution of the Mathieu beam at different propagation distances was simulated. And the experiment was designed to verify the simulation results. We would choose multiwavelength blue LED as the light source in the the experiment. The Mathieu beam would be obtained using a axicon and a film with an elliptical aperture. Both simulated and experimental results show that partially coherent light can produce Mathieu beams. The results provide a theory evidence for extending the application range of Mathieu beam.