An incoherent source non-diffraction beam imaging system was designed under incoherent source by using the axicon. The formula of the resolution of the imaging system was derived based on the the diffraction integral theory and the point spread function of the system. The optical software was used to simulate the initial structure model of the non-diffraction beam imaging system. With a blue light LED as the light source, combining with the optical components such as the striped object, lens and axicon, the experimental verification was conducted. According to the experimental results, the incoherent source non-diffraction Bessel beam imaging system can enhance the image resolution by applying the non-diffraction beam properties, which is consistent with theoretical derivation.