Based on the paraxial vectorial theory of beam propagation in uniaxial anisotropic media,the propagation of annular flat-topped beams orthogonal to the optical axis in uniaxial crystal is studied,and the polarization field of the amplitude expression has been derived.According to the numerical calculation results,propagation properties of the beam have been analyzed.It is shown that the distribution of intensity is greatly affected by anisotropy of crystal when the annular flat-topped beams propagate in uniaxial crystals orthogonal to the optical axis.For the beam in the positive uniaxial crystal in the far-field,with the increase of ne/no,the intensity and spread of the beam in the xy plane decrease.Propagation properties of the beam in negative uniaxial crystal are opposite.With the increasing of ne/no the beam propagation distance z,the central intensity will increase gradually,and the distribution of intensity does not remain the original hollow nature.