Negative refraction in two-dimensional photonic crystal with ring-shaped holes is studied by the plane wave expansion method and the finite difference time domain method. The band structure and the equifrequency contours of the two-dimensional photonic crystal with ring-shaped holes in triangular lattices are caculated. Based on the analysis of the band structure, the equifrequency contours the relationship between the normalized frequencies and the effective refraction indices are given. Negative refraction in planar slab and wedge structure with the effective refraction index n=-1 is simulated by the finite difference time domain method. The results show that it′s easier to realize negative refraction in photonic crystal with ring-shaped holes, and the parameters of the structure are tolerant. A lot of time can be saved during the fabrication processes by the X-ray lithography.