Abstract: A second order two-grid algorithm for Allen-Cahn equation is developed by using the nonconforming EQ₁^rot finite element. Based on the special properties of this element, the derivative transfer technique and the interpolated postprocessing approach, the superclose and superconvergence results of order O(h²+H⁴+τ²) in the broken H¹-norm are deduced. A numerical example is given to verify the theoretical predictions and to show the efficiency of the proposed method. Here, h, H and τ represent the mesh size of fine grid, mesh size of coarse grid and time step size, respectively.