In this paper, we consider the first initial boundary value problem for a non-autonomous semilinear degenerate parabolic equation involving the Grushin operator, in which the nonlinearity satisfies the polynomial condition of arbitrary order and the external force is normal. Using the asymptotic a priori estimate method, we prove the existence of uniform attractors for this problem. The obtained results, in particular, improve some recent ones for the non-autonomous Laplacian equation.