On the basis of angular spectrum representation, a formalism is established to study the angular shift of a Gaussian beam at the interface associated with negative, near-zero, and ultrahigh-index metamaterials. The difference and relation between beam′s angular shift and traditional Goos-Hnchen shift, Imbert-Fedorov shift are revealed. It is found that the divergence angular shift increases with decrease of the refractive index and loss. Additioanlly, in the interface of negative index media, the angular shift can counteract the negative Goos-Hanchen shift which leads to positive longitudinal divergence angular shift. When the refraction index is close to zero, the transverse divergence angular shift disappears in a large range of incident angle range. The transverse divergence angular shift is unobvious as refraction index is very large. So, metamaterials with close to zero and very large refraction index can be used to avoid the angular dispersion caused by angular shift.