We propose a scheme for quantum simulation of quantum link models in two-dimensional lattices. Our approach considers a spinor dipole gas on a suitably shaped lattice. Here, the dynamics of various hyperfine-level particles in the gas occur in one-dimensional chains bound by dipole interactions. Indicates that at least four levels are required. The current scheme does not require any specific fine-tuning of the parameters. We present the derivation of the parameters of the quantum link model using the perturbation method. We discuss a comparison of $(2+1)$-dimensional quantum link models with other schemes that exist in the literature. Finally, an extension to three-dimensional lattices is presented and its subtleties are pointed out.