The tunable and enhanced Goos–Hänchen (GH) shift for TM-polarized reflected beam from the graphene-based hyperbolic metamaterials (GHMM) is theoretically investigated. It is demonstrated that the lateral shift of the reflected beam can be tunable by Fermi energy and thickness of dielectric, and the largest GH shifts can be hundreds of wavelengths due to the enhanced effect by the GHMM. The minimum reflected angle (Brewster angle) moves to larger angle of incidence with the Fermi energy and thickness of dielectric increasing. Numerical simulation results for Gaussian incident beams coincide with the theoretical results from the stationary-phase method. The GH shift from the GHMM, maybe, open a new way for photoelectronic device application in future.<br/> ©2018, Springer-Verlag GmbH Germany, part of Springer Nature.