In recent years, various approaches for GH (Goos−Hänchen) displacement control have been proposed, including various waveguide structures, different material interfaces, and other physical phenomena (such as surface plasmon resonance, etc.), which make GH displacement flexible and controllable. Herein, the magneto‐optic GH displacement in quasiperiodic gradient 1D photonic crystals is introduced. The variation of GH displacement by changing the magnetic field for periodic and quasiperiodic structures is shown. The thickness of the initial material is determined by the change of the material thickness, and then the tunable GH displacement is observed under the applied magnetic field. The GH value increases with the thicker gradient thickness but decreases with increase in magnetic field, and it is more sensitive to the magnetic field intensity.