Metamaterials have attracted considerable attention and research owing to their unique electromagnetic and optical properties, which cannot be realized in natural materials. Compared with traditional metal-based metamaterials, dielectric metamaterials have both exotic electromagnetic properties and high sensitivity, whose electromagnetic parameters can be tuned by magnetic field, electric field and temperature, etc. Therefore, they attract much attention from the area of materials and information function devices. This paper summarizes the tuning methods of the tunable dielectric metamaterials from three aspects: magnetically tunable, electrically tunable and thermally tunable. Firstly, for magnetically tunable dielectric metamaterials, both the research progress of various magnetically tunable structures based on ferrite and the relevant ferromagnetic resonance principles are introduced. Secondly, for electrically tunable dielectric metamaterials, the research progress of various electrically tunable structures based on graphene, varactor diode and liquid crystal material is introduced. Finally, for the thermally tunable dielectric metamaterials, the metal-insulator phase transition mechanism based on vanadium dioxide is introduced to realize the thermally tunable performance. Additionally, the research progress and physical mechanism of the thermally tunable performance based on Indium antimonide and Strontium titanate materials are introduced. The development trend and potential applications of tunable dielectric metamaterials are prospected.