Precise　control　of　a　coupling　effect　is　critical　for　space-limited　communication　system　applications.　Dielectric　metamaterials,　which　derive　their　electromagnetic　properties　from　subwavelength　structures,　have　emerged　as　a　promising　way　to　tune　coupling　effect　due　to　their　complex　resonant　modes.　However,　it　has　not　yet　achieved　quantitative　control　of　coupling　effects　in　metamaterial　designs,　which　is　important　for　advanced　engineering　applications　such　as　artificial　intelligence　antenna　and　reconfigurable　camouflage.　In　this　paper,　all　dielectric　left-handed　metamaterial　operating　in　THz　band　based　on　the　deep　coupling　of　higher　mode　Mie　resonance　is　presented.　Distinguished　from　those　designs　published　before,　this　left-handed　metamaterial　is　composed　only　by　one　same　structure,　not　two　separated　parts　providing　negative　permittivity　and　permeability,　respectively.　By　utilizing　different　Mie　resonant　modes,　negative　permittivity　and　permeability　are　accomplished　via　high　order　Mie　resonant　modes　and　the　coupling　between　cubes.　This　work　opens　a　gate　to　highly　control　of　electromagnetic　wave　in　dielectric　metamaterial　by　using　the　coupling　between　the　unit　cells.