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A blue phase liquid crystal grating is proposed by applying a vertical electric field with lateral periodic distribution.Simulation on electric field distribution is also carried out,the results of which suggest the alternation of isotropic and ordinary refractive indices in lateral direction.Through electrode configuration design,both 1D and 2D gratings are demonstrated with high transmittance of ca.85%.Diffraction efficiency of 1st order reached up to 38.7%and 17.8%for 1D and 2D cases respectively.The field induced fast phase modulation permits a rapid switching of diffraction orders down to submillisecond scale.