Based on the principle of dispersion compensation with linearly chirped fibre Bragg grating (LCFBG)，the different capability of LCFBG varying the quasi-Gauss head coupling profile was analysed. A design is presental which can make the LCFBG provide both strong ability of dispersion equalization and smoothed broad bandwidth GVD curve with depressed sidelobes. The influence of relative parameter to the GVD curve is discussed.