The spectral characteristics of chirped long-period fiber grating are analyzed with the transfer matrix method based on the coupling theory.The influences of various chirp coefficients and structural features on the filtering characteristics are studied numerically.When the chirp coefficient varies between -0.00008 nm/cm and 0.004 nm/cm,it can be used for broadband rejection filters.While the chirp coefficient varies between -0.05 nm/cm and -1 nm/cm,it can be used for narrow-band rejection filters.The results provide theoretical basis for optimal design of Chirped fiber grating filters.