A special kind of sampled fiber Bragg grating (FBG) was proposed and researched: chirped-sinc-sampled FBG. By chirping the sampling period of sinc-sampled FBG with uniform grating period, both the accurate number of reflective wavelength channels and chromatic dispersion slope compensation can be obtained. By chirping the sampling period of sinc-sampled FBG with chirped grating period, the number of wavelength channels we needed and compensate both the dispersion and dispersion slope can be controlled simultaneously. Meanwhile, nearly identical reflectivity in all wavelength channels is also obtained. By utilizing chirped-sinc-sampled FBG, both the dispersion and dispersion slope can be simultaneously compensated for various transmission fibers.