To improve dispersion compensation capabilities of chirped long-period fiber grating (LPFG) for fiber communication, the method using thin-clad chirped LPFG is proposed. At first, we analyze how to determine parameters of chirped LPFG according to the transmission signal, such as chirp coefficient and grating length. Then, to compensate dispersion of a signal with bandwidth of 0.2 nm and center wavelength of 1550 nm, the thin-clad chirped LPFG with appropriate parameters is designed. Based on coupled-mode theory and transfer matrix, numerical results show that about 1 m of such thin-clad chirped LPFG can compensate 46 km fiber’s dispersion. Further, the influence of apodizing function, chirp coefficient and cross-coupling coefficient on the dispersion of thin-clad chirped LPFG is also analyzed.