In this work, an all-fiber high-speed and high-resolution dispersion measurement approach for chirped fiber Bragg gratings (CFBGs) is proposed and demonstrated. Dispersion information (1-4 order) of CFBGs that with different dispersion are determined experimentally, which agree well with the theoretical results. The measurement speed, accuracy, and repeatability are also studied and discussed. Compared with the well-developed techniques, the proposed new method is not only time-saving but with higher accuracy and repeatability. The method and results of high-order dispersion information of CFBGs are reported for the first time to our best knowledge, which will greatly benefit the fiber chirped pulse amplifier (CPA) and ultrafast laser techniques.