Based on the finite element method and transmission-matrix method, the reflection spectrum of the grapefruit-type photonic crystal fiber chirped grating is analyzed theoretically. The influences of the fiber grating parameters and fiber structural parameters on the reflection spectrum characteristics of the photonic crystal fiber chirped grating are analyzed. The results show that with the increase of the chirp coefficient and refractive indexes modulation, the reflection spectrum changes regularly. When the chirp coefficient increases to a certain extent, the several reflection peaks can be connected together to form a large reflection band. The spacing between the reflection peaks can be changed by the inner-cladding diameter and the core diameter of the photonic crystal fiber. At the same time, the influence of apodization on reflection spectrum of the photonic crystal fiber chirped grating is discussed. Studies show that the apodization function can apodize several peaks and the apodization effect of each peak is very good. For fiber grating with several peaks connected, the wave of its reflection spectrum is large. But through the Cauchy apodization, the reflection spectrum curve is smooth, which is suitable for practical applications.