As a transmission type filter, chirped phase-shifted fiber grating has the advantage of low cost, which makes it a critical component in optical communication and sensor system. Reflective spectrum of chirped phase-shifted fiber grating is analyzed about the influence of phase shift and position on reflection characteristic by the transfer matrix method combined with resonance theory. Different characteristics from uniform phase-shifted fiber gratings are obtained: the transmission window is away from the center of the reflective spectrum and becomes shallow when the phase shift in the center of the grating is unequal to π/2; the transmission window varies with the location of the π/2-phase shift, but all the transmission windows are of the same depth. Numerical predictions agree well with the experimental results. Multiple phase shifts can be used to open several transmission windows with the same depth which makes chirped phase-shifted gratings have a good application prospect in multi-channel filter and dispersion compensator.