The multipass amplification characters of the chirped pulse in gain medium were studied with the Schrdinger equation and population equation. The inverse problem of multipass amplification of the chirped pulse was studied and simulated by means of the Split-step Fourier and iteration methods, to find the profile of the input pulse from the given output pulse and multipass amplification parameters. The results are useful for the multipass amplification and design of the pulse shaping of the chirped pulse.