Theoretical models of three types (two-pass Z-type, X-type and diamond-type) of laser pulse compressors containing grating mosaics are developed. The corresponding grating mosaic error tolerances are calculated and analyzed with a simulation method adopting ray-tracing phase analysis and Fourier transform. The mosaic error tolerances corresponding to 0.9 of ideal far-field intensity maximum (Strehl ratio equivalent to 0.9) in the case of three types of compressor are determined. The simulation shows different sensitivities of respective compressor configurations to grating mosaic errors,which can help to select the configuration and the design parameters of laser pulse compressor.