Abstract: The maximal dynamic response in the hoisting process of the bridge crane occurs at the two moments of lift-off and braking during full speed descent process. The two dynamic processes were researched detailedly, included the influence factors analysis, the dynamics and mathematics model establishment, etc. Then the maximal dynamic response in the hoisting process of one bridge crane was calculated in MATLAB integrated devolopment enviroment, the result could be the warrant of the hoisting tool selection and design.