The invention discloses a vibration curvature variation-based damage positioning method of pull rope body. The vibration curvature variation-based damage positioning method comprises the steps of respectively building finite element models under four working conditions of pull rope zero damage, section damage being 1%, section damage being 5% and section damage being 10%, calculating a pull rope vibration mode under each working condition by a numerical simulation method, and performing comparison according to the calculated power parameter before and after damage and an indirect power parameter of introducing curvature mode and curvature mode changing rate; performing one-time difference on the vibration curvature, representing an abrupt condition of vibration curvature, calculating the vibration curvature variation of the pull rope by testing the vibration mode of the pull rope according to an actual-measurement value of the vibration mode of the pull rope, and judging a damage position of the pull rope body according to abruptness of a variation curve of the vibration curvature. By testing the vibration mode of the pull rope, the vibration curvature variation of the pull rope iscalculated according to the actual-measurement value of the vibration mode of the pull rope, and the damage position of the pull rope body can be judged according to the abruptness of the vibration curve of the vibration curvature.