The invention discloses a multipoint hoisting stress equalizing device and relates to the field of bridge hoisting. The multipoint hoisting stress equalizing device comprises an equalizing mechanism, a hoisting point device and a winch set. The equalizing mechanism comprises a middle girder equalizing beam and side girder equalizing beams located at the two sides of the middle girder equalizing beam. The two ends of the middle girder equalizing beam are provided with middle girder pulley blocks. Movable pulleys of the middle girder pulley blocks are connected with the middle girder equalizing beam. The side girder equalizing beams are provided with side girder pulley blocks. Movable pulleys of the side girder pulley blocks are connected with the corresponding side girder equalizing beams. The number of the movable pulleys connected with the middle girder equalizing beam is equal to the number of the movable pulleys connected with each side girder equalizing beam. The hoisting point device comprises a middle girder hoisting point and side girder hoisting points located at the two sides of the middle girder hoisting point. The middle girder hoisting point is connected with the middle girder equalizing beam. The side girder hoisting points are connected with the corresponding side girder equalizing beams. The winch set comprises first winches and second winches. The corresponding first winch, the middle girder pulley block and the side girder pulley block located at one side of the middle girder hoisting point, and the corresponding second winch are connected through a rope in sequence. The multipoint hoisting stress equalizing device is simple in structure, low in cost and capable of ensuring complete uniformity of multipoint stress.