The invention belongs to the technical field of steel structure buildings and particularly relates to a partitioning accumulation lifting construction method of a space grid structure with the free-form surface. According to the appearance characteristic and height of the space grid structure with the free-form surface and arrangement of a civil construction structure on the lower portion of the space grid structure with the free-form surface, the space grid structure with the free-form surface is divided into the multiple sub-blocks, the lifting order is determined according to the elevationof the closure opening position of the sub-blocks during splicing on the ground, and then the sub-blocks are lifted to the designed elevation in stepwise and accumulating modes; and finally step-by-step unloading of the structure is achieved by reducing the oil pressure of a lifter. The construction method is novel in conception, a large number of supporting jig frames and large hoisting machinescan be saved, and the positioning precision and welding quality of rod pieces in the space grid structure with the free-form surface are improved; and in addition, the assembly height is reduced so that the construction progress can be accelerated greatly, the construction period is shortened, and the safety of high-attitude work is guaranteed effectively.