The invention relates to an accumulative sliding installation structure of a grid roof. The accumulative sliding installation structure is characterized in that an assembly platform is built between two axes of the middle of the grid roof through a full hall scaffold, and upper bearing plates, jacking screws and lower connecting bolts are arranged at the joints of a platform steel plate and scaffold steel tubes; a sliding track comprises a support sliding track body and a middle sliding track body which are arranged at the tops of a frame column and a frame beam respectively, and an oblique supporting rod is arranged between the frame beam and the frame column on the lower side of the sliding track; after grid assembly sections are assembled on the assembly platform, the grid assembly sections are synchronously pushed to a designed position through a pushing device, and the expansion and contraction quantity of a hydraulic cylinder is controlled through a displacement sensor in the pushing process; after the grid assembly sections are jacked through a jack, a lower chord ball connecting body and damping supports are installed. By means of the structure, the grid roof sliding difficulty can be lowered, the construction efficiency can be improved, and the construction safety can be improved. The invention further discloses a construction method of the accumulative sliding installation structure of the grid roof.