The invention discloses an installation method of a curved steel latticed shell structure with a gradually varied gable starting span. The installation method comprises the following steps of a, construction preparation; b, splicing block by block and segment by segment; and c, installing a purline system and a roof panel structure. Connection between a steel wire rope and a ball joint is achievedthrough a steel wire rope pulling device, the pulling stability of the steel wire rope is guaranteed, the steel wire rope is prevented from sliding, the perpendicularity of a vertical gable structureis guaranteed, and damage to a rod piece of the latticed shell structure in the steel wire rope pulling process is avoided; and meanwhile, temporary fixing devices are used for supporting the ball joints on the inner sides of the gable latticed shell units, the construction safety performance is improved, and the temporary fixing devices can eliminate the influence of site flatness errors on themounting precision, mounting construction between the ball joints and the temporary fixing devices is better facilitated, construction operation is convenient, field construction is flexible and convenient, precision errors are easy to adjust, construction efficiency is high, installation quality is guaranteed, potential safety hazards of aloft work are reduced, and construction cost is reduced.