The invention discloses a double-ball nested net rack construction method, and solves the technical problem that in the prior art, a double-ball nested net rack is complex in construction and difficult in guaranteeing mounting accuracy. The double-ball nested net rack construction method disclosed by the invention comprises the steps of: setting measurement control points; measuring and paying offconstruction control wires for mounting single chips; assembling external net ball ring single chips and internal net ball ring single chips above a bed jig; arranging internal ball lattice columns and external ball lattice columns, and arranging common lattice columns; carrying out layered, partitioned and fragmented splicing on the external net ball ring single chips and the internal net ball ring single chips; and carrying out replenishment on the external net ball ring single chips and the internal net ball ring single chips in layers and between layers. According to the invention, a layered, partitioned and fragmented splicing mode is adopted, and symmetrical synchronous splicing and replenishing type splicing are combined, so that not only is double-ball nested net rack constructionrapidly, conveniently and reliably implemented, but also high mounting accuracy is ensured.