The invention discloses a construction method of spatial grid structure engineering, and particularly relates to the field of building construction. The construction method comprises the steps that 1, the positioning axis of a grid support, the specification and positions of support anchor bolts, and the position, elevation and levelness of a top plate on a supporting face are checked, unqualified workpieces are removed, and the parts with unmatched flatness and elevation are cushioned to be flat through steel plates; and 2, materials which are qualified after checking are welded, the welded workpiece structures are subjected to a tension test, unqualified workpieces in the tension test are removed, and the workpieces are identified and classified according to the different functions of the workpieces. The construction method of spatial grid structure engineering is regular, the shapes and the sizes of a large numbers of joints and rod pieces are the same, the methods utilized during mounting are the same, production is convenient, the product quality is high, on-site assembling is easy, the construction speed can be increased, the occupied space of a structure is small, the space can be utilized more effectively, and by adopting the mounting method, the space stability of the overall grid system can be greatly improved.