The invention discloses a super long-span steel truss continuous girder bridge with initial curvature, characterized by, comprises a plurality of piers (8) and a lifting unit for prefabricating each beam section in the factory, comprises an integral hoisting unit (1) with a large side span section, The first main span large segment hoisting unit (2), the second main span large segment hoisting unit (3) and the pier top small segment integral hoisting unit (4) are connected with the beam segments hoisting units which have the initial curvature under the action of the dead weight. In order to ensure the smoothness of the alignment of the bridge when in use, the pre-camber of each beam segment is set in the factory to offset the initial curvature. The negative bending moment of the pier top under dead load is greatly reduced, and the internal force of part of the pier top structure is transferred to the middle section of the span, so that the whole bridge structure is uniformly subjectedto the force. The invention also discloses a construction method of a super long-span steel truss continuous girder bridge with initial curvature, wherein the construction process is adjusted to the internal force of the bridge structure, the mechanical performance of the section is fully brought into play, and the economic performance of the steel truss continuous girder bridge is improved.