The invention discloses an installation method of prestressed concrete stiffened box girder for an earth-anchored suspension bridge, relating to an installation method of stiffened box girder for suspension bridge. The installation procedure is that: symmetrically pushing from the segment at mid-span to the main towers at the two sides or pushing from the segment near the main towers to the mid-span and the abutments, the steps are that: the concrete structure stiffened box girder is erected by hoisting, lifting or oscillating-shifting method, the erection of the concrete structure stiffened box girder comprises the pre-assembly of the stiffened girder, the installation of cable clamp and suspender cable, the slung load of catwalks, carrying the stiffened girder to the construction site, the girder erection crane at the position, hoisting, floating and positioning, moving the stiffened girder to the hoisting point and raising perpendicularly, connecting with the segment by drawing off, after the stiffened girder in position, adjusting the alignment of the beam segment, completing the temporary connecting installation between the beam segments, penetrating the longitudinal prestressed steel strands, loading the top surface of the beam blocks, wet connection between the segments, incrementally launching the cable saddle on the top of the tower, locking the cable saddle. The installation method of prestressed concrete stiffened box girder for an earth-anchored suspension bridge has the advantages of ensuring the installation precision and good alignment of the bridge.