The present invention discloses a monolithic prefabricated construction method of post-tensioned prestressed concrete box grider, which mainly comprises the following steps: moulding board, reinforcing steel bar and embedded part installation, grider concrete packing, grider concrete steaming or natural maintenance, moulding removal, tension, and postorder construction, etc, wherein, the reinforcing steel bar adopts the technologies of centralized prewing, and overall hoisting, and the tension step adopts three tension techniques of pretension, first tension and final tension; the internal die adopts a hydraulic internal die system, and the grider concrete packing step adopts the construction proposal of concrete centralized mixing, and pipeline pumping pouring, which adopts a decentralized and continuous process, and pours gradually from two ends to the middle so as to realize one-though moulding. The construction method of the present invention is suitable for monolithic prefabricated construction of prestressed concrete box grider with 32m / 900t big span and large tonnage in the special railway line for passenger transport.