The invention discloses a construction method of large-tonnage box girder ortho position girder lifting onto bridge and an erecting method of large-tonnage box girder ortho position girder lifting onto bridge. The construction method of large-tonnage box girder ortho position girder lifting onto bridge includes the steps that a plurality of bridge piles are reserved on a bridge girder line and notconstructed, a lifting station and a girder lifting pedestal are constructed on the reserved bridge piles, and hoister traveling tracks are constructed on the two sides of the bridge piles in the longitudinal direction of the central lines of the bridge piles, and hoisters are mounted on the two sides of the bridge piles in the longitudinal direction of the central lines of the bridge piles; a to-be-erected box girder is transported to the girder lifting pedestal to be stored; the hoisters travel above the lift lifting pedestal, and lift the to-be-erected box girder to the height of a bridgefloor; and the hoisters are longitudinally moved to the to-be-erected bridge span position, and the to-be-erected box girder is erected. The erecting method further includes the steps that a girder transporting vehicle is matched with a bridge erection machine, and thus erection of the box girder is completed; transporting and erection equipment is lifted by the hoisters off the bridge and headedback under the bridge; the steps are repeatedly carried out, and erection of all box girders in the other direction is completed; remained to-be-erected box girders are lifted onto the bridge throughthe hoisters, and the lifting station and bridge piles in the range of equipment onto bridge are constructed; and the remained to-be-erected box girders are directly erected by the hoisters to the to-be-erected bridge span positions.