The invention discloses a prestressed continuous box-girder cantilever construction basket comprising a main truss. A travelling system is connected to the bottom of the main truss through an anchorage system. A suspension system is hung to the travelling system. A bottom basket is connected below the suspension system. The suspension system is provided with forms. The travelling system can drive the suspension system to move on the main truss. The prestressed continuous box-girder cantilever construction basket has the advantages that structure is simple, operation is facilitated and manufacture cost of equipment is low.