The invention discloses a construction method for dismantling a truss-type composite arch bridge. The construction steps of this construction method are divided into three major parts: first, remove the bridge deck system, second, install the slings, and third, remove from the mid-span to the sides of the two arches in turn, first remove the side box of the solid web section, Then, remove the upper chord saddlebags, the oblique web rod, and the lower chord saddlebags of the fourth section, the third section, the second section, and the first section in sequence. In the construction method, the arch ring of the old bridge is lifted and supported by means of the CFST arch structure of the new bridge, the axial force of the arch structure is slowly released by setting a jack during the opening of the arch, and the side box is clamped by a vertical limit device. This ensures that the old bridge is stably converted from an independent system to two separate cantilever systems, which ensures the smooth demolition of the bridge.