The method for constructing precast coping for bridge enables for a segment to be match-cast manufactured at the top of a pier body. The method may be applied to small and medium size bridges by introducing transverse tendon force to each segment through tendons after manufacturing a subsegment which is match cast manufactured using sides of a pre-made segment as molding. Further, the method for constructing precast coping for bridge enables to construct precast coping for bridge by easily lifting the coping, which is assembled on the ground, using lifting lugs that are formed on the top of manufacturing segments.