The method for constructing precast coping for bridge of the present invention enables to manufacture a segment match-cast manufactured with the top of a pier body; to 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 to both sides of the pre-made segment; to be rapidly produced; and to retension tendons when the coping is constructed by using a plurality of segments. Further, the method for constructing precast coping for bridge of the present invention enables to manufacture the method for constructing precast coping for bridge, enabling to obtain stability towards lift by easily lifting the coping, assembled on the ground, through lifting lugs by forming lifting lugs on the top upon manufacturing segments.