The invention particularly relates to an erecting method of fair-faced concrete sheet wall arc formwork. The erecting method is characterized by comprising the following steps that 1, segmenting is conducted according to a drawing; 2, a full-automatic carving machine is used for machining and manufacturing a back ridge of a special-shaped formwork; 3 the arc-shaped back ridges are assembled; 4, a bottom formwork is laid along the back edge of a beam bottom arc section formwork through a nail gun; and 5, a main keel is placed in a disc buckle frame tray to be supported, the top of a steel channel makes contact with the protruding portion of the arc-shaped back ridge, force on the upper portion of the back ridge is transmitted to a supporting frame, meanwhile, the two sides of a column are locked through high-strength national standard bolts with the diameter being 16 mm, and inclined supporting rod pieces on the left side and the right side of a disc buckle frame are added. According to the erecting method, construction of the arc-shaped bottom of the fair-faced concrete sheet wall can be conveniently carried out, compared with other measures, the erecting method is simple, convenient and economical, the full-automatic formwork carving machine can better find out the elevation of a arc-shaped ground beam, and the erecting method is more accurate than common measurement and positioning.