The invention provides a curbstone mounting construction method. According to the invention, first the curbstones are mounted with a double-line control method, curbstone backs are manufactured with a gantry-supported construction process, and then asphalt is paved. With the double-line control method, mounting speed is accelerated, adjustment is reduced, and curbstone straightness and appearance quality are improved. With the gantry-supported construction process, mounting speeds of the curbstone backs and concrete templates are accelerated, labor investment is greatly reduced, construction quality is improved, basic guarantee is provided for subsequent asphalt concrete construction, and pavement flatness is ensured. Good effects such as good pavement appearance, straight line, and comfortable driving are achieved. compared with prior art, construction control work load of steps such as measuring, checking, testing, and the like are reduced; working efficiency is improved; construction duration is shortened; and good social and economic benefits are provided. The method has wide application space in municipal project curbstone mounting projects, and has popularization value.