The invention discloses a method for rectangular continuous casting production of low-carbon low-silicon steel. The method includes the procedures of smelting of a converter, LF refining and rectangular blank continuous casting. In the procedure of smelting of the converter, manganese alloying is performed through low-carbon ferromanganese, and the terminal point carbon content of the converter is controlled to be 0.04 or below; in the steel discharging process, aluminum ingots are adopted for deoxidization; in the LF refining procedure, manganese component adjustment is performed through low-carbon ferromanganese, deoxidization is performed through an aluminum-based deoxidization agent, aluminum component adjustment is performed through an aluminum wire, molten steel calcium treatment is performed through a calcium and ferrum wire, and the soft blow time is not shorter than 10 min before leaving; in the rectangular blank continuous casting procedure, an argon-sealed protective sleeve is adopted for a large pack, integrated tundish is adopted for protective casting, a carbon-free covering agent is added in the initial stage of casting of a continuously-cast first pack, and the superheat degree of tundish molten steel is controlled to be 20-40 DEG C. According to the method, by reasonably controlling the aluminum content of molten steel, continuous casting bubble defects are avoided, it is also avoided that castability of high-aluminum-content molten steel is poor, and cost of a deoxidization agent is reduced.