The invention relates to low nitrogen, low-aluminum ferrotitanium and a manufacture method and an alloy cored wire thereof. The low nitrogen and low-aluminum ferrotitanium is 70Fe-Ti alloy, comprising the impurity elements such as nitrogen, aluminum, silicon, carbon, phosphorus, and sulfur and so on, the content of nitrogen is less than or equal to 0.08 percent and the content of aluminum is less than or equal to 0.5 percent. The content of titanium is 60 percent to 80 percent, the content of silicon is less than or equal to 0.5 percent, the content of carbon is less than or equal to 0.1 percent, the content of phosphorus is less than or equal to 0.04 percent, and the content of sulfur is less than or equal to 0.03 percent, the rest is ferrum. The manufacture method is as follows: in a common smelting method, the industrial salt is used as slagging constituents during the smelting; the sponge titanium, waste titanium, high quality steel scraps or ferroferrite comprising the impurity elements, such as nitrogen, aluminum, silicon, carbon, phosphorus, and sulfur, etc. with low content are used as alloy raw materials, the raw materials are briquetted before smelting; the smelting is carried out in an argon smelting furnace or a consumable electrode vacuum furnace. The low nitrogen and low-aluminum ferrotitanium used as the alloy raw material is applied in manufacturing the high grade steel such as stainless steel, which requires titanium to be used as stabilization alloy element or alloy strengthening element to obtain good combination property in strength, plasticity, ductility, and inoxidability, etc. and which also requires low content of the impurity elements such as nitrogen, aluminum, silicon, carbon, phosphorus, sulfur, etc.