A continuous chemical reactor may include a primary reaction unit and at least one secondary reaction unit. The primary reaction unit has a stirring device and a first temperature regulating device, and a feed inlet provided at an upper portion thereof. The secondary reaction unit is sleeved outside the primary reaction unit, and a reaction chamber is formed therebetween. By adding reaction materials to the primary reaction unit via the feed inlet and adjusting the temperature of the reaction materials by the first temperature regulating device, the reacted materials enter the reaction chamber, and the heat generated in the reaction chamber can be used to adjust the temperature of the materials in the primary reaction unit to more effectively use the heat, and the product after reaction can be discharged from a discharge hole at the lower end of the secondary reaction unit, thereby achieving continuous production.