The invention discloses a method of continuously producing sodium fluoride. The method comprises the following steps of: sequentially adding a sodium fluosilicate solution with mass fraction being 20-30% and a soda pollution with mass fraction being 20-30% into a tubular type reactor, controlling a reaction temperature to 60-100 DEG C, performing double decomposition reaction to generate sodium fluoride and silicon dioxide slurry, continuously introducing sodium fluoride and silicon dioxide slurry into a multi-stage floatator to perform flotation, thereby obtaining slurry containing sodium fluoride and slurry containing silicon dioxide after floating, and separately performing centrifuging, washing and drying, thereby obtaining a sodium fluoride product and a silicon dioxide product, wherein solutions obtained by centrifuging per time are combined for being recycled as a mother solution. According to the method disclosed by the invention, soda is excessively added in a reaction process, so that sodium fluosilicate sufficiently reacts, and therefore, a conversion rate is 100%. Purity of sodium fluoride produced by the method disclosed by the invention is higher than 98.5%, and purity of silicon dioxide is higher than 98.0%. According to the method disclosed by the invention, production scale investment is less, automatic control can be realized, labor intensity of staff is relieved, product quality is excellent and raw material consumption is low.