The invention discloses a preparation method for lithium bis(fluorosulfonyl)imide. The preparation method comprises the following steps: 1) preparing fluorine sulfamide lithium; 2) preparing sulfuryl fluoride, and pumping the sulfuryl fluoride into the fluorine sulfamide lithium solution, and adding an acid-binding agent to prepare bifluorine sulfimide ammonium salt; 3) dissolving the bifluorine sulfimide ammonium salt in water solution, to obtain bifluorine sulfimide water solution through the acid resin exchange; 4) adding lithium carbonate, regulating the PH value to be neutral, filtering and removing undissolved substances, depressurizing and removing the most of the water, and adding a weak-polarity organic solvent to separate out a coarse product of the lithium bis(fluorosulfonyl)imide, further depressurizing and drying; and 5) adding a polarity solvent to the coarse product of the lithium bis(fluorosulfonyl)imide, stirring and dissolving, filtering and removing the undissolved substances, depressurizing and removing a strong-polarity solvent, and adding the weak-polarity organic solvent to perform the recrystallization, and depressurizing and drying to obtain a product after filtering. The preparation method is simple, the reaction time is short, the yield is high, and metal ion and negative ion impurities can be effectively controlled, so that the product with the high purity can be obtained.