The invention discloses a slurry injection type shaft sinking construction method of a seepage well of a mine. During construction, by use of seepage well principle, water of a target water containinglayer is drained to a to-be-injected water containing layer under the well. A water drainage and pressure releasing driller of an underground roadway or a kilometer directional driller is used for carrying out water drainage and pressure releasing on the water containing layer around a shaft, so a water drainage funnel is formed, an annular water interception well is formed and the shaft is capable of using a common borehole blasting method to carry out dry well operation. After the water containing layer is constructed by the well cylinder, a slurry injection pipe in the seepage well is usedfor carrying out slurry injection blocking on the seepage well and the surrounding rock. According to the invention, water inflow quantity can be reduced by use of a shaft sinking method where construction is performed by use a common method. The provided construction method is suitable for construction of quite big shafts where the water inflow in the later period of the mine.