A method of producing a phosphorus-doped silicon single crystal, including pulling the phosphorus-doped silicon single crystal from a silicon melt doped with phosphorus by Magnetic field applied Czochralski (MCZ) method, wherein the phosphorus is doped such that a phosphorus concentration of the phosphorus-doped silicon single crystal is 2×1016 atoms/cm3 or more, and a horizontal magnetic field is applied to the silicon melt with a central magnetic field strength of 2,000 gauss or more such that the phosphorus-doped silicon single crystal to be produced has an oxygen concentration of 1.6×1018 atoms/cm3 (ASTM'79) or more. A method of producing a silicon single crystal that is heavily doped with phosphorus and has an oxygen concentration of 1.6×1018 atoms/cm3 (ASTM'79) or more.