Numerical simulation of pulsed magn etic flux density and L orentz force i n the solidifying sample inside a str aight solenoid coil during the solidification under tra nsient pulsed magnetic field was stu died using ANS YS5.5software.The simulation showed that both the axial and radial distribut ions of th e pulsed magnetic flux density and th e Lorentz force,during the sol idifi cation under pulsed magnetic field,were not only asymmetrical but also n onuniform.The simulation method is generally useful for studying solid ificatio n behaviors and structures during solidification under transient pulsed magnetic field.