The equiaxed dendrite evolution during the solidification of a pure material was numerically simulated using the phase field model. The equiaxed dendritic growth in a 2-D square region of undercooled liquid nickel with four fold anisotropy was computed. The phase field model equations have been solved using the explicit finite difference method on an uniform mesh. The formation of various equiaxed dendritic patterns was shown by a series of simulation.