The dendritic growth processes in the undercooled melt directional solidification of Al-4.5%Cu binary alloy are simulated using the phase-field model,and the solute diffusion equation is solved simultaneously.The dendritic growth and solute profile of the undercooled binary alloy melt were investigated under different undercoolings.The results show that the dendrite growing morphologies of the binary alloys directional solidification can be simulated realistically using the phase-field model.The plane-cell transition and the competitive growth of columnar dendrite and merging process in the directional growth of dendrite are realized.