Vafaei-Makhsoos claimed to have discovered three new Ni3P phases in crystallized Ni-P amorphous alloy. By analysis of his experimental data as well as our own electron diffraction experiments, it is shown that the various electron diffraction patterns of the so-called new Ni3P phases are in fact all belonging to Ni12P5. Thus it is clear that there are seven crystallization phases in annealed amorphous Ni-P alloys: metastable fcc phase α (α=5.48?), metastable hexagonal polytypes α1,α2,α3 transformed from α, bct Ni12P5, bct Ni3P and Ni solid solution.