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The demagnetization process for a Nd2Fe14B grain covered by an α-Fe layer was studied by use of the finite element technique of micromagnetics, μ0 iHc decreases with the increase of α-Fe layer thickness t. With the increase of t from 0 to 6nm, po iHc decreases from ～7 T to ～3.5 T when the angle between the applied field and the c-axis of the Nd2Fe14B grain is 0.5° and from ～4 T to ～1.5 T when the angle is 30° or 60°. The effect is only slightly affected by the angle between the α-Fe layer and the field direction.