A method for manufacturing a machine component includes determining a track of a cutting edge and feeding the cutting edge along the track. The determining a track includes calculating a coordinate (X(t), Y(t), Z(t)) of a first end portion of the cutting edge in accordance with X(t)=(Rsh(t)cos ϕ(t)−Xchip(t)), Y(t)=(Rsh(t)sin ϕ(t)−Ychip(t)), and Z(t)=(Zsh(t)−Zchip(t)), where a variable t assumes (N+1) values not smaller than 0 and not greater than 1. ϕ(t) represents an angle formed by a straight line connecting a point of cutting projected on an XY plane and an origin of the XY plane to each other with respect to an X axis, and ϕ(t) satisfies a condition tan ⁢ ⁢ ϕ ⁡ ( t ) = tan ⁢ ⁢ β · tan ⁢ ⁢ θ s - tan ⁢ ⁢ θ · tan 2 ⁢ θ + tan 2 ⁢ β - tan 2 ⁢ θ s tan ⁢ ⁢ θ · tan ⁢ ⁢ θ s + tan ⁢ ⁢ β · tan 2 ⁢ θ + tan 2 ⁢ β - tan 2 ⁢ θ s .