A numerical controller capable of moving a tool end point position to an accurate position in a five-axis machining apparatus. Compensation amounts are set, which correspond to respective ones of a linear axis-dependent translational error, a rotary axis-dependent translational error, a linear axis-dependent rotational error, and a rotary axis-dependent rotational error, which are produced in the five-axis machining apparatus. A translational/rotational compensation amount Δ3D is determined from these compensation amounts and added to a command linear axis position Pm. As the compensation amounts, there is used a corresponding one of six-dimensional lattice point compensation vectors, which are determined in advance as errors due to the use of a mechanical system and measured at lattice points of lattices into which the entire machine movable region is divided.