A numerical control apparatus for controlling a tool attached to a column of a machine tool includes a compensation data setting unit that sets, as selection input, a linear drive axis combination of the column, a tilt direction of the column, and a perpendicularity error of the column, and a compensation amount calculation unit that generates a tool vector from a tool length as a distance in an axial direction from a tool attachment position to a tool tip end and a tool diameter as a distance in a direction perpendicular to the axial direction from the tool attachment position to the tool tip end to calculate a position compensation amount of the tool tip end as a machining point in an execution program from the linear drive axis combination of the column, the tilt direction of the column, and the perpendicularity error of the column set by the compensation data setting unit and the tool vector.