This invention is to allow accurate high-speed coincidence detection while preventing any increase in circuit scale. To achieve this object, a coincidence detection apparatus includes a detector which outputs at least two periodical signals in accordance with the displacement of an object, a digital interpolator which processes the periodical signal output from the detector at a predetermined time interval to generate a displacement or angle at a period shorter than the period of the periodical signal, a pulse generation unit which generates a constant frequency pulse signal, a counter which counts the pulse signal output from the pulse generation unit, and a pulse conversion unit which calculates a value to be set in the counter from the difference between displacement information corresponding to the target position of the object and the output from the digital interpolator.