A shape measuring apparatus for measuring the shape of a measurement target surface includes an interferometer and computer. The interferometer senses interference light formed by measurement light from the measurement target surface and reference light by a photoelectric converter, while changing the light path length of the measurement light or the reference light. The computer Fourier-transforms a first interference signal sensed by the photoelectric converter to obtain a phase distribution and an amplitude distribution, shapes the amplitude distribution, inversely Fourier-transforms the phase distribution and the shaped amplitude distribution to obtain a second interference signal, and determines the shape of the measurement target surface based on the second interference signal.