A shape measurement apparatus includes: a holder for holding a measuring object having a spherical measurement surface; a sensor configured to emit light onto the measurement surface to perform non-contact measurement of a distance between the sensor and the measurement surface and output a measured value; a rotation mechanism for rotating the sensor around a first axis; a sensor movement mechanism for moving the sensor along a second axis orthogonal to the first axis so as to be movable across an intersection of the second axis with the first axis; a holder movement mechanism for moving the holder along a vertical direction and on a plane orthogonal to vertical direction; and a control device configured to: calculate the shape of the measurement surface based on the measured value; calculate a spherical center of the measurement surface; and cause the holder movement mechanism to match the spherical center with the intersection.