According to an embodiment, an X-ray computed tomography apparatus includes processing circuitry. The processing circuitry is configured to acquire first projection data that is based on a first spectrum representing an amount of radioactive rays in a unit of energy of the radioactive rays having passed through a subject and detected by a detector. The processing circuitry is configured to generate second projection data by correcting the first projection data based on a response characteristic of the detector. The processing circuitry is configured to operate reconstruction process to the second projection data.