A magnetic field measurement apparatus includes an irradiation portion, a gas cell, a measurement unit (polarization separation unit, light receiving portion, signal processing circuit), and a magnetic shield. The magnetic shield is formed in a elongated hollow shape having openings at both sides thereof. The gas cell, in which gaseous atoms are sealed, is disposed in a hollow area of the magnetic shield. The irradiation portion irradiates irradiation light including linearly polarized light adjusted so that the vibration direction of an electric field coincides with the axis direction of the magnetic shield onto the gaseous atoms sealed in the gas cell along a direction perpendicular to the axis of the magnetic shield. The measurement unit measures a rotational angle of a polarization plane of the irradiation light that has been irradiated by the irradiation portion and passed through the gaseous atoms.