An X-ray machine for imaging a female breast has a support with an attached continuously rotatable gantry. An X-ray tube with an oppositely located X-ray detector is mounted on the gantry. A locating means for accommodating a breast is disposed coaxially with a rotation axis of the gantry. The gantry is adapted to be moved relative to the locating means by an advancing means. In order to achieve a high throughput of patients, a locating means having an opening for accommodating a breast is provided relative to both sides of the gantry. The X-ray machine may be incorporated between two separating walls which have cut-out portions for the locating means.