An apparatus (1) for performing tomosynthesis and mammography of a breast (M) of a patient, comprises: an X-ray detector device (2), designed to receive and detect X-rays in a first, detection plane (3) a plurality of X-ray sources (4), stably positioned in a second plane (5) which is substantially at a right angle to the first, detection plane (3) in a plurality of predetermined positions (P1, P2, P3, P4, P5) relative to the detector device (2), each of the sources (4) being individually activatable for emitting a corresponding X-ray beam (F) towards the first, detection plane (3) a region (R2) for positioning the breast (M) a processing and control unit (6), connected to the X-ray sources (4) for activating them individually and connected to the detector device (2) for receiving a signal (s1) relating to the X-rays which passed through the breast (M) and were detected by the detector device (2), the unit (6) being designed to derive from the signal (s1) at least one radiographic image representative of the internal structure of the patients breast (M).