A digital x-ray phase contrast soft tissue imaging and mammography system offers significant cancer detection sensitivity and a significant improvement in accurate detection and interpretation of mammograms. In addition, the proposed system produces digital mammograms and thus has the advantages of digital mammography. The system overcomes the limitation of the current approaches to mammography using phase contrast effects and offers substantially higher performance than the current mammography used in hospitals and clinics. The proposed system uses the phase contrast imaging, in a breast and other soft tissue structures, instead of absorption contrast employed in the current x-ray mammography, allowing detection of smaller disease structures with substantial reduction in radiation dose.