Low coherence, digital holographic microscopy (LCDHM) is a new 3D imaging technique combining the advantages of digital holographic microscopy with those of reduced coherence interferometry. This gives the possibility to perform tomography of 3D objects while maintaining the excellent performances of DHM. A tomographic depth resolution of 11 mum has been achieved as a proof of principle. Images of the epithelial cells of the porcine cornea are presented.