A multi-view occlusion removal method for digital lensless holographic microscopy (DLHM) is presented. Multiple DLHM holograms, whose individual reconstructions show occluded or partially occluded sample details, are recorded for different sample placements at its plane. A coordinated addition of the multiple DLHM recordings produces a composite hologram whose reconstruction allows the removal of the occlusions for a given imaging plane while increasing the reconstructed field of view. A theoretical model supports the method and its feasibility is tested with phase bio- and non-bio samples.