In a last decade has additive manufacturing passed a long way, where was reached an impressive advance in rapid prototyping technology of fabrication. From plastic and ceramic materials through metals to at the moment most interesting technology of bioprint, where the material which is used for building, directly consist of human tissues. Organ printing, which is based on computer-aided 3D tissue engineering, offers the wide range for research and development in this area. This article summarizes the present advance in this new and not entirely explored field of bio-additive manufacturing. With the help of this technology can be produced the real 3D models of organs and tissues, that should help surgeons in preoperative planning or can be used like spare parts for transplantations. The main emphasis is placed on tissue engineering technology which has the best assumptions to solve transplantation issues. Also this article includes the comparison of devices and materials which are possible to engage within the bio-manufacturing.