A bioassembly system having a tissue/object modeling software component fully and seamlessly integrated with a robotic bioassembly workstation component for the computer-assisted design, fabrication and assembly of biological and non-biological constructs. The robotic bioassembly workstation includes a six-axis robot providing the capability for oblique-angle printing, printing by non-sequential planar layering, and printing on print substrates having variable surface topographies, enabling fabrication of more complex bio-constructs including tissues, organs and vascular trees.