Tissue Engineering (TE) applications are focused on the design and fabrication of computer-aided artificial bone scaffolds with developing Additive Manufacturing (AM) technologies. Three-dimensional (3D) bone scaffold is designed with Computer-Aided Design (CAD) software, it is controlled pore size, and porosity ratio and a systematic production process are followed. In this study, artificial bone scaffold design and manufacturing technologies developed with AM technology have been discussed. The first part of the study is the applications materialized through different design methods such as CAD-based design, image-based design, implicit surface design, Topology Optimization (TO), and space-filling curves, which are used in computer-aided artificial bone scaffold design. Secondly, working principles of various AM technologies such as material extrusion and vat photopolymerization, powder bed fusion, material jetting, and direct writing and advantages and limitations of implementing these technologies in TE are also evaluated. Finally, possible future areas of use of the AM technologies in TE are discussed.