The major apparatuses used for three-dimensional (3D) bioprinting include extrusion-based, droplet-based, and laser-based bioprinting. Numerous studies have been proposed to fabricate bioactive 3D bone tissues using different bioprinting techniques. In addition to the development of bioinks and assessment of their printability for corresponding bioprinting processes, in vitro and in vivo success of the bioprinted constructs, such as their mechanical properties, cell viability, differentiation capability, immune responses, and osseointegration, have been explored. In this review, several major considerations, challenges, and potential strategies for bone bioprinting have been deliberated, including bioprinting apparatus, biomaterials, structure design of vascularized bone constructs, cell source, differentiation factors, mechanical properties and reinforcement, hypoxic environment, and dynamic culture. In addition, up-to-date progress in bone bioprinting is summarized in detail, which uncovers the immense potential of bioprinting in re-establishing the 3D dynamic microenvironment of the native bone. This review aims to assist the researchers to gain insights into the reconstruction of clinically relevant bone tissues with appropriate mechanical properties and precisely regulated biological behaviors.