Calcium phosphates (CaPs) are ubiquitous in biological structures, such as vertebrate bones and teeth, and have diverse biomedical applications. Shaping CaPs at the nanoscale in 3D can unlock new possibilities in a myriad of research and industrial applications. However, fabricating inorganic materials such as CaPs with designed 3D nanostructures remains a significant challenge. Here, we introduce a novel approach to 3D print CaP structures with unprecedented sub-300 nm resolution, achieving a level of detail three orders of magnitude finer than current state-of-the-art additive manufacturing techniques for CaPs. This advancement is achieved by leveraging a bioinspired chemistry using bone prenucleation clusters, within a photoresist. This technique also enables nanopatterning of CaPs on ceramics and metals, and precise engineering of the microstructure down to the level of a single nanograin. This method will offer new frontiers in developing bioinspired metamaterials, damage-tolerant lightweight materials, cell-modulating interfaces, precision-engineered coatings, and targeted drug delivery nanovehicles.