TbPO₄, DyPO₄, and HoPO₄ crystallize in space group [4₁/amd (No. 141), zircon structure, Z=4. The crystal structures have been determined from automated three-dimensional single crystal X-ray diffraction analyses. Least-squares full matrix refinements yielded final weighted R-values equal to 00.035, 0.037, and 0.036, respectively. The lanthanide metal atom in each compound is eight-coordinated to oxygen atoms forming two orthogonal interpenetrating tetrahedra. Each tetrahedron has distinct bond distances. The resultant polyhedron is best described as distorted dodecahedron (D_2d). Important crystal data, parameters, bond lengths, and angles are tabularized.