The structure of the lithium zinc borate LiZnBO3 has been established by single-crystal X-ray diffraction methods. It crystallizes in the triclinic space group P1(Z=2), with unit-cell parameters - $a=5.0915(9)AA$, $b=5.059(1)AA$, $c=6.156(1)AA$, $V=120.6(1)AA3$ , $alpha=65.81(1)^{circ}$, $eta=65.56(1)^{circ}$ and $gamma=59.77(1)^{circ}$. The structure was determined from 704 unique reflections and refined to the final residuals R=0.039 and wR=0.056. It is characterized by an association of BO3 triangles and LiO4 and ZnO4 tetrahedra. The Li and Zn atoms are disordered around the average positions between Li1 and Li2 atoms or between Zn1 and Zn2 atoms. The disorder can be described by four half-occupied positions about Li1, Li2, Zn1 and Zn2 atoms.